Initial data for N black holes

Thesis/Dissertation · Sun Jan 01 04:00:00 EST 1984

OSTI ID:5190034

Kulkarni, A D

The N-body problem in general relatively is of enormous difficulty, especially in the nonlinear regime, where radiation is important. It is now possible to study this problem by treating it as a Cauchy problem and by using large-scale computers to develop numerical models. With this motivation, the Cauchy formulation of Einstein equations is described. It consists of the Hamiltonian and momentum constraint equations, and the evolution equations. The constraints are analyzed using the conformal technique. The first step is this approach is to set up initial data compatible with the constraints. The N-body data, in general, will depend on the stress-energy tensor of the bodies. Hence this issue is bypassed by considering the matter free representation of particles in terms of the geometries of certain non-Euclidean manifolds. Problems such as the dynamics of a binary system of black holes are more interesting. They required data representing holes with nonzero momenta. Hence the extrinsic curvature of the initial hypersurface cannot be taken to be zero.

• Research Organization: Texas Univ., Austin (USA)
• OSTI ID: 5190034
• Country of Publication: United States
• Language: English

Related Subjects

640102* -- Astrophysics & Cosmology-- Stars & Quasi-Stellar
Radio & X-Ray Sources
657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BLACK HOLES
CAUCHY PROBLEM
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
MANY-BODY PROBLEM