On the Numerical Integration of Einstein's Field Equations

Abstract

Many numerical codes now under development to solve Einstein's equations of general relativity in 3+1 dimensional spacetimes employ the standard ADM form of the field equations. This form involves evolution equations for the raw spatial metric and extrinsic curvature tensors. Following Shibata and Nakamura, we modify these equations by factoring out the conformal factor and introducing three ``connection functions''. The evolution equations can then be reduced to wave equations for the conformal metric components, which are coupled to evolution equations for the connection functions. We evolve small amplitude gravitational waves and make a direct comparison of the numerical performance of the modified equations with the standard ADM equations. We find that the modified form exhibits much improved stability.

7 pages, 3 figures, RevTeX, to appear in Phys. Rev. D

References in corpus (1)

• Correlation Between Energy Spectral States and Fast Time Variability and Further Evidence for the Marginally Stable Orbit in 4U 1820-30

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• An implementation of the microphysics in full general relativity : General relativistic neutrino leakage scheme
• The Asymptotic Falloff of Local Waveform Measurements in Numerical Relativity
• Determining the Structure of Rotating Massive Stellar Cores with Gravitational Waves
• Gravitational Collapse in Cubic Horndeski Theories
• Luminosity distance and anisotropic sky-sampling at low redshifts: a numerical relativity study
• Neutron star collapse and gravitational waves with a non-convex equation of state
• Conformal and Weyl-Einstein gravity: Classical geometrodynamics
• Numerical-relativity simulations of the quasi-circular inspiral and merger of non-spinning, charged black holes: methods and comparison with approximate approaches
• A Simple method to set up low eccentricity initial data for moving puncture simulations
• Dynamical $\ell$-boson stars: generic stability and evidence for non-spherical solutions
• Gravitational Waves from Binary Black Hole Mergers Inside of Stars
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• The Limited Accuracy of Linearized Gravity
• A brief history of gravitational wave research
• Interface Conditions for Wave Propagation Through Mesh Refinement Boundaries
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• Numerical relativity simulations of thick accretion disks around tilted Kerr black holes
• Black hole critical behaviour with the generalized BSSN formulation
• Dynamical Gauge Conditions for the Einstein Evolution Equations
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• Illustrating Stability Properties of Numerical Relativity in Electrodynamics
• Jet Launching from Merging Magnetized Binary Neutron Stars with Realistic Equations of State
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• Hyperbolic formulations and numerical relativity: Experiments using Ashtekar's connection variables
• Computational Cosmology: from the Early Universe to the Large Scale Structure
• Constraint propagation in the family of ADM systems
• Fully General Relativistic Magnetohydrodynamic Simulations of Accretion Flows onto Spinning Massive Black Hole Binary Mergers
• Universality of curvature invariants in critical vacuum gravitational collapse
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• Critical phenomena in the gravitational collapse of electromagnetic waves
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• Remarks on the maximum luminosity
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• Spherical symmetry as a test case for unconstrained hyperboloidal evolution II: gauge conditions
• Comparing the inspiral of irrotational and corotational binary neutron stars
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• Numerical simulation of type II primordial black hole formation
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• Numerical Simulations of Oscillating Soliton Stars: Excited States in Spherical Symmetry and Ground State Evolutions in 3D
• Evolutions of Nearly Maximally Spinning Black Hole Binaries Using the Moving Puncture Approach
• On the equivalence between the Scheduled Relaxation Jacobi method and Richardson's non-stationary method
• Cosmological nonlinear structure formation in full general relativity
• Multidimensional Boltzmann Neutrino Transport Code in Full General Relativity for Core-collapse Simulations
• On the vacuum Einstein equations along curves with a discrete local rotational and reflection symmetry
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• The Gravitational Wave Signature of Core-Collapse Supernovae
• Alternatives to standard puncture initial data for binary black hole evolution
• Entropy-limited hydrodynamics: a novel approach to relativistic hydrodynamics
• Introduction to Numerical Relativity
• Gauge preheating with full general relativity
• Coherent Gravitational Waveforms and Memory from Cosmic String Loops
• Covariant gravitational dynamics in 3+1+1 dimensions
• Stability properties of a formulation of Einstein's equations
• Minidisk Influence on Flow Variability in Accreting Spinning Black Hole Binaries: Simulations in Full General Relativity
• Initial-data contribution to the error budget of gravitational waves from neutron-star binaries
• An automatically generated code for relativistic inhomogeneous cosmologies
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• Quantifying uncertainties in general relativistic magnetohydrodynamic codes
• Finite differencing second order systems describing black hole spacetimes
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• Nonlinear Dynamics of Quadratic Gravity in Spherical Symmetry
• Geometrically motivated hyperbolic coordinate conditions for numerical relativity: Analysis, issues and implementations
• Neutron star equation of state via gravitational wave observations
• On free evolution of self gravitating, spherically symmetric waves
• Detectability of SASI activity in supernova neutrino signals
• Geometric mean of bimetric spacetimes
• The fate of twin stars on the unstable branch: implications for the formation of twin stars
• The Initial-Boundary Value Problem in General Relativity
• Stiffness effects on the dynamics of the bar-mode instability of Neutron Stars in full General Relativity
• Dynamically stable ergostars exist: General relativistic models and simulations
• Self-gravitating oscillons and new critical behavior
• Probing neutron star structure via f-mode oscillations and damping in dynamical spacetime models
• Electromagnetic emission from axionic boson star collisions
• Black hole formation in relativistic Oscillaton collisions
• Jetlike structures in low-mass binary neutron star merger remnants
• Gravitational dynamics in Higgs inflation: Preinflation and preheating with an auxiliary field
• Post-merger chirps from binary black holes as probes of the final black-hole horizon
• Boundary conditions for the Baumgarte-Shapiro-Shibata-Nakamura formulation of Einstein's field equations
• Simulating the Magnetorotational Collapse of Supermassive Stars: Incorporating Gas Pressure Perturbations and Different Rotation Profiles
• Stability of the puncture method with a generalized BSSN formulation
• Evolution of equal mass binary bare quark stars in full general relativity: could a supramassive merger remnant experience prompt collapse?
• Toward a Consistent Framework for High Order Mesh Refinement Schemes in Numerical Relativity
• Properties of scalar wave emission in a scalar-tensor theory with kinetic screening
• Compact Binary Coalescences in Dense Gaseous Environments Can Pose as ones in Vacuum
• Adapted gauge to small mass ratio binary black hole evolutions
• Gravitational Waves from Disks Around Spinning Black Holes: Simulations in Full General Relativity
• Electromagnetic Emission from a Binary Black Hole Merger Remnant in Plasma: Field Alignment and Plasma Temperature
• Action principle for Numerical Relativity evolution systems
• A cosmologically motivated reference formulation of numerical relativity
• Numerical Relativity in 3+1 Dimensions
• Improving the convergence order of binary neutron star merger simulations in the Baumgarte-Shapiro-Shibata-Nakamura formulation
• Birth of baby universes from gravitational collapse in a modified-gravity scenario
• A new method to compute quasi-local spin and other invariants on marginally trapped surfaces
• Magnetic Braking and Damping of Differential Rotation in Massive Stars
• Shock-avoiding slicing conditions: tests and calibrations
• Slicing conditions for axisymmetric gravitational collapse of Brill waves
• Higher dimensional Numerical Relativity: code comparison
• Fully relativistic nonlinear cosmological evolution in spherical symmetry using the BSSN formalism
• Constraint propagation equations of the 3+1 decomposition of f(R) gravity
• Critical gravitational collapse with angular momentum II: soft equations of state
• Implicit-explicit (IMEX) evolution of single black holes
• A numerical testbed for singularity excision in moving black hole spacetimes
• Trumpet slices of the Schwarzschild-Tangherlini spacetime
• Critical gravitational collapse with angular momentum
• Modeling Mergers of Known Galactic Systems of Binary Neutron Stars
• Entropy-limited higher-order central scheme for neutron star merger simulations
• Non-topological solitons and quasi-solitons
• Self-interacting dipolar boson stars and their dynamics
• Are moving punctures equivalent to moving black holes?
• Horizon Pretracking
• General Relativistic Cosmological N-body Simulations I: time integration
• Three-dimensional adaptive evolution of gravitational waves in numerical relativity
• Generalized harmonic formulation in spherical symmetry
• Simulating neutron star mergers with the Lagrangian Numerical Relativity code SPHINCS_BSSN
• Gravitational Collapse of a Massless Scalar Field in a Periodic Box
• Critical phenomena in the gravitational collapse of electromagnetic dipole and quadrupole waves
• The numerical initial boundary value problem for the generalized conformal field equations
• A hybrid approach to long-term binary neutron-star simulations
• Evolution of bare quark stars in full general relativity: Single star case
• Summation by Parts and Truncation Error Matching on Hyperboloidal Slices
• Mapping eccentricity evolutions between numerical relativity and effective-one-body gravitational waveforms
• Improved Moving-Puncture Techniques for Compact Binary Simulations
• GRMHD study of accreting massive black hole binaries in astrophysical environment: a review
• Reducing reflections from mesh refinement interfaces in numerical relativity
• Critical phenomena in the collapse of quadrupolar and hexadecapolar gravitational waves
• Spherically symmetric black hole spacetimes on hyperboloidal slices
• The high-energy collision of black holes in higher dimensions
• Does charge matter in high-energy collisions of black holes?
• On the dynamics of tilted black hole-torus systems
• An improved formulation of the relativistic hydrodynamics equations in 2D Cartesian coordinates
• Critical gravitational collapse of a massive complex scalar field
• Non-linear metric perturbation enhancement of primordial gravitational waves
• Gravitational recoil from binary black hole mergers in scalar field clouds
• Long-term stable nonlinear evolutions of ultracompact black-hole mimickers
• Neutron Star instabilities in full General Relativity using a $\Gamma =2.75$ ideal fluid
• General Relativistic Magnetohydrodynamic Simulations of Accretion Disks Around Tilted Binary Black Holes of Unequal Mass
• Black-hole head-on collisions in higher dimensions
• NRPyElliptic: A Fast Hyperbolic Relaxation Elliptic Solver for Numerical Relativity, I: Conformally Flat, Binary Puncture Initial Data
• Effects of nuclear matter properties in neutron star mergers
• GRMHD simulations of accretion flows onto massive binary black hole mergers embedded in a thin slab of gas
• Neutron stars formation and Core Collapse Supernovae
• GRFolres: A code for modified gravity simulations in strong gravity
• Accretion onto black holes inside neutron stars with piecewise-polytropic equations of state: analytic and numerical treatments
• 3D Simulation of Spindle Gravitational Collapse of a Collisionless Particle System
• Hydro-without-Hydro Framework for Simulations of Black Hole-Neutron Star Binaries
• Numerical Inside View of Hypermassive Remnant Models for GW170817
• Cosmology using numerical relativity
• Excision boundary conditions for the conformal metric
• Numerical modeling of black holes as sources of gravitational waves in a nutshell
• Free evolution of the hyperboloidal initial value problem in spherical symmetry
• Evolutions of unequal mass, highly spinning black hole binaries
• Causal propagation of constraints in bimetric relativity in standard 3+1 form
• Evolution of scalar fields surrounding black holes on compactified constant mean curvature hypersurfaces
• Finite-temperature effects in dynamical-spacetime binary neutron star merger simulations: Validation of the parametric approach
• A spectral method algorithm for numerical simulations of gravitational fields
• Finite Difference Methods for Second Order in Space, First Order in Time Hyperbolic Systems and the Linear Shifted Wave Equation as a Model Problem in Numerical Relativity
• Python Open Source Waveform Extractor (POWER): An open source, Python package to monitor and post-process numerical relativity simulations
• Systematic effects from black hole-neutron star waveform model uncertainties on the neutron star equation of state
• Boundary Conditions for the Gravitational Field
• Black Hole Formation and Explosion from Rapidly Rotating Very Massive Stars
• A numerical relativity scheme for cosmological simulations
• Is general relativity `essentially understood' ?
• Gauge stability of 3+1 formulations of General Relativity
• Axisymmetric Numerical Relativity
• Supporting High-Performance and High-Throughput Computing for Experimental Science
• Strong Field Scattering of Black Holes: Assessing Resummation Strategies
• Formulation Improvements for Critical Collapse Simulations
• Bona-Masso slicing conditions and the lapse close to black-hole punctures
• A Linear-Nonlinear Formulation of Einstein Equations for the Two-Body Problem in General Relativity
• Lecture Notes: Numerical Relativity in higher dimensional spacetimes
• Spherically Symmetric N-body Simulations with General Relativistic Dynamics
• Initial Conditions for Numerical Relativity -- Introduction to numerical methods for solving elliptic PDEs
• Postmerger multimessenger analysis of binary neutron stars: Effect of the magnetic field strength and topology
• Robustness of inflation to kinetic inhomogeneities
• On the question of measuring spatial curvature in an inhomogeneous universe
• Einstein boundary conditions for the Einstein equations in the conformal-traceless decomposition
• A remedy for constraint growth in Numerical Relativity
• Gravitational-wave imprints of non-convex dynamics in binary neutron star mergers
• Handing off the outcome of binary neutron star mergers for accurate and long-term post-merger simulations
• Critical collapse of ultra-relativistic fluids: damping or growth of aspherical deformations
• Oppenheimer-Snyder Collapse in Moving-Puncture Coordinates
• $\mathtt{bimEX}$: A Mathematica package for exact computations in $3+1$ bimetric relativity
• Gravitational waveforms for high spin and high mass-ratio binary black holes: A synergistic use of numerical-relativity codes
• Spherical dust collapse in bimetric relativity: Bimetric polytropes
• Constraint and gauge shocks in one-dimensional numerical relativity
• Relativistic radiation hydrodynamics in a reference-metric formulation
• Bowen-York Type Initial Data for Binaries with Neutron Stars
• Non-linear cosmological collapse of quintessence
• Piercing of a solitonic boson star by a black hole
• Height-function-based 4D reference metrics for hyperboloidal evolution
• Signature of hadron-quark crossover in binary-neutron-star mergers
• Simulations of Ellipsoidal Primordial Black Hole Formation
• Super-Extremal Spinning Black Holes via Accretion
• Critical gravitational collapse of a non-minimally coupled scalar field
• Dark Energy Gravitational Wave Observations and Ice Age Periodicity
• Black hole-neutron star mergers with massive neutron stars in numerical relativity
• Black holes and fundamental fields: hair, kicks and a gravitational "Magnus" effect
• Geodesic curvature driven surface microdomain formation
• Problematic systematics in neutron-star merger simulations
• Gravitational wave content and stability of uniformly, rotating, triaxial neutron stars in general relativity
• Relativistic gas accretion onto supermassive black Hole binaries from inspiral through merger
• Falloff of the Weyl scalars in binary black hole spacetimes
• Geometrization of metric boundary data for Einstein's equations
• Gauge fixing for the simulation of black hole spacetimes
• Gravitational wave extraction in higher dimensional numerical relativity using the Weyl tensor
• Universality of the spherical collapse with respect to the matter type : the case of a barotropic fluid with linear equation of state
• Conformal diagrams for stationary and dynamical strong-field hyperboloidal slices
• A new first-order formulation of the Einstein equations exploiting analogies with electrodynamics
• Prospects for the inference of inertial modes from hypermassive neutron stars with future gravitational-wave detectors
• Numerical stability of the AA evolution system compared to the ADM and BSSN systems
• Covariant BSSN formulation in bimetric relativity
• Towards an exascale code for GRMHD on dynamical spacetimes
• Numerical relativity in higher dimensions
• Self-interactions can (also) destabilize bosonic stars
• Second MAYA Catalog of Binary Black Hole Numerical Relativity Waveforms
• Self-gravitating disks around rapidly spinning, tilted black holes: General relativistic simulations
• Boson star superradiance with spinning effects and in time domain
• Extreme Gravitational Interactions in the Problem of Three Black Holes in General Relativity
• Solving the Hamiltonian constraint for 1+log trumpets
• General Relativistic Simulations of High-Mass Binary Neutron Star Mergers: rapid formation of low-mass stellar black holes
• Spinning black hole in the puncture method: Numerical experiments
• Identifying thermal effects in neutron star merger remnants with model-agnostic waveform reconstructions and third-generation detectors
• Magnetic Ergostars, Jet Formation and Gamma-Ray Bursts: Ergoregions versus Horizons
• Numerical Relativity Investigation of the Effects of Gravitational Waves on the Inhomogeneity of the Universe
• An excision scheme for black holes in constrained evolution formulations: spherically symmetric case
• Expanding universe with nonlinear gravitational waves
• Exploring pathways to forming twin stars
• Disembodied boundary data for Einstein's equations
• Assessing the stability of ultracompact spinning boson stars with nonlinear evolutions
• Long term stable integration of a maximally sliced Schwarzschild black hole using a smooth lattice method
• Effects of magnetic field topology in black hole-neutron star mergers: Long-term simulations
• On the Hyperbolicity and Stability of $3+1$ Formulations of Metric $f(R)$ Gravity
• Bondi Accretion in Trumpet Geometries
• Topology change and emergent scale symmetry in compact star matter via gravitational wave detection
• Maximal slicing of D-dimensional spherically-symmetric vacuum spacetime
• Boundary conditions for the Einstein-Christoffel formulation of Einstein's equations
• Kicks in charged black hole binaries
• Coincident Multimessenger Bursts from Eccentric Supermassive Binary Black Holes
• The initial boundary value problem for free-evolution formulations of General Relativity
• Generalized Harmonic Equations in 3+1 Form
• Constraint preserving boundary conditions for the Baumgarte-Shapiro-Shibata-Nakamura formulation in spherical symmetry
• Inside the Final Black Hole: Puncture and Trapped Surface Dynamics
• First investigation of void statistics in numerical relativity simulations
• Numerical Relativity Beyond Astrophysics
• BiGONLight: light propagation with bi-local operators in Numerical Relativity
• Applications of the theory of evolution equations to general relativity
• Are different approaches to constructing initial data for binary black hole simulations of the same astrophysical situation equivalent?
• Improved fast-rotating black hole evolution simulations with modified Baumgarte-Shapiro-Shibata-Nakamura formulation
• Optimizing the Placement of Numerical Relativity Simulations using a Mismatch Predicting Neural Network
• The Lagrangian Numerical Relativity code SPHINCS_BSSN_v1.0
• Measuring the black hole spin direction in 3D Cartesian numerical relativity simulations
• Exact model of gravitational wave and pure radiation
• Probing Near-Horizon Fluctuations with Black Hole Binary Mergers
• Characterizing the effect of eccentricity on the dynamics of binary black hole mergers in numerical relativity
• Numerical experiments of adjusted BSSN systems for controlling constraint violations
• Cosmic expansion from spinning black holes
• A new approach for simulating PBH formation from generic curvature fluctuations with the Misner-Sharp formalism
• Adapted gauge to a quasilocal measure of the black holes recoil
• Critical behavior of spherically symmetric domain wall collapse
• Hamiltonian Relaxation
• Testing the Cactus code on exact solutions of the Einstein field equations
• Constraint Propagation of $C^2$-adjusted Formulation II --- Another Recipe for Robust Baumgarte-Shapiro-Shibata-Nakamura Evolution System ---
• Equilibrium initial data for moving puncture simulations: The stationary 1+log slicing
• Black hole initial data in Gauss-Bonnet gravity: Momentarily static case
• Gauge/frame invariant variables for the numerical relativity study of cosmological spacetimes
• The constraints as evolution equations for numerical relativity
• Action Principle for the Generalized Harmonic Formulation of General Relativity
• Orbiting black-hole binaries and apparent horizons in higher dimensions
• Well-posed formulation of Einstein-Maxwell effective field theory
• Semiclassical Dynamics of Hawking Radiation
• Strongly hyperbolic Hamiltonian systems in numerical relativity: Formulation and symplectic integration
• Computational General Relativistic Force-Free Electrodynamics: I. Multi-Coordinate Implementation and Testing
• Structure formation and quasi-spherical collapse from initial curvature perturbations with numerical relativity simulations
• Well-balanced high order finite difference WENO schemes for a first-order Z4 formulation of the Einstein field equations
• Well-posed constrained evolution of 3+1 formulations of General Relativity
• Lattice Boltzmann Model for Numerical Relativity
• Probing the Binary Black Hole Merger Regime with Scalar Perturbations
• Numerical-relativity simulation for tidal disruption of white dwarfs by a supermassive black hole
• A covariant Hamiltonian tetrad approach to numerical relativity
• Black Hole - Neutron Star Binary Mergers: The Imprint of Tidal Deformations and Debris
• Modifications for numerical stability of black hole evolution
• Stability and collisions of excited spherical boson stars: glimpses of chains and rings
• Mathematical general relativity: a sampler
• Effects of eccentricity on accreting binary black holes: MHD simulations in full GR reveal novel periodicities in jet power and synchrotron spectra
• Dependence of postmerger properties on the thermal heating efficiency in neutron star mergers
• Can quasi-circular mergers of charged black holes produce extremal black holes?
• Puncture black hole initial data in the conformal thin-sandwich formalism
• A complete waveform comparison of post-Newtonian and numerical relativity in eccentric orbits
• A Survey of Spherically Symmetric Spacetimes
• Gravitational Wave Formation from the Collapse of Dark Energy Field Configurations
• Effect of magnetic fields on the dynamics and gravitational wave emission of PPI-saturated self-gravitating accretion disks: simulations in full GR
• On primordial universe in anti-de Sitter landscape
• Accretion of a Phantom Scalar Field by a Black Hole: restrictions on the field distribution
• Dynamics of scalar hair with self-interactions around a Schwarzchild black hole
• Methods for relativistic self-gravitating fluids: From binary neutron stars to black hole-disks and magnetized rotating neutron stars
• Populating the landscape in an inhomogeneous universe
• Hypergraph Discretization of the Cauchy Problem in General Relativity via Wolfram Model Evolution
• Multidomain Galerkin-Collocation method: spherical collapse of scalar fields II
• Long-Term Postmerger Simulations of Binary Neutron Star Coalescence: Formation of Toroidal Remnants and Gravitational Wave Afterglow
• High-order discontinuous Galerkin schemes with subcell finite volume limiter and adaptive mesh refinement for a monolithic first-order BSSNOK formulation of the Einstein-Euler equations
• Avenues for Analytic exploration in Axisymmetric Spacetimes. Foundations and the Triad Formalism
• Splitting the Gravitational Atom: Instabilities of Black Holes with Synchronized or Resonant Hair
• Spin-up and mass-gain in hyperbolic encounters of spinning black holes
• Comparing an analytical spacetime metric for a merging binary to a fully nonlinear numerical evolution using curvature scalars
• Inspiraling black-hole binary spacetimes: Challenges in transitioning from analytical to numerical techniques
• Evolution systems for non-linear perturbations of background geometries
• Hyperbolicity and Constrained Evolution in Linearized Gravity
• A Note on the Strong Hyperbolicity of $f(R)$ Gravity with Dynamical Shifts
• Long-term impact of the magnetic-field strength on the evolution and electromagnetic emission by neutron-star merger remnants
• Unimodular gravity as an initial value problem
• Pseudo-topological Quasi-local Energy of Torsion Gravity
• Insights into Binary Neutron Star Merger Simulations: A Multi-Code Comparison
• Potential for ill-posedness in several 2nd-order formulations of the Einstein equations
• On the initial boundary value problem for the vacuum Einstein equations and geometric uniqueness
• Curvature and dynamical spacetimes: can we peer into the quantum regime?
• Stochastic Inflation in Numerical Relativity
• Self-consistent treatment of thermal effects in neutron-star post-mergers: observational implications for third-generation gravitational-wave detectors
• Free Hyperboloidal Evolution of the Einstein-Maxwell-Klein-Gordon System
• Bunch-Davies initial conditions and non-perturbative inflationary dynamics in Numerical Relativity
• Three little pieces for computer and relativity
• New frontiers in Numerical Relativity
• $f$-mode oscillations of compact stars with realistic equations of state in dynamical spacetime
• On the stability of covariant BSSN formulation
• General relativistic hydrodynamics code for dynamical spacetimes with curvilinear coordinates, tabulated equations of state, and neutrino physics
• Neutron Star Mergers and the Quark Matter Equation of State
• Effect of spin in binary neutron star mergers
• Evolutions of Gowdy, Brill and Teukolsky initial data on a smooth lattice
• Momentum constraint relaxation
• ExaGRyPE: Numerical General Relativity Solvers Based upon the Hyperbolic PDEs Solver Engine ExaHyPE
• A No-Boundary Method for Numerical Relativity
• Numerical solutions for the $f(R)$-Klein-Gordon system
• Schwarzschild-de Sitter Spacetimes, McVittie Coordinates, and Trumpet Geometries
• Apples with Apples comparison of 3+1 conformal numerical relativity schemes
• Circular polarization of gravitational waves from magnetorotational supernovae
• Using Cadabra for tensor computations in General Relativity
• Frequency shift of light emitted from growing and shrinking black holes
• The Gravitational Radiaton degrees of freedom in Hyperbolic Systems for Numerical Relativity
• Signatures of primordial gravitational waves in matter power spectrum
• The BSSN formulation is a partially constrained evolution system
• Impact of ultralight bosonic dark matter on the dynamical bar-mode instability of rotating neutron stars
• Binary Inspirals in Nordström's Second Theory
• Stable long-term evolution in numerical relativity
• A polytopal discrete de Rham scheme for the exterior calculus Einstein's equations
• Rapidly Rotating Neutron Star Collapse in Massive Scalar-Tensor Theories
• Stochastic Einstein equations
• Binary black holes gone MAD: Magnetically arrested minidisks around nonspinning black holes
• Charged Scalar Field at Future Null Infinity via Nonlinear Hyperboloidal Evolution
• Gravitational-Wave Signatures of Massive Black Hole Formation
• Piercing of a boson star by a black hole
• AthenaK simulations of the binary black hole merger GW150914
• Misaligned Spinning Binary Black Hole Mergers in Hot Magnetized Plasma
• Nonlinear Lattice Framework for Inflation: Bridging stochastic inflation and the $\delta N$ formalism
• Isotropic Coordinates for Generalized Schwarzschild-like Solutions
• superB/NRPy: Scalable, Task-Based Numerical Relativity for 3G Gravitational Wave Science
• Testing gravity with the two-body problem
• Ultralight bosonic dark matter in white dwarfs and potential observational consequences
• A Gravitational Wave Background from Primordial Black Hole Lattices in Matter Dominated Era
• Report on GRG18, Session A3, Mathematical Studies of the Field Equations
• Ringdown mode amplitudes of charged binary black holes
• Does relativistic cosmology software handle emergent volume evolution?
• The Parallel Compact Object CALculator: An Efficient General Relativistic Initial Data Solver for Compact Objects
• Aliasing Instabilities in the Numerical Evolution of the Einstein Field Equations
• Persistence of post-Newtonian amplitude structure in binary black hole mergers
• PatchworkWave: A Multipatch Infrastructure for Multiphysics/Multiscale/Multiframe/Multimethod Simulations at Arbitrary Order
• The Fourth RIT binary black hole simulations catalog: Extension to Eccentric Orbits
• Challenging the cosmic censorship in Einstein-Maxwell-scalar theory with numerically simulated gedankenexperiments
• Stable numerical simulation of Einstein equations in gravitational collapse space--time
• Convective stability analysis of massive neutron stars formed in binary mergers
• New numerical framework for the generalized Baumgarte-Shapiro-Shibata-Nakamura formulation: The vacuum case for spherical symmetry
• Incorporating a radiative hydrodynamics scheme in the numerical-relativity code BAM
• Hyperboloidal neutron star and black hole initial data in spherical symmetry
• Non-linear numerical Schemes in General Relativity