Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1996-10-31
Phys.Rev.D56:4824-4833,1997
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
18 pages, ReVTeX. To appear in Physical Review D. Significant changes include more details in the derivations of certain key e
Scientific paper
10.1103/PhysRevD.56.4824
A careful analysis of the gravitational geon solution found by Brill and Hartle is made. The gravitational wave expansion they used is shown to be consistent and to result in a gauge invariant wave equation. It also results in a gauge invariant effective stress-energy tensor for the gravitational waves provided that a generalized definition of a gauge transformation is used. To leading order this gauge transformation is the same as the usual one for gravitational waves. It is shown that the geon solution is a self-consistent solution to Einstein's equations and that, to leading order, the equations describing the geometry of the gravitational geon are identical to those derived by Wheeler for the electromagnetic geon. An appendix provides an existence proof for geon solutions to these equations.
Anderson Paul R.
Brill Dieter R.
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