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  The lightcone of Gödel-like spacetimes

Dautcourt, G. (2010). The lightcone of Gödel-like spacetimes. Classical and quantum gravity, 27(22): 225024. doi:10.1088/0264-9381/27/22/225024.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-C96A-2 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-C96E-9
Genre: Journal Article

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1009.5231 (Preprint), 266KB
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 Creators:
Dautcourt, G.1, Author              
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24012              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: A study of the lightcone of the Gödel universe is extended to the so-called G\"odel-like spacetimes. This family of highly symmetric 4-D Lorentzian spaces is defined by metrics of the form $ds^2=-(dt+H(x)dy)^2+D^2(x)dy^2+dx^2+dz^2$, together with the requirement of spacetime homogeneity, and includes the G\"odel metric. The quasi-periodic refocussing of cone generators with startling lens properties, discovered by Ozsv\'{a}th and Sch\"ucking for the lightcone of a plane gravitational wave and also found in the G\"odel universe, is a feature of the whole G\"odel family. We discuss geometrical properties of caustics and show that (a) the focal surfaces are two-dimensional null surfaces generated by non-geodesic null curves and (b) intrinsic differential invariants of the cone attain finite values at caustic subsets.

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 Dates: 2010-09-272010
 Publication Status: Published in print
 Pages: 19 pages, 1 figure
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1009.5231
URI: http://arxiv.org/abs/1009.5231
DOI: 10.1088/0264-9381/27/22/225024
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Title: Classical and quantum gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 27 (22) Sequence Number: 225024 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: /journals/resource/954925513480_1