Black holes in (quartic) quasitopological gravity

M. H. Dehghani, A. Bazrafshan, R. B. Mann, M. R. Mehdizadeh, M. Ghanaatian, and M. H. Vahidinia
Phys. Rev. D 85, 104009 – Published 3 May 2012

Abstract

We construct quartic quasitopological gravity, a theory of gravity containing terms quartic in the curvature that yields second-order differential equations in the spherically symmetric case. Up to a term proportional to the quartic term in Lovelock gravity we find a unique solution for this quartic case, valid in any dimensionality larger than 4 except 8. This case is the highest degree of curvature coupling for which explicit black hole solutions can be constructed, and we obtain and analyze the various black hole solutions that emerge from the field equations in (n+1) dimensions. We discuss the thermodynamics of these black holes and compute their entropy as a function of the horizon radius. We then make some general remarks about K-th order quasitopological gravity, and point out that the basic structure of the solutions will be the same in any dimensionality for general K apart from particular cases.

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  • Received 3 January 2012

DOI:https://doi.org/10.1103/PhysRevD.85.104009

© 2012 American Physical Society

Authors & Affiliations

M. H. Dehghani1,2,*, A. Bazrafshan3,1, R. B. Mann4,†, M. R. Mehdizadeh1, M. Ghanaatian5, and M. H. Vahidinia1

  • 1Physics Department and Biruni Observatory, College of Sciences, Shiraz University, Shiraz 71454, Iran
  • 2Research Institute for Astrophysics and Astronomy of Maragha (RIAAM), Maragha, Iran
  • 3Department of Physics, Jahrom University, P.O. Box 74135-111, Jahrom, Iran
  • 4Department of Physics & Astronomy, University of Waterloo, 200 University Avenue West, Waterloo, Ontario, Canada, N2L 3G1
  • 5Department of Physics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran

  • *mhd@shirazu.ac.ir
  • rbmann@sciborg.uwaterloo.ca

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Issue

Vol. 85, Iss. 10 — 15 May 2012

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