Initial Data for Numerical Relativity
TLDR
This work examines several of the formalisms used for specifying Cauchy initial data in the 3 + 1 decomposition of Einstein’s equations and explores how these formalisms have been used in constructing initial data for spacetimes containing black holes and neutron stars.Abstract:
Initial data are the starting point for any numerical simulation. In the case of numerical relativity, Einstein's equations constrain our choices of these initial data. We will examine several of the formalisms used for specifying Cauchy initial data in the 3 + 1 decomposition of Einstein's equations. We will then explore how these formalisms have been used in constructing initial data for spacetimes containing black holes and neutron stars. In the topics discussed, emphasis is placed on those issues that are important for obtaining astrophysically realistic initial data for compact binary coalescence.read more
Citations
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Isolated and dynamical horizons and their applications
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TL;DR: A new, quasi-local framework was introduced to analyze diverse facets of black holes in a unified manner that has introduced a more physical setting for black hole thermodynamics, suggested a phenomenological model for hairy black holes, provided novel techniques to extract physics from numerical simulations, and led to new laws governing the dynamics ofblack holes in exact general relativity.
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A Relativist's Toolkit
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Coalescence of Black Hole-Neutron Star Binaries
Masaru Shibata,Keisuke Taniguchi +1 more
TL;DR: The current status of general relativistic studies for the coalescence of black hole-neutron star (BH-NS) binaries is reviewed and understanding for the merger and/or tidal disruption processes, the criterion for tidal disruption, and the properties of the remnant formed after the tidal disruption are summarized.
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