Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noether Current, Black Hole Entropy and Spacetime Torsion   We show that the presence of spacetime torsion, unlike any other non-trivial
modifications of the Einstein gravity, does \emph{not} affect black hole
entropy. The theory being diffeomorphism invariant leads to a Noether current
and hence to a Noether charge, which can be associated to the heat content of
the spacetime. Furthermore, the evolution of the spacetime inheriting torsion
can be encoded in the difference between suitably defined surface and bulk
degrees of freedom. For static spacetimes the surface and bulk degrees of
freedom coincides, leading to holographic equipartition. In doing so one can
see that the surface degrees of freedom originate from horizon area and it is
clear that spacetime torsion never contributes to the surface degrees of
freedom and hence neither to the black hole entropy. We further show that the
gravitational Hamiltonian in presence of torsion does not inherit any torsion
dependence in the boundary term and hence the first law originating from the
variation of the Hamiltonian, relates entropy to area. This reconfirms our
claim that torsion does not modify the black hole entropy.

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The categories of this paper are: eess
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph