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Stationary Lifshitz black holes of R^2-corrected gravity theory · Around

2011

Stationary Lifshitz black holes of R^2-corrected gravity theory

Sarioglu, Ozgur

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In this short note, I present a generalization of a set of static D-dimensional (D >= 3) Lifshitz black holes, which are solutions of the gravitational model obtained by amending the cosmological Einstein theory with the addition of only the curvature-scalar-squared term and that are described by two parameters, to a more general class of exact, analytic solutions that involves an additional parameter which now renders them stationary.

In the special D=3 and the dynamical exponent z=1 case, the parameters can be adjusted so that the solution becomes identical to the celebrated BTZ black hole metric.

Built on

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D. O. Devecioglu, O. Sarioglu, “On the thermodynamics of Lifshitz black holes,” Phys. Rev. D83
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D. T. Son, “Toward an AdS/cold atoms correspondence: A Geometric realization of the Schrodinger symmetry,” Phys. Rev. D78
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K. Balasubramanian, J. McGreevy, “Gravity duals for non-relativistic CFTs,” Phys. Rev. Lett. 101
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A. Adams, K. Balasubramanian, J. McGreevy, “Hot Spacetimes for Cold Atoms,” JHEP 0811
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2008
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Then

R. -G. Cai, Y. Liu, Y. -W. Sun, “A Lifshitz Black Hole in Four Dimensional R**2 Gravity,” JHEP 0910
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2009
Later among the works it cites.
E. Ayon-Beato, A. Garbarz, G. Giribet, M. Hassaine, “Analytic Lifshitz black holes in higher dimensions,” JHEP 1004
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E. J. Brynjolfsson, U. H. Danielsson, L. Thorlacius, T. Zingg, “Holographic Superconductors with Lifshitz Scaling,” J. Phys. A A43
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D. O. Devecioglu, O. Sarioglu, “Conserved Killing charges of quadratic curvature gravity theories in arbitrary backgrounds,” Phys. Rev. D83

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2009

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2011

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