author={Larry Smarr},
  journal={Annals of the New York Academy of Sciences},
  • L. Smarr
  • Published 1 December 1977
  • Physics
  • Annals of the New York Academy of Sciences
The next decade will see the development of a number of new types of sensitive gravitational wave antennae which will probe the universe for a variety of new relativistic sources (see Thorne’ for an excellent review). As a parallel program, computer programs must be designed that allow theorists to predict the gravity wave signatures of these expected sources. These programs will solve the full Einstein equations of general relativity (or other proposed theories of gravity), to build space… 
Black-hole binaries, gravitational waves, and numerical relativity
Understanding the predictions of general relativity for the dynamical interactions of two black holes has been a long-standing unsolved problem in theoretical physics. Black-hole mergers are
Numerical relativity (numerical solution of Einstein equations) is rapidly becoming a major tool for the study of relativistic phenomena. In the last decade, we have developed a good understanding of
Initial Data for the Two-Body Problem of General Relativity
The numerical study of Einstein’s equations is of considerable interest for both astrophysical and purely theoretical reasons as it provides the only known avenue for the study of strong field,
Binary Black Holes, Gravitational Waves, and Numerical Relativity
The final merger of comparable mass binary black holes produces an intense burst of gravitational radiation and is one of the strongest sources for both ground-based and space-based gravitational
Gravitational Self-Force: Orbital Mechanics Beyond Geodesic Motion
The question of motion in a gravitationally bound two-body system is a longstanding open problem of General Relativity. When the mass ratio \(\eta \) is small, the problem lends itself to a
Time Evolution of Pure Gravitational Waves
Numerical solutions to the Einstein equations in the case of pure gravitational waves are given. The system is assumed to be axially symmetric and non·rotating. The time symmetric initial data and
The emergence of gravitational wave science: 100 years of development of mathematical theory, detectors, numerical algorithms, and data analysis tools
On September 14, 2015, the newly upgraded Laser Interferometer Gravitational-wave Observatory (LIGO) recorded a loud gravitational-wave (GW) signal, emitted a billion light-years away by a coalescing
Evolution of 3D boson stars with waveform extraction
Numerical results from a study of boson stars under nonspherical perturbations using a fully general relativistic 3D code are presented together with the analysis of emitted gravitational radiation.
Numerical relativity in black hole spacetimes
This thesis is concerned with the development of better techniques for the 3 + 1 numerical relativity study of black hole spacetimes. The main result of this thesis is the development of a new
Numerical relativity and black-hole collisions.
In four lectures I review numerical techniques for solving the Einstein equations on supercomputers, with application to colliding black hole spacetimes. There are two parts to the lectures: (1)


Collision of two black holes: Theoretical framework
Highly nonspherical time-dependent collisions between black holes may be powerful sources of gravitational radiation. We consider various attempts at estimating the efficiency of the generation of
A broad question links pure mathematical relativity to more pragmatic theoretical astrophysics: how do black holes interact with an astrophysical environment? Answers to this question are sought at
High-speed black-hole encounters and gravitational radiation
Encounters between black holes are considered in the limit that the approach velocity tends to the speed of light. At high speeds, the incoming gravitational fields are concentrated in two
Perturbations of a rotating black hole. I. Fundamental equations for gravitational, electromagnetic, and neutrino-field perturbations
Decoupled, separable equations describing perturbations of a Kerr black hole are derived. These equations can be used to study black-hole processes involving scalar, electromagnetic, neutrino or
Black Holes and Thermodynamics
A black hole of given mass, angular momentum, and charge can have a large number of different unobservable internal configurations which reflect the possible different initial configurations of the
Mass-angular-momentum regimes for certain instabilities of a compact, rotating stellar core
Equilibrium states and domains of instability for compact, rapidly rotating stellar cores are investigated. Using a ''one-zone'' average-pressure model based on Maclaurin spheroids, regimes
Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
This paper is divided into four parts. In part A, some general considerations about gravitational radiation are followed by a treatment of the scalar wave equation in the manner later to be applied
The tidal disruption of neutron stars by black holes in close binaries.
The formation of close, doubly compact binary systems from close massive binaries is considered. Massive X-ray binaries are shown to be possible progenitors of these systems. The recent observation
Gravitational radiation from stellar collapse - The initial burst
The burst of gravitational radiation emitted during the initial collapse and rebound of a homogeneous, uniformly rotating spheroid with internal pressure is analyzed numerically. The surface of the
Gravitational-wave bursts from the nuclei of distant galaxies and quasars: proposal for detection using Doppler tracking of interplanetary spacecraft
It is argued that the collapse which forms the supermassive black holes that are likely to exist in the nuclei of many quasars and galaxies, and collisions between those holes, should produce strong