Membrane paradigm and horizon thermodynamics in Lanczos-Lovelock gravity

Journal of High Energy Physics

Volumn 2012, Issue 2, 2012, Pages

  Kolekar, Sanved ^a   Kothawala, Dawood ^b  

^a INTER UNIVERSITY CENTRE FOR ASTRONOMY AND ASTROPHYSICS   (India)

^b UNIVERSITY OF NEW BRUNSWICK   (Canada)

Author keywords

Black holes; Classical theories of gravity

Indexed keywords

EID: 84857863354     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP02(2012)006     Document Type: Article

References (29)

1. K.S. Thorne et al., Black holes: the membrane paradigm, Yale University Press, New Haven U.S.A. (1986).
2. T. Damour, Quelques propriétés mécaniques, électromagnétiques, thermodynamiques et quantiques des trous noirs (in French), Thèse de doctorat d'État, available at http://www.ihes.fr/~damour/Articles/, Université Paris 6, Paris France (1979).
3. T. Damour, Surface effects in black hole physics, in Proceedings of the Second Marcel Grossmann Meeting on General Relativity, R. Ruffini ed., North Holland, The Netherlands (1982), pg. 587.
4. T. Padmanabhan, Entropy density of spacetime and the Navier-Stokes fluid dynamics of null surfaces, Phys. Rev. D 83 (2011) 044048 [arXiv:1012.0119].
5. S. Kolekar and T. Padmanabhan, Action principle for the fluid-gravity correspondence and emergent gravity, Phys. Rev. D 85 (2012) 024004 [arXiv:1109.5353].
6. T. Padmanabhan, Thermodynamical aspects of gravity: new insights, Rept. Prog. Phys. 73 (2010) 046901 [arXiv:0911.5004].
7. T. Padmanabhan, Lessons from classical gravity about the quantum structure of spacetime, J. Phys. Conf. Ser. 306 (2011) 012001 [arXiv:1012.4476].
8. M. Parikh and F. Wilczek, An action for black hole membranes, Phys. Rev. D 58 (1998) 064011 [gr-qc/9712077].
9. T. Jacobson, A. Mohd and S. Sarkar, The membrane paradigm for Gauss-Bonnet gravity, arXiv:1107.1260.
10. J.P. Lemos and O.B. Zaslavskii, Membrane paradigm and entropy of black holes in the Euclidean action approach, Phys. Rev. D 84 (2011) 064017 [arXiv:1108.1801].
11. S. Kolekar, D. Kothawala and T. Padmanabhan, Two aspects of black hole entropy in Lanczos-Lovelock models of gravity, arXiv:1111.0973.
12. R.M. Wald, Black hole entropy is the Noether charge, Phys. Rev. D 48 (1993) 3427 [gr-qc/9307038].
13. V. Iyer and R.M. Wald, Some properties of Noether charge and a proposal for dynamical black hole entropy, Phys. Rev. D 50 (1994) 846 [gr-qc/9403028].
14. D. Kothawala and T. Padmanabhan, Thermodynamic structure of Lanczos-Lovelock field equations from near-horizon symmetries, Phys. Rev. D 79 (2009) 104020 [arXiv:0904.0215].
15. O. Mišković and R. Olea, Counterterms in dimensionally continued AdS gravity, JHEP 10 (2007) 028 [arXiv:0706.4460].
16. C. Teitelboim and J. Zanelli, Dimensionally continued topological gravitation theory in Hamiltonian form, Class. Quant. Grav. 4 (1987) L125.
17. C.W. Misner, K.S. Thorne and J.A. Wheeler, Gravitation, W.H. Freeman and Company, San Francisco U.S.A. (1973).
18. S.C. Davis, Generalized Israel junction conditions for a Gauss-Bonnet brane world, Phys. Rev. D 67 (2003) 024030 [hep-th/0208205].
19. N. Deruelle and C. Germani, Smooth branes and junction conditions in Einstein Gauss-Bonnet gravity, Nuovo Cim. B 118 (2003) 977 [gr-qc/0306116].
20. C. Barrabes and W. Israel, Lagrangian brane dynamics in general relativity and Einstein-Gauss-Bonnet gravity, Phys. Rev. D 71 (2005) 064008 [gr-qc/0502108].
21. F.-W. Shu, The quantum viscosity bound in Lovelock gravity, Phys. Lett. B 685 (2010) 325 [arXiv:0910.0607].
22. X.O. Camanho and J.D. Edelstein, Causality in AdS/CFT and Lovelock theory, JHEP 06 (2010) 099 [arXiv:0912.1944].
23. I. Bredberg, C. Keeler, V. Lysov and A. Strominger, Wilsonian approach to fluid/gravity duality, JHEP 03 (2011) 141 [arXiv:1006.1902].
24. P. Kovtun, D.T. Son and A.O. Starinets, Holography and hydrodynamics: diffusion on stretched horizons, JHEP 10 (2003) 064 [hep-th/0309213].
25. P. Kovtun, D. Son and A. Starinets, Viscosity in strongly interacting quantum field theories from black hole physics, Phys. Rev. Lett. 94 (2005) 111601 [hep-th/0405231].
26. M. Brigante, H. Liu, R.C. Myers, S. Shenker and S. Yaida, Viscosity bound violation in higher derivative gravity, Phys. Rev. D 77 (2008) 126006 [arXiv:0712.0805].
27. X.O. Camanho, J.D. Edelstein and M.F. Paulos, Lovelock theories, holography and the fate of the viscosity bound, JHEP 05 (2011) 127 [arXiv:1010.1682].
28. J. Oppenheim, Area scaling entropies for gravitating systems, Phys. Rev. D 65 (2002) 024020 [gr-qc/0105101].
29. F. Pretorius, D. Vollick and W. Israel, An operational approach to black hole entropy, Phys. Rev. D 57 (1998) 6311 [gr-qc/9712085].