Numerical Relativity and Astrophysics

Abstract

Throughout the Universe many powerful events are driven by strong gravitational effects that require general relativity to fully describe them. These include compact binary mergers, black hole accretion and stellar collapse, where velocities can approach the speed of light, and extreme gravitational fields --${\Phi }_{\mathrm{Newt}}/c^2\simeq 1$-- mediate the interactions. Many of these processes trigger emission across a broad range of the electromagnetic spectrum. Compact binaries further source strong gravitational wave emission that could directly be detected in the near future. This feat will open up a gravitational wave window into our Universe and revolutionize its understanding. Describing these phenomena requires general relativity, and --where dynamical effects strongly modify gravitational fields-- the full Einstein equations coupled to matter sources. Numerical relativity is a field within general relativity concerned with studying such scenarios that cannot be accurately modeled via perturbative or analytical calculations. In this review, we examine results obtained within this discipline, with a focus on its impact in astrophysics.

46 pages, 8 Figures; version of publication to appear in Annual Review of Astronomy and Astrophysics

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• Gravitational waves and neutrino emission from the merger of binary neutron stars
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• Numerical Relativity: A review
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• The Spin of Supermassive Black Holes
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• Tracking the precession of compact binaries from their gravitational-wave signal
• Remnant Masses, Spins and Recoils from the Merger of Generic Black-Hole Binaries
• Formation of Double Compact Objects
• Evolving black hole-neutron star binaries in general relativity using pseudospectral and finite difference methods
• Black-Hole Spin and Galactic Morphology
• Unequal Mass Binary Black Hole Plunges and Gravitational Recoil
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• Black Hole Mergers and Unstable Circular Orbits
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• Gravitational and electromagnetic outputs from binary neutron star mergers
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• Simulating binary neutron stars: dynamics and gravitational waves
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• Continuum and Discrete Initial-Boundary-Value Problems and Einstein's Field Equations
• Binary Black-Hole Mergers in Magnetized Disks: Simulations in Full General Relativity
• The Gravitational Universe
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• Axisymmetric simulations of magnetorotational core collapse: Approximate inclusion of general relativistic effects
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• Tidal Disruptions of White Dwarfs from Ultra-Close Encounters with Intermediate Mass Spinning Black Holes
• Prompt Shocks in the Gas Disk Around a Recoiling Supermassive Black Hole Binary
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Cited by in corpus (94)

• Testing General Relativity with Present and Future Astrophysical Observations
• The SXS Collaboration catalog of binary black hole simulations
• The Effective Field Theorist's Approach to Gravitational Dynamics
• The Arepo public code release
• Deep Learning for Real-time Gravitational Wave Detection and Parameter Estimation: Results with Advanced LIGO Data
• Long-term GRMHD Simulations of Neutron Star Merger Accretion Disks: Implications for Electromagnetic Counterparts
• Black Hole Mergers and the QCD Axion at Advanced LIGO
• Electromagnetic Signatures of Neutron Star Mergers in the Advanced LIGO Era
• Effects of the microphysical Equation of State in the mergers of magnetized Neutron Stars With Neutrino Cooling
• Three-dimensional GRMHD simulations of neutrino-cooled accretion disks from neutron star mergers
• Low mass binary neutron star mergers : gravitational waves and neutrino emission
• Signatures of hypermassive neutron star lifetimes on r-process nucleosynthesis in the disk ejecta from neutron star mergers
• Hydrodynamics of core-collapse supernovae and their progenitors
• Production of the entire range of r-process nuclides by black hole accretion disc outflows from neutron star mergers
• Post-merger evolution of a neutron star-black hole binary with neutrino transport
• Impact of an improved neutrino energy estimate on outflows in neutron star merger simulations
• Cosmological Tests of Gravity
• Multimessenger constraints for ultra-dense matter
• Directly comparing GW150914 with numerical solutions of Einstein's equations for binary black hole coalescence
• Tests of General Relativity with GWTC-3
• Observing and measuring the neutron-star equation-of-state in spinning binary neutron star systems
• Black Hole Mergers From Globular Clusters Observable by LISA II: Resolved Eccentric Sources and the Gravitational Wave Background
• Highly eccentric inspirals into a black hole
• Neutron star mergers as a probe of modifications of general relativity with finite-range scalar forces
• Black hole merger estimates in Einstein-Maxwell and Einstein-Maxwell-dilaton gravity
• Coalescence of black hole--neutron star binaries
• The Large D Limit of Einstein's Equations
• The $m=1$ instability \& gravitational wave signal in binary neutron star mergers
• Massively Parallel Simulations of Binary Black Hole Intermediate-Mass-Ratio Inspirals
• Gravitational wave signatures of dark matter cores in binary neutron star mergers by using numerical simulations
• Effective Field Theory for Extreme Mass Ratios
• Dissipative Evolution of Unequal Mass Binary-Single Interactions and its Relevance to Gravitational Wave Detections
• Eccentric binary black holes: Comparing numerical relativity and small mass-ratio perturbation theory
• Analytical Black-Hole Binary Merger Waveforms
• Improvements to the construction of binary black hole initial data
• Lorenz gauge gravitational self-force calculations of eccentric binaries using a frequency domain procedure
• Testing the nonlinear stability of Kerr-Newman black holes
• Eccentric-orbit EMRI gravitational wave energy fluxes to 7PN order
• Worldline effective field theory of inspiralling black hole binaries in presence of dark photon and axionic dark matter
• Double Gravitational Wave Mergers
• Black hole binary inspiral: Analysis of the plunge
• Fast spectral source integration in black hole perturbation calculations
• Deep Learning with Quantized Neural Networks for Gravitational Wave Forecasting of Eccentric Compact Binary Coalescence
• Modeling gravitational waves from exotic compact objects
• Electromagnetic outflows in a class of scalar-tensor theories: binary neutron star coalescence
• On Constraining the Growth History of Massive Black Holes via Their Distribution on the Spin-Mass Plane
• Black Hole Formation from the Collision of Plane-Fronted Gravitational Waves
• Deforming Black Hole and Cosmological Solutions by Quasiperiodic and/or Pattern Forming Structures in Modified and Einstein Gravity
• Evolution of diffuse scalar clouds around binary black holes
• Initial data for general relativistic simulations of multiple electrically charged black holes with linear and angular momenta
• About gravitational-wave generation by a three-body system
• Moving Closer to the Collapse of a Massless Scalar Field in Spherically Symmetric Anti-de Sitter Spacetimes
• Numerical renormalization group-based approach to secular perturbation theory
• Constrains on the electric charges of the binary black holes with GWTC-1 events
• Gravitational Waves from Disks Around Spinning Black Holes: Simulations in Full General Relativity
• Self-interacting scalar fields at high-temperature
• Collapsing shells, critical phenomena and black hole formation
• Modeling Mergers of Known Galactic Systems of Binary Neutron Stars
• Particle motion under the conservative piece of the self-force is Hamiltonian
• Learning orbital dynamics of binary black hole systems from gravitational wave measurements
• Estimating gravitational radiation from super-emitting compact binary systems
• Initial data for black hole-neutron star binaries, with rotating stars
• Gravitational-wave parameter inference with the Newman-Penrose scalar ${\psi }_4$
• Cosmology using numerical relativity
• Python Open Source Waveform Extractor (POWER): An open source, Python package to monitor and post-process numerical relativity simulations
• Numerical Measurements of Scaling Relations in Two-Dimensional Conformal Fluid Turbulence
• Conservative Scattering of Reissner-Nordström Black Holes at Third Post-Minkowskian Order
• On anisotropic two-fluid stellar objects in General Relativity
• Initial data for high-compactness black hole-neutron star binaries
• Motion of a spinning particle under the conservative piece of the self-force is Hamiltonian to first order in mass and spin
• Dilatonic Imprints on Exact Gravitational Wave Signatures
• Extreme Gravitational Interactions in the Problem of Three Black Holes in General Relativity
• First investigation of void statistics in numerical relativity simulations
• The binary black hole explorer: on-the-fly visualizations of precessing binary black holes
• Inferring Binary Properties from Gravitational Wave Signals
• Arrival Times of Gravitational Radiation Peaks for Binary Inspiral
• Probing the formation of the seeds of supermassive black holes with gravitational waves
• SPH Methods in the Modelling of Compact Objects
• Populating the landscape in an inhomogeneous universe
• On constraint preservation and strong hyperbolicity
• Methods for relativistic self-gravitating fluids: From binary neutron stars to black hole-disks and magnetized rotating neutron stars
• Unveiling the electrodynamic nature of spacetime collisions
• Turbulence, Gravity, and Multimessenger Asteroseismology
• Estimating the Final Spin of Binary Black Holes Merger in STU Supergravity
• Numerical Relativity and the Discovery of Gravitational Waves
• Quasi-normal acoustic oscillations in the transonic Bondi flow
• Asymptotically matched quasi-circular inspiral and transition-to-plunge in the small mass ratio expansion
• New symmetry in higher curvature spacetimes
• Calibrating approximate Bayesian credible intervals of gravitational-wave parameters
• Numerical Relativity with Arbitrary Precision Arithmetic: Applications to Gravitational Collapse
• Symmetry evolution for the imperfect fluid under perturbations
• On the Linear Regime of the Characteristic formulation of General relativity in the Minkowski and Schwarzschild's Backgrounds
• Generic effective sources for first-order in mass-ratio gravitational self-force calculations in Schwarzschild spacetime
• Persistence of post-Newtonian amplitude structure in binary black hole mergers