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Title: Rotating solutions in critical Lovelock gravities

For appropriate choices of the coupling constants, the equations of motion of Lovelock gravities up to order n in the Riemann tensor can be factorized such that the theories admits a single (A)dS vacuum. In this paper we construct two classes of exact rotating metrics in such critical Lovelock gravities of order n in d = 2n + 1 dimensions. In one class, the n angular momenta in the n orthogonal spatial 2-planes are equal, and hence the metric is of cohomogeneity one. We construct these metrics in a Kerr-Schild form, but they can then be recast in terms of Boyer-Lindquist coordinates. The other class involves metrics with only a single non-vanishing angular momentum. Again we construct them in a Kerr-Schild form, but in this case it does not seem to be possible to recast them in Boyer-Lindquist form. Furthermore, both classes of solutions have naked curvature singularities, arising because of the over rotation of the configurations.
Authors:
 [1] ;  [2] ;  [2] ;  [3]
  1. Beijing Normal Univ., Beijing (China); Univ. of Pennsylvania, Philadelphia, PA (United States); Univ. of Maribor, Maribor (Slovenia)
  2. Beijing Normal Univ., Beijing (China)
  3. Beijing Normal Univ., Beijing (China); Texas A & M Univ., College Station, TX (United States); Cambridge Univ., Cambridge (United Kingdom)
Publication Date:
Grant/Contract Number:
SC0013528; FG02-13ER42020
Type:
Published Article
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 765; Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Research Org:
Univ. of Pennsylvania, Philadelphia, PA (United States); Beijing Normal Univ., Beijing (China)
Sponsoring Org:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
OSTI Identifier:
1335202
Alternate Identifier(s):
OSTI ID: 1356086; OSTI ID: 1358389