Built on

E. I. Jury, M. Mansour, Positivity and nonnegativity conditions of a quartic equation and related problems, IEEE Transactions on Automatic Contorol. 26, No 2
1922
Earlier work this paper cites.
X. O. Camanho and J. D. Edelstein, Causality in AdS/CFT and Lovelock theory, JHEP 1006
Original
1944
Earlier work this paper cites.
C. Lanczos, A remarkable property of the Riemann-Christoffel tensor in four dimensions, Annals Math. 39
1971
Earlier work this paper cites.
M. J. Duff, Twenty years of the Weyl anomaly, Class. Quant. Grav. 11
1994
Earlier work this paper cites.
J. M. Maldacena, The large N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
M. Henningson and K. Skenderis, The holographic Weyl anomaly, JHEP 9807
1998
Earlier work this paper cites.
S. ’i. Nojiri and S. D. Odintsov, On the conformal anomaly from higher derivative gravity in AdS / CFT correspondence, Int. J. Mod. Phys. A 15
1999
Earlier work this paper cites.
D. G. Boulware and S. Deser, String generated gravity models, Phys. Rev. Lett. 55
2002
Earlier work this paper cites.
G. Policastro, D. T. Son and A. O. Starinets, From AdS/CFT correspondence to hydrodynamics, JHEP 0209
2002
Earlier work this paper cites.
P. Kovtun, D. T. Son and A. O. Starinets, Viscosity in strongly interacting quantum field theories from black hole physics, Phys. Rev. Lett. 94
2005
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT, Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
M. Brigante, H. Liu, R. C. Myers, S. Shenker and S. Yaida, The viscosity bound and causality violation, Phys. Rev. Lett. 100
Original
2008
Earlier work this paper cites.
A. Buchel, J. T. Liu and A. O. Starinets, Coupling constant dependence of the shear viscosity in N=4 supersymmetric Yang-Mills theory, Nucl. Phys. B 707
Original
2009
Earlier work this paper cites.

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2013

Quartic Quasi-topological Gravity, Black Holes and Holography

Dehghani, M. H., Vahidinia, M. H.

Understand

In this paper, we derive the field equations of quartic quasi-topological gravity by varying the action with respect to the metric.

Also, we obtain the linearized graviton equations in the AdS background and find that it is governed by a second-order field equation as in the cases of Einstein, Lovelock or cubic quasi-topological gravities.
But in contrast to the cubic quasi-topological gravity, the linearized field equation around a black hole has fourth-order radial derivative of the perturbation.
Moreover, we analyze the conditions of having ghost free AdS solutions and AdS planar black holes.

Built on

E. I. Jury, M. Mansour, Positivity and nonnegativity conditions of a quartic equation and related problems, IEEE Transactions on Automatic Contorol. 26, No 2
1922
Earlier work this paper cites.
X. O. Camanho and J. D. Edelstein, Causality in AdS/CFT and Lovelock theory, JHEP 1006
Original
1944
Earlier work this paper cites.
C. Lanczos, A remarkable property of the Riemann-Christoffel tensor in four dimensions, Annals Math. 39
1971
Earlier work this paper cites.
M. J. Duff, Twenty years of the Weyl anomaly, Class. Quant. Grav. 11
1994
Earlier work this paper cites.
J. M. Maldacena, The large N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
M. Henningson and K. Skenderis, The holographic Weyl anomaly, JHEP 9807
1998
Earlier work this paper cites.
S. ’i. Nojiri and S. D. Odintsov, On the conformal anomaly from higher derivative gravity in AdS / CFT correspondence, Int. J. Mod. Phys. A 15
1999
Earlier work this paper cites.
D. G. Boulware and S. Deser, String generated gravity models, Phys. Rev. Lett. 55
2002
Earlier work this paper cites.
G. Policastro, D. T. Son and A. O. Starinets, From AdS/CFT correspondence to hydrodynamics, JHEP 0209
2002
Earlier work this paper cites.
P. Kovtun, D. T. Son and A. O. Starinets, Viscosity in strongly interacting quantum field theories from black hole physics, Phys. Rev. Lett. 94
2005
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT, Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
M. Brigante, H. Liu, R. C. Myers, S. Shenker and S. Yaida, The viscosity bound and causality violation, Phys. Rev. Lett. 100
Original
2008
Earlier work this paper cites.
A. Buchel, J. T. Liu and A. O. Starinets, Coupling constant dependence of the shear viscosity in N=4 supersymmetric Yang-Mills theory, Nucl. Phys. B 707
Original
2009
Earlier work this paper cites.