BTZ black hole with Chern-Simons and higher derivative terms

By Bindusar Sahoo, Ashoke Sen. 2006

143 citations recorded by the source corpus.

The entropy of a BTZ black hole in the presence of gravitational Chern-Simons terms has previously been analyzed using Euclidean action formalism. In this paper we treat the BTZ solution as a two dimensional black hole by regarding the angular coordinate as a compact direction, and use Wald's Noether charge method to calculate the entropy of this black hole in the presence of higher derivative and gravitational Chern-Simons terms. The parameters labelling the black hole solution can be determined by extremizing an entropy function whose value at the extremum gives the entropy of the black hole.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a7f8a6d130697767561bb58ea0a816fbda0e9e11

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In Atomic and Molecular Physics, and Optics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Chiral gravity in three dimensions (2008, background): “In terms of these the macroscopic formula for the entropy, including a contribution from the Chern-Simons term, is [25] [26] [27].”
Black hole entropy function, attractors and precision counting of microstates (2007, methodology): “26), after dimensional reduction to two dimensions by integration over the y coordinate, takes the form [48,45]:”
Black hole entropy in the presence of Chern–Simons terms (2006, methodology): “The methods employed were diverse: it was done in [10, 11] via the consideration of the boundary Virasoro algebra, in [12] by dimensional reduction to two dimensions and application of Wald’s formula, in [14] using the description of three-dimensional gravity as the SO(2, 2) Chern–Simons theory, and”
Thermodynamics of black holes in two (and higher) dimensions (2007, methodology): “45) [61] whose entropy recently has been derived in [62] using Wald’s Noether charge technique [63].”
Black hole microstates and attractor without supersymmetry (2006, methodology): “term: √ −detGL(3) 1 = K Ω3 , (7.6) Ω3 being the Lorentz Chern-Simons 3-form and K is a constant. One can then show, both in the Euclidean action formalism [38, 37, 59] as well as using Wald’s formula [60, 53], that the entropy of the black hole with near horizon geometry described in (7.3) has the f”
Rotating Attractors (2006, background): “These examples include non-supersymmetric theories, actions with higher derivative corrections, extremal black holes in higher dimensions etc.[4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39].”