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  Pure Lovelock Kasner metrics

Camanho, X. O., Dadhich, N., & Molina, A. (2015). Pure Lovelock Kasner metrics. Classical and quantum gravity, 32(17): 175016. doi:10.1088/0264-9381/32/17/175016.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0027-A879-B Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0028-9F0E-D
Genre: Journal Article

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 Creators:
Camanho, Xian O.1, Author              
Dadhich, Naresh, Author
Molina, Alfred, Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th,
 Abstract: We study pure Lovelock vacuum and perfect fluid equations for Kasner-type metrics. These equations correspond to a single $N$th order Lovelock term in the action in $d=2N+1,\,2N+2$ dimensions, and they capture the relevant gravitational dynamics when aproaching the big-bang singularity within the Lovelock family of theories. Pure Lovelock gravity also bears out the general feature that vacuum in the critical odd dimension, $d=2N+1$, is kinematic; i.e. we may define an analogue Lovelock-Riemann tensor that vanishes in vacuum for $d=2N+1$, yet the Riemann curvature is non-zero. We completely classify isotropic and vacuum Kasner metrics for this class of theories in several isotropy types. The different families can be characterized by means of certain higher order 4th rank tensors. We also analyze in detail the space of vacuum solutions for five and six dimensional pure Gauss-Bonnet theory. It possesses an interesting and illuminating geometric structure and symmetries that carry over to the general case. We also comment on a closely related family of exponential solutions and on the possibility of solutions with complex Kasner exponents. We show that the latter imply the existence of closed timelike curves in the geometry.

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 Dates: 2015-05-252015
 Publication Status: Published in print
 Pages: 22 pages, 6 figures
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1505.06675
DOI: 10.1088/0264-9381/32/17/175016
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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: 32 (17) Sequence Number: 175016 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/954925513480_1