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Smooth non-zero rest-mass evolution across time-like infinity

Friedrich, H. (2015). Smooth non-zero rest-mass evolution across time-like infinity. Annales Henri Poincare, 16, 2215-2238. doi:10.1007/s00023-014-0368-7.

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Creators:
Friedrich, Helmut1, Author
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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
Abstract: It is shown that solutions to Einstein's field equations with positive cosmological constant can include non-zero rest-mass fields which coexist with and travel unimpeded across a smooth conformal boundary. This is exemplified by the coupled Einstein-massive-scalar field equations for which the mass $m$ is related to the cosmological constant $\lambda$ by the relation $3\,m^2 = 2\,\lambda$. Cauchy data for the conformal field equations can in this case be prescribed on the (compact, space-like) conformal boundary ${\cal J}^+$. Their developments backwards in time induce a set of standard Cauchy data on space-like slices for the Einstein-massive-scalar field equations which is open in the set of all Cauchy data for this system.

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Dates: 2013-11-042014-02-1920142015
Publication Status: Published in print
Pages: 24
Publishing info: -
Rev. Method: -
Identifiers: arXiv: 1311.0700
DOI: 10.1007/s00023-014-0368-7
Degree: -

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Title: Annales Henri Poincare
Source Genre: Journal
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Publ. Info: Basel : Birkhäuser
Pages: - Volume / Issue: 16 Sequence Number: - Start / End Page: 2215 - 2238 Identifier: ISSN: 1424-0637
CoNE: /journals/resource/954925494977_2