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

Jan 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004cqgra..21..555d&link_type=abstract

Classical and Quantum Gravity, Volume 21, Issue 2, pp. 555-573 (2004).

Physics

17

Scientific paper

Trapped surfaces are studied as inner boundary for the Einstein vacuum constraint equations. The trapped surface condition can be written as a nonlinear boundary condition for these equations. Under appropriate assumptions, we prove the 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-hole collisions.

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