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2011

Thermodynamical universality of the Lovelock black holes

Dadhich, Naresh, Pons, Josep M., Prabhu, Kartik

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The necessary and sufficient condition for the thermodynamical universality of the static spherically symmetric Lovelock black hole is that it is the pure Lovelock {\Lambda}-vacuum solution.

By universality we mean the thermodynamical parameters: temperature and entropy always bear the same relationship to the horizon radius irrespective of the Lovelock order and the spacetime dimension.
For instance, the entropy always goes in terms of the horizon radius as rh and r^2 respectively for h odd and even dimensions.
This universality uniquely identifies the pure Lovelock black hole with {\Lambda}.

Thermodynamical universality of the Lovelock black holes · Around

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N. Dadhich, Universality, gravity, the enigmatic Λ \Lambda and beyond , arXiv:gr-qc/0405115 ; Probing universality of gravity , arXiv:gr-qc/0407003 ; On the Gauss Bonnet Gravity , Mathematical Physics, (Proceedings of the 12th Regional Conference on Mathematical Physics), Eds., M.J. Islam, F. Hussain, A. Qadir, Riazuddin and Hamid Saleem, World Scientific, 331; ( arXiv:hep-th/0509126 ); On Lovelock vacuum solution , arXiv:1006.0337
Original
Cited in the paper.
N. Dadhich and J.M. Pons, “Consistent Levi Civita truncation uniquely characterizes the Lovelock Lagrangians.” arXiv:1012.1692
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Cited in the paper.
K. Prabhu, J. Pons and N. Dadhich, On some interesting properties of the Lovelock black holes , under preparation
Cited in the paper.

Then

N. Dadhich, Pramana 74
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2010
Later among the works it cites.
N. Dadhich, A. Molina and A. Khugaev, Phys. Rev D81
2010
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N. Dadhich, Pramana 77
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2011
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N. Dadhich, Math. Today 26
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2011
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