Quasistationary binary inspiral. I. Einstein equations for the two Killing vector spacetime

Details Quasistationary binary inspiral. I. Einstein equations for the two Killing vector spacetime Quasistationary binary inspiral. I. Einstein equations for the two Killing vector spacetime

1998-12-12

arxiv.org/abs/gr-qc/9812041v3

Phys.Rev. D60 (1999) 084009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

37 pages, REVTeX, one PostScript Figure included with epsfig; minor formatting changes and copyright notice added for journal

Scientific paper

10.1103/PhysRevD.60.084009

The geometry of two infinitely long lines of mass moving in a fixed circular orbit is considered as a toy model for the inspiral of a binary system of compact objects due to gravitational radiation. The two Killing fields in the toy model are used, according to a formalism introduced by Geroch, to describe the geometry entirely in terms of a set of tensor fields on the two-manifold of Killing vector orbits. Geroch's derivation of the Einstein equations in this formalism is streamlined and generalized. The explicit Einstein equations for the toy model spacetime are derived in terms of the degrees of freedom which remain after a particular choice of gauge.

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