Waveless Approximation Theories of Gravity

Abstract

The analysis of a general multibody physical system governed by Einstein's equations in quite difficult, even if numerical methods (on a computer) are used. Some of the difficulties -- many coupled degrees of freedom, dynamic instability -- are associated with the presence of gravitational waves. We have developed a number of ``waveless approximation theories'' (WAT) which repress the gravitational radiation and thereby simplify the analysis. The matter, according to these theories, evolves dynamically. The gravitational field, however, is determined at each time step by a set of elliptic equations with matter sources. There is reason to believe that for many physical systems, the WAT-generated system evolution is a very accurate approximation to that generated by the full Einstein theory.

Cited by in corpus (70)

• Binary neutron-star mergers: a review of Einstein's richest laboratory
• Measuring the neutron star equation of state with gravitational wave observations
• Effective One Body description of tidal effects in inspiralling compact binaries
• A New Open-Source Code for Spherically-Symmetric Stellar Collapse to Neutron Stars and Black Holes
• Binary Neutron Star Mergers
• The gravitational wave burst signal from core collapse of rotating stars
• Rotating Stars in Relativity
• A new multi-dimensional general relativistic neutrino hydrodynamics code for core-collapse supernovae. I. Method and code tests in spherical symmetry
• Coalescence of binary neutron stars in a scalar-tensor theory of gravity
• Relativistic Simulations of Black Hole-Neutron Star Mergers: Effects of black-hole spin
• The First Law of Binary Black Hole Mechanics in General Relativity and Post-Newtonian Theory
• Improved constrained scheme for the Einstein equations: An approach to the uniqueness issue
• Magneto-elastic oscillations of neutron stars with dipolar magnetic fields
• GRMHD in axisymmetric dynamical spacetimes: the X-ECHO code
• Bayesian reconstruction of gravitational wave burst signals from simulations of rotating stellar core collapse and bounce
• Towards asteroseismology of core-collapse supernovae with gravitational-wave observations - II. Spacetime perturbations
• Towards asteroseismology of core-collapse supernovae with gravitational-wave observations - I. Cowling approximation
• A new general relativistic magnetohydrodynamics code for dynamical spacetimes
• Nuclear astrophysics: the unfinished quest for the origin of the elements
• Axisymmetric General Relativistic Simulations of the Accretion-Induced Collapse of White Dwarfs
• Conformally curved binary black hole initial data including tidal deformations and outgoing radiation
• Quasiequilibrium sequences of binary neutron stars undergoing dynamical scalarization
• Non-conformally flat initial data for binary compact objects
• A new code for equilibriums and quasiequilibrium initial data of compact objects
• GRAMSES: a new route to general relativistic $N$-body simulations in cosmology. Part I. Methodology and code description
• Initial data for binary neutron stars with adjustable eccentricity
• Numerical relativity in spherical coordinates: A new dynamical spacetime and general relativistic MHD evolution framework for the Einstein Toolkit
• Binary Neutron Stars in Quasi-equilibrium
• Dynamical spacetimes and gravitational radiation in a Fully Constrained Formulation
• Axisymmetric models for neutron star merger remnants with realistic thermal and rotational profiles
• Gmunu: Toward multigrid based Einstein field equations solver for general-relativistic hydrodynamics simulations
• A Novel Multi-Dimensional Boltzmann Neutrino Transport Scheme for Core-Collapse Supernovae
• Equilibrium sequences of differentially rotating stars with post-merger-like rotational profiles
• Three approaches for the classification of protoneutron star oscillation modes
• Gravitational waves in dynamical spacetimes with matter content in the Fully Constrained Formulation
• Horizon Surface Gravity in Corotating Black Hole Binaries
• The Gravitational Wave Signature of Core-Collapse Supernovae
• New code for equilibriums and quasiequilibrium initial data of compact objects. II. Convergence tests and comparisons of binary black hole initial data
• Uniformly rotating, axisymmetric and triaxial quark stars in general relativity
• Neutron star equation of state via gravitational wave observations
• Quasi-universality of the magnetic deformation of neutron stars in general relativity and beyond
• Excised black hole spacetimes: quasi-local horizon formalism applied to the Kerr example
• Dynamic migration of rotating neutron stars due to a phase transition instability
• Properties of scalar wave emission in a scalar-tensor theory with kinetic screening
• Axisymmetric equilibrium models for magnetised neutron stars in Scalar-Tensor Theories
• GRAMSES: a new route to general relativistic $N$-body simulations in cosmology. Part II. Initial conditions
• Computational Models of Stellar Collapse and Core-Collapse Supernovae
• Neutron stars formation and Core Collapse Supernovae
• Complete initial value spacetimes containing black holes in general relativity: Application to black hole-disk systems
• Numerical viscosity in hydrodynamics simulations in general relativity
• On the accuracy of the IWM-CFC approximation in differentially rotating relativistic stars
• Non-axisymmetric oscillations of rapidly rotating relativistic stars by conformal flatness approximation
• Gravitational wave content and stability of uniformly, rotating, triaxial neutron stars in general relativity
• High angular momentum hot differentially rotating equilibrium star evolutions in conformally flat spacetime
• Maximal slicings in spherical symmetry: local existence and construction
• On the absence of conformally flat slicings of the Kerr spacetime
• Evaluating Machine Learning Models for Supernova Gravitational Wave Signal Classification
• First Law of Mechanics for Spinning Compact Binaries: Dipolar Order
• A Black-Hole Excision Scheme for General Relativistic Core-Collapse Supernova Simulations
• Numerical-relativity simulation for tidal disruption of white dwarfs by a supermassive black hole
• Methods for relativistic self-gravitating fluids: From binary neutron stars to black hole-disks and magnetized rotating neutron stars
• Fourth-post-Newtonian-exact approximation to General Relativity
• Conformally flat slices of asymptotically flat spacetimes
• Gravitational scattering of two neutron stars
• Numerical simulations of oscillating and differentially rotating neutron stars
• Constraint-satisfying binary boson star initial data via XCFC
• GenASiS: General Astrophysical Simulation System. II. Self-gravitating Baryonic Matter
• On the local existence of maximal slicings in spherically symmetric spacetimes
• The Parallel Compact Object CALculator: An Efficient General Relativistic Initial Data Solver for Compact Objects
• General Relativistic Stability and Gravitational Wave Content of Rotating Triaxial Neutron Stars