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 2planes are equal, and hence the metric is of cohomogeneity one. We construct these metrics in a KerrSchild form, but they can then be recast in terms of BoyerLindquist coordinates. The other class involves metrics with only a single nonvanishing angular momentum. Again we construct them in a KerrSchild form, but in this case it does not seem to be possible to recast them in BoyerLindquist form. Furthermore, both classes of solutions have naked curvature singularities, arising because of the over rotation of the configurations.
 Authors:

^{[1]};
^{[2]};
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^{[3]}
 Beijing Normal Univ., Beijing (China); Univ. of Pennsylvania, Philadelphia, PA (United States); Univ. of Maribor, Maribor (Slovenia)
 Beijing Normal Univ., Beijing (China)
 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; FG0213ER42020
 Type:
 Published Article
 Journal Name:
 Physics Letters. Section B
 Additional Journal Information:
 Journal Volume: 765; Journal Issue: C; Journal ID: ISSN 03702693
 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) (SC21); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC22); USDOE Office of Science (SC), Nuclear Physics (NP) (SC26)
 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
Cvetič, M., Feng, Xing Hui, Lü, H., and Pope, C. N.. Rotating solutions in critical Lovelock gravities. United States: N. p.,
Web. doi:10.1016/j.physletb.2016.12.018.
Cvetič, M., Feng, Xing Hui, Lü, H., & Pope, C. N.. Rotating solutions in critical Lovelock gravities. United States. doi:10.1016/j.physletb.2016.12.018.
Cvetič, M., Feng, Xing Hui, Lü, H., and Pope, C. N.. 2016.
"Rotating solutions in critical Lovelock gravities". United States.
doi:10.1016/j.physletb.2016.12.018.
@article{osti_1335202,
title = {Rotating solutions in critical Lovelock gravities},
author = {Cvetič, M. and Feng, Xing Hui and Lü, H. and Pope, C. N.},
abstractNote = {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 2planes are equal, and hence the metric is of cohomogeneity one. We construct these metrics in a KerrSchild form, but they can then be recast in terms of BoyerLindquist coordinates. The other class involves metrics with only a single nonvanishing angular momentum. Again we construct them in a KerrSchild form, but in this case it does not seem to be possible to recast them in BoyerLindquist form. Furthermore, both classes of solutions have naked curvature singularities, arising because of the over rotation of the configurations.},
doi = {10.1016/j.physletb.2016.12.018},
journal = {Physics Letters. Section B},
number = C,
volume = 765,
place = {United States},
year = {2016},
month = {12}
}