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We study the thermodynamics associated to topological black hole solutions of AdS gravity coupled to nonlinear electrodynamics (Born-Infeld) in any dimension, using a background-independent regularization prescription for the Euclidean action given by boundary terms which explicitly depend on the extrinsic curvature (Kounterterms series).
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Thermodynamics of asymptotically AdS spacetimes, where the regularization scheme is based on Dirichlet counterterms, was discussed in I. Papadimitriou and K. Skenderis, AdS/CFT correspondence and geometry . [arXiv: hep-th/0404176]; Thermodynamics of asymptotically locally AdS spacetimes , J. High Energy Phys. 08
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R. Aros, M. Contreras, R. Olea, R. Troncoso and J. Zanelli, Conserved charges for gravity with locally AdS asymptotics , Phys. Rev. Lett. 84
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R. Aros, M. Contreras, R. Olea, R. Troncoso and J. Zanelli, Conserved charges for even dimensional asymptotically AdS gravity theories , Phys. Rev. D 62
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S. de Haro, K. Skenderis and S. Solodukhin, Holographic reconstruction of space-time and renormalization in the AdS/CFT correspondence , Commun. Math. Phys. 217
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S. Fernando and D. Krug, Charged black hole solutions in Einstein-Born-Infeld gravity with a cosmological constant , Gen. Rel. Grav. 35
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T.K. Dey, Born-Infeld black holes in the presence of a cosmological constant , Phys. Lett. B 595
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R. Cai, D. Pang and A. Wang, Born-Infeld black holes in (A)dS spaces , Phys. Rev. D 70
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P. Mora, R. Olea, R. Troncoso and J. Zanelli, Finite action principle for Chern-Simons AdS gravity , J. High Energy Phys. 06
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2006
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G. Kofinas and R. Olea, Vacuum energy in Einstein-Gauss-Bonnet AdS gravity , Phys. Rev. D 74
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O. Mišković and R. Olea, On boundary conditions in three-dimensional AdS gravity , Phys. Lett. B 640
2006
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P. Mora, R. Olea, R. Troncoso and J. Zanelli, Transgression forms and extensions of Chern-Simons gauge theories , J. High Energy Phys. 02
2006
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X. Gao, Non-supersymmetric Attractors in Born-Infeld Black Holes with a Cosmological Constant , J. High Energy Phys. 11
2007
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R. Olea, Regularization of odd-dimensional AdS gravity: Kounterterms , J. High Energy Phys. 04
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G. Kofinas and R. Olea, Universal regularization prescription for Lovelock AdS gravity , J. High Energy Phys. 11
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2007
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