Rotating solutions in critical Lovelock gravities

Journal Article · Wed Feb 01 00:00:00 EST 2017 · Physics Letters B

DOI:https://doi.org/10.1016/j.physletb.2016.12.018· OSTI ID:1335202

Cvetič, M.; Feng, Xing-Hui; Lü, H.; Pope, C. N.

For appropriate choices of the coupling constants, the equations of motion of Lovelock gravities up to order nin the Riemann tensor can be factorized such that the theories admita single (A)dS vacuum. In this paper we construct two classes of exact rotating metrics in such critical Lovelock gravities of order nin d =2n +1dimensions. In one class, the nangular momenta in the northogonal 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. Both classes of solutions have naked curvature singularities, arising because of the over rotation of the configurations

• Research Organization: Univ. of Pennsylvania, Philadelphia, PA (United States); Beijing Normal Univ., Beijing (China)
• Sponsoring Organization: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Nuclear Physics (NP)
• Grant/Contract Number: SC0013528; FG02-13ER42020
• OSTI ID: 1335202
• Alternate ID(s): OSTI ID: 1356086; OSTI ID: 1358389
• Journal Information: Physics Letters B, Journal Name: Physics Letters B Vol. 765 Journal Issue: C; ISSN 0370-2693
• Publisher: Elsevier
• Country of Publication: Netherlands
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS