Holographic Lovelock gravities and black holes

By J. Boer, M. Kulaxizi, A. Parnachev. 2009

132 citations recorded by the source corpus.

We study holographic implications of Lovelock gravities in AdS spacetimes. For a generic Lovelock gravity in arbitrary spacetime dimensions we formulate the existence condition of asymptotically AdS black holes. We consider small fluctuations around these black holes and determine the constraint on Lovelock parameters by demanding causality of the boundary theory. For the case of cubic Lovelock gravity in seven spacetime dimensions we compute the holographic Weyl anomaly and determine the three point functions of the stress energy tensor in the boundary CFT. Remarkably, these correlators happen to satisfy the same relation as the one imposed by supersymmetry. We then compute the energy flux; requiring it to be positive is shown to be completely equivalent to requiring causality of the finite temperature CFT dual to the black hole. These constraints are not stringent enough to place any positive lower bound on the value of viscosity. Finally, we conjecture an expression for the energy flux valid for any Lovelock theory in arbitrary dimensions.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/2cafaa96300999c4600acc992cf417bc9b8a3958

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. R. Myers
2. V. Hubeny
3. M. Rangamani
4. J. Boer
5. M. Smolkin
6. Ling-Yan Hung
7. M. Kulaxizi
8. A. Parnachev

In Nuclear and High Energy Physics

1. R. Myers
2. V. Hubeny
3. M. Rangamani
4. M. Smolkin
5. J. Boer
6. Ling-Yan Hung
7. T. Takayanagi
8. M. Kulaxizi

In Statistical and Nonlinear Physics

1. R. Myers
2. Ling-Yan Hung
3. V. Hubeny
4. J. Boer
5. M. Smolkin
6. M. Rangamani
7. M. Kulaxizi
8. A. Parnachev

Citations in the corpus

• On holographic entanglement entropy and higher curvature gravity (2011, methodology): “These exact solutions then proved useful in discussions of holographic hydrodynamics and consistency of the boundary CFT [19, 24, 26, 27].”
• Smarr formula and an extended first law for Lovelock gravity (2010, background): “There has also been considerable recent interest in Lovelock gravities in the context of the AdS/CFT correspondence [17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], while stability of static Lovelock black holes under perturbations has been addressed in [28, 29, 30, 31, 32, 33].”
• Holographic entanglement entropy in Lovelock gravities (2011, background): “(Work which uses higher derivative gravitational theories to study unitarity constraints in CFTs includes [12-25].”
• Emergent spacetime and holographic CFTs (2011, unknown): “For such an analysis it might be important to also analyze the consistency of the theory at finite temperature, as was partially done in [107], [108], [109], [110].”
• A Holographic View on Physics out of Equilibrium (2010, background): “Recently, this bound has been shown to be violated in higher-derivative theories of gravity: there are example toy-models such as Gauss-Bonnet gravity [74, 75] and other higherderivative theories [76, 77, 78, 79, 80, 81] and also some string theory inspired constructions”
• Causality in AdS/CFT and Lovelock theory (2009, methodology): “raise further questions. Note added: We were aware of an upcoming article on holographic causality in black hole backgrounds of Lovelock’s theory by Jan de Boer, Manuela Kulaxizi and Andrei Parnachev [25]. Their article partially overlaps with some of our results. 2. Lovelock theory of gravity Lovel”