Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-11-13
Phys.Rev.D77:024049,2008
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
9 pages, 4 figures
Scientific paper
10.1103/PhysRevD.77.024049
We solve Einstein's constraint equations in the conformal thin-sandwich decomposition to model thin shells of non-interacting particles in circular orbit about a non-rotating black hole. We use these simple models to explore the effects of some of the freely specifiable quantities in this decomposition on the physical content of the solutions. Specifically, we adopt either maximal slicing or Kerr-Schild slicing, and make different choices for the value of the lapse on the black hole horizon. For one particular choice of these quantities the resulting equations can be solved analytically; for all others we construct numerical solutions. We find that these different choices have no effect on our solutions when they are expressed in terms of gauge-invariant quantities.
Baumgarte Thomas W.
Gourgoulhon Eric
Matera Keith
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