Trapped surfaces as boundaries for the constraint equations

Details Trapped surfaces as boundaries for the constraint equations Trapped surfaces as boundaries for the constraint equations

2003-08-04

arxiv.org/abs/gr-qc/0308009v2

Class.Quant.Grav. 21 (2004) 555-574; Class.Quant.Grav. 22 (2005) 769-770

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

26 pages, 2 figures references updated, minor corrections

Scientific paper

10.1088/0264-9381/22/4/C01

Trapped surfaces are studied as inner boundary for the Einstein vacuum constraint equations. The trapped surface condition can be written as a non linear boundary condition for these equations. Under appropriate assumptions, we prove existence and uniqueness of solutions in the exterior region for this boundary value problem. We also discuss the relevance of this result for the study of black holes collisions.

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