Black holes in quasi-topological gravity
By R. Myers, Brandon Robinson. 2010
299 citations recorded by the source corpus.
We construct a new gravitational action which includes cubic curvature interactions and which provides a useful toy model for the holographic study of a three parameter family of four- and higher-dimensional CFT’s. We also investigate the black hole solutions of this new gravity theory. Further we examine the equations of motion of quasi-topological gravity. While the full equations in a general background are fourth-order in derivatives, we show that the linearized equations describing gravitons propagating in the AdS vacua match precisely the second-order equations of Einstein gravity.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/83d47b868c128778684fd00f96dd23725ff7c33b
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Citations in the corpus
- Black hole chemistry: thermodynamics with Lambda (2016, background): “Black hole solutions in quasi-topological gravity [178, 179] can also exhibit isolated critical points [172], with the conditions and results holding for this class of black holes as well.”
- On holographic entanglement entropy and higher curvature gravity (2011, background): “In fact, there is at most one root which yields a ghost-free AdS vacuum which supports black hole solutions, as described in detail in [30].”
- Holographic calculations of Rényi entropy (2011, methodology): “An overview of the remainder of the paper is as follows: We begin by explicitly calculating the holographic Rényi entropy as described above for three bulk theories: Einstein gravity, Gauss-Bonnet gravity [18] and quasi-topological gravity [19, 20] in sections 2.”
- Towards a derivation of holographic entanglement entropy (2011, background): “Alternatively, our results would also be applicable to a situation where higher curvature contributions are finite, as in the recent studies of the AdS/CFT correspondence [32] with Lovelock [33] or quasi-topological [34] gravity.”
- Comments on holographic entanglement entropy and RG flows (2012, background): “ the limit !0, we recover f 1= 2 i and L~2 = L2= i , as discussed above for Einstein gravity. One would nd that graviton uctuations about the AdS solution corresponding to the second root are ghosts [35, 36] and hence the boundary CFT would not be unitary. The theory (2.9) is further constrained by ”
- Multiple reentrant phase transitions and triple points in Lovelock thermodynamics (2014, background): “This bound applies to both κ = ±1 cases, and is the same bound that for ensuring that transverse-traceless excitations of the metric about an AdS vacuum are not ghostlike [72], and forms a critical threshold beyond which the qualitative behaviour of the masses and angular momenta of boson stars chan”
- Holographic studies of quasi-topological gravity (2010, methodology): “As discussed in [25], in general, the equations of motion for quasi-topological gravity involve higher derivatives.”
- On the new massive gravity and AdS/CFT (2010, methodology): “In [15] a six derivative theory was constructed in D ≥ 5, where the equations of motion with only radial dependence was shown to be second order.”
- Holographic GB gravity in arbitrary dimensions (2009, background): “44) precisely matches the condition that ensures that the graviton is not a ghost [22].”
- Holographic c-theorems in arbitrary dimensions (2010, methodology): “In constructing Z̃, we began with all possible six-derivative interactions and eliminated terms which are redundant because of index symmetries or the Bianchi identities or which are total derivatives [15].”
- Holographic Quantum Critical Transport without Self-Duality (2010, background): “The analysis and physical interpretation of the modes in this case are more elaborate along the lines of that given in [25].”