Numerical relativity and compact binaries

By T. Baumgarte, Stuart L. Shapiro. 2002

160 citations recorded by the source corpus.

Abstract Numerical relativity is the most promising tool for theoretically modeling the inspiral and coalescence of neutron star and black hole binaries, which, in turn, are among the most promising sources of gravitational radiation for future detection by gravitational wave observatories. In this article we review numerical relativity approaches to modeling compact binaries. Starting with a brief introduction to the 3+1 decomposition of Einstein's equations, we discuss important components of numerical relativity, including the initial data problem, reformulations of Einstein's equations, coordinate conditions, and strategies for locating and handling black holes on numerical grids. We focus on those approaches which currently seem most relevant for the compact binary problem. We then outline how these methods are used to model binary neutron stars and black holes, and review the current status of inspiral and coalescence simulations.

Subfields: Astronomy and Astrophysics, Geophysics

View Paper: https://www.semanticscholar.org/paper/19a8ee46e9cba0ce0462c4ea5ef4b6c814a6c232

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Geophysics

Citations in the corpus

A 3+1 perspective on null hypersurfaces and isolated horizons (2005, methodology): “These vigorous observational activities constitute one of the main motivations for new theoretical developments on black holes, ranging from new quasi-local formalisms [18,31] to numerical relativity [3,25], going through perturbative techniques [140] and post-Newtonian ones [28].”
The Confrontation between General Relativity and Experiment (2005, background): “This field of “numerical relativity” is a rapidly growing and maturing branch of gravitational physics, whose description is beyond the scope of this review (see [165, 24] for reviews).”
Black-hole binaries, gravitational waves, and numerical relativity (2010, background): “The review articles by Lehner (2001) and Baumgarte and Shapiro (2003) provide interesting surveys of numerical relativity several years before the breakthroughs in black-hole merger simulations.”
The basics of gravitational wave theory (2005, methodology): “We adapt what Baumgarte and Shapiro [37] call the ‘Fortran convention’ for indices: a, b, c .”
Black Hole Spin Evolution (2003, methodology): “We compare some of the available results for nonspinning black holes in Table 1, adapted from Baumgarte & Shapiro (2003).”
Tidal Love Numbers of Neutron Stars (2007, unknown): “Several numerical simulations of the hydrodynamics of NS-NSmergers have studied the dependence of the gravitational wave spectrum on the radius and EOS (see, e.g., Baumgarte & Shapiro 2003 and references therein).”
Numerical methods for finding stationary gravitational solutions (2015, background): “[5] T.”
Spin, Accretion, and the Cosmological Growth of Supermassive Black Holes (2004, background): “[See, e.g., Baumgarte & Shapiro 2003 for a review of binary black hole coalescence, and references; see Gammie, Shapiro & McKinney 2004 for a general discussion of black hole spin-up and spin-down mechanisms, and references].”
Gravitational Recoil from Spinning Binary Black Hole Mergers (2007, methodology): “The lapse is a ‘‘local’’ measure of proper time, and the shift vector encapsulates the freedom to label events at a given time (Baumgarte & Shapiro 2003).”