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  Rigid upper bounds for the angular momentum and centre of mass

Chrusciel, P. T., Maerten, D., & Tod, P. (2006). Rigid upper bounds for the angular momentum and centre of mass. Journal of High Energy Physics, 2006(11): 084.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4C41-A Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4C43-6
Genre: Journal Article

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 Creators:
Chrusciel, Piotr T.1, Author
Maerten, Daniel, Author
Tod, Paul, 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: We prove upper bounds on angular momentum and centre of mass in terms of the Hamiltonian mass and cosmological constant for non-singular asymptotically anti-de Sitter initial data sets satisfying the dominant energy condition. We work in all space-dimensions larger than or equal to three, and allow a large class of asymptotic backgrounds, with spherical and non-spherical conformal infinities; in the latter case, a spin-structure compatibility condition is imposed. We give a large class of non-trivial examples saturating the inequality. We analyse exhaustively the borderline case in space-time dimension four: for spherical cross-sections of Scri, equality together with completeness occurs only in anti-de Sitter space-time. On the other hand, in the toroidal case, regular non-trivial initial data sets saturating the bound exist.

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 Dates: 2006
 Publication Status: Published in print
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 Identifiers: eDoc: 275778
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Title: Journal of High Energy Physics
Source Genre: Journal
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Pages: - Volume / Issue: 2006 (11) Sequence Number: 084 Start / End Page: - Identifier: -