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  Trapped surfaces as boundaries for the constraint equations

Dain, S. (2004). Trapped surfaces as boundaries for the constraint equations. Classical and Quantum Gravity, 21, 555-574.

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51077.pdf (Preprint), 353KB
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Dain, Sergio1, Author
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 Abstract: 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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Language(s): eng - English
 Dates: 2004
 Publication Status: Issued
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 Identifiers: eDoc: 51077
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Title: Classical and Quantum Gravity
Source Genre: Journal
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Pages: - Volume / Issue: 21 Sequence Number: - Start / End Page: 555 - 574 Identifier: -