A new cubic theory of gravity in five dimensions: black hole, Birkhoff's theorem and C-function
By Julio Oliva, Sourya Ray. 2010
263 citations recorded by the source corpus.
We present a new cubic theory of gravity in five dimensions which has second-order traced field equations, analogous to BHT new massive gravity in three dimensions. Moreover, for static spherically symmetric spacetimes all the field equations are of second order, and the theory admits a new asymptotically locally flat black hole. Furthermore, we prove the uniqueness of this solution, study its thermodynamical properties and show the existence of a C-function for the theory following the arguments of Anber and Kastor (2008 J. High Energy Phys. JHEP05(2008)061 (arXiv:0802.1290 [hep-th])) in pure Lovelock theories. Finally, we include the Einstein–Gauss–Bonnet and cosmological terms and find new asymptotically AdS black holes at the point where the three maximally symmetric solutions of the theory coincide. These black holes may also possess a Cauchy horizon.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/71e5fd27bdf5136bd8da5c689c4ec8fec0006b1e
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Citations in the corpus
- Holographic calculations of Rényi entropy (2011, background): “26) appearing in GB gravity and Z5 is a new third-order interaction originally constructed in [19, 39]:”
- Black hole chemistry: thermodynamics with Lambda (2016, background): “Black hole solutions in quasi-topological gravity [177, 178] can also exhibit isolated critical points [171], with the conditions and results holding for this class of black holes as well.”
- Black holes in quasi-topological gravity (2010, background): “[12, 13] are also able to relate our interactions in D ≥ 7 to Weyl-invariant combinations of curvatures”