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  Global and uniqueness properties of stationary and static spacetimes with outer trapped surfaces

Mars, M., & Reiris, M. (2013). Global and uniqueness properties of stationary and static spacetimes with outer trapped surfaces. Communications in Mathematical Physics, 322(2), 633-666. doi:10.1007/s00220-013-1739-5.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0015-13AA-9 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0015-13B0-A
Genre: Journal Article

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 Creators:
Mars, Marc, Author
Reiris, Martin1, Author              
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,Mathematics, Differential Geometry, math.DG
 Abstract: Global properties of maximal future Cauchy developments of stationary, m-dimensional asymptotically flat initial data with an outer trapped boundary are analyzed. We prove that, whenever the matter model is well posed and satisfies the null energy condition, the future Cauchy development of the data is a black hole spacetime. More specifically, we show that the future Killing development of the exterior of a sufficiently large sphere in the initial data set can be isometrically embedded in the maximal Cauchy development of the data. In the static setting we prove, by working directly on the initial data set, that all Killing prehorizons are embedded whenever the initial data set has an outer trapped boundary and satisfies the null energy condition. By combining both results we prove a uniqueness theorem for static initial data sets with outer trapped boundary.

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 Dates: 2012-06-042013
 Publication Status: Published in print
 Pages: 38 pages, 2 figures, Latex
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1206.0607
DOI: 10.1007/s00220-013-1739-5
 Degree: -

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Title: Communications in Mathematical Physics
Source Genre: Journal
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Publ. Info: Heidelberg : Springer-Verlag Heidelberg
Pages: - Volume / Issue: 322 (2) Sequence Number: - Start / End Page: 633 - 666 Identifier: ISSN: 0010-3616
CoNE: /journals/resource/954925392313