Spectral Cauchy Characteristic Extraction of strain, news and gravitational radiation flux

Abstract

We present a new approach for the Cauchy-characteristic extraction of gravitational radiation strain, news function, and the flux of the energy-momentum, supermomentum and angular momentum associated with the Bondi-Metzner-Sachs asymptotic symmetries. In Cauchy-characteristic extraction, a characteristic evolution code takes numerical data on an inner worldtube supplied by a Cauchy evolution code, and propagates it outwards to obtain the space-time metric in a neighborhood of null infinity. The metric is first determined in a scrambled form in terms of coordinates determined by the Cauchy formalism. In prior treatments, the waveform is first extracted from this metric and then transformed into an asymptotic inertial coordinate system. This procedure provides the physically proper description of the waveform and the radiated energy but it does not generalize to determine the flux of angular momentum or supermomentum. Here we formulate and implement a new approach which transforms the full metric into an asymptotic inertial frame and provides a uniform treatment of all the radiation fluxes associated with the asymptotic symmetries. Computations are performed and calibrated using the Spectral Einstein Code (SpEC).

30 pages, 17 figures

References in corpus (8)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Total recoil: the maximum kick from nonspinning black-hole binary inspiral
• Binary black hole mergers: large kicks for generic spin orientations
• Superkicks in Hyperbolic Encounters of Binary Black Holes
• Global aspects of radiation memory
• Strategies for the Characteristic Extraction of Gravitational Waveforms
• Angular momentum of isolated systems
• The Advanced LIGO Gravitational Wave Detector

Cited by in corpus (24)

• The SXS Collaboration catalog of binary black hole simulations
• Surrogate model of hybridized numerical relativity binary black hole waveforms
• A Surrogate Model of Gravitational Waveforms from Numerical Relativity Simulations of Precessing Binary Black Hole Mergers
• Extraction of Gravitational Waves in Numerical Relativity
• Interpreting Binary Neutron Star Mergers: Describing the Binary Neutron Star Dynamics, Modelling Gravitational Waveforms, and Analyzing Detections
• Spin memory effect for compact binaries in the post-Newtonian approximation
• On choosing the start time of binary black hole ringdown
• Center-of-mass angular momentum and memory effect in asymptotically flat spacetimes
• Improved Cauchy-characteristic evolution system for high-precision numerical relativity waveforms
• Aspects of multimode Kerr ring-down fitting
• Brans-Dicke theory in Bondi-Sachs form: Asymptotically flat solutions, asymptotic symmetries and gravitational-wave memory effects
• A Review of Gravitational Memory and BMS Frame Fixing in Numerical Relativity
• Flux-balance equations for linear momentum and center-of-mass position of self-gravitating post-Newtonian systems
• Extending Gravitational Wave Extraction Using Weyl Characteristic Fields
• Spectral Cauchy-characteristic extraction of the gravitational wave news function
• Including mode mixing in a higher-multipole model for gravitational waveforms from nonspinning black-hole binaries
• Affine-null metric formulation of General Relativity at two intersecting null hypersurfaces
• Fully relativistic three-dimensional Cauchy-characteristic matching for physical degrees of freedom
• Global simulations of Minkowski space-time including space-like infinity
• Merging black holes with Cauchy-characteristic matching: Computation of late-time tails
• Radiation Memory, Boosted Schwarzschild Spacetimes and Supertranslations
• Simulating binary black hole mergers using discontinuous Galerkin methods
• Definitions of (super) angular momentum in asymptotically flat spacetimes: Properties and applications to compact-binary mergers
• A symmetric hyperbolic formulation of the vacuum Einstein equations in affine-null coordinates