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  On the center of mass of asymptotically hyperbolic initial data sets

Cederbaum, C., Cortier, J., & Sakovich, A. (2015). On the center of mass of asymptotically hyperbolic initial data sets. Annales Henri Poincaré, 1-24. doi:10.1007/s00023-015-0438-5.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0024-A657-8 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-9A17-7
Genre: Journal Article

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 Creators:
Cederbaum, Carla, Author
Cortier, Julien1, Author              
Sakovich, Anna2, Author              
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              
2Geometric Measure Theory, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_1753352              

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Free keywords: Mathematics, Differential Geometry, math.DG,General Relativity and Quantum Cosmology, gr-qc,Mathematics, Analysis of PDEs, math.AP
 Abstract: We define the (total) center of mass for suitably asymptotically hyperbolic time-slices of asymptotically anti-de Sitter spacetimes in general relativity. We do so in analogy to the picture that has been consolidated for the (total) center of mass of suitably asymptotically Euclidean time-slices of asymptotically Minkowskian spacetimes (isolated systems). In particular, we unite -- an altered version of -- the approach based on Hamiltonian charges with an approach based on CMC-foliations near infinity. The newly defined center of mass transforms appropriately under changes of the asymptotic coordinates and evolves in the direction of an appropriately defined linear momentum under the Einstein evolution equations.

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 Dates: 2015-01-222015
 Publication Status: Published online
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 Identifiers: arXiv: 1501.05559
DOI: 10.1007/s00023-015-0438-5
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Title: Annales Henri Poincaré
Source Genre: Journal
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Publ. Info: Basel : Birkha.user
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 1 - 24 Identifier: ISSN: 1424-0637
CoNE: /journals/resource/954925494977