Analytic Lifshitz black holes in higher dimensions
We generalize the four-dimensional R 2-corrected z = 3/2 Lifshitz black hole to a two-parameter family of black hole solutions for any dynamical exponent z and for any dimension D. For a particular relation between the parameters, we find the first example of an extremal Lifshitz black hole. An asym...
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2010
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
| Aporte de: | Registro referencial: Solicitar el recurso aquí |
| Sumario: | We generalize the four-dimensional R 2-corrected z = 3/2 Lifshitz black hole to a two-parameter family of black hole solutions for any dynamical exponent z and for any dimension D. For a particular relation between the parameters, we find the first example of an extremal Lifshitz black hole. An asymptotically Lifshitz black hole with a logarithmic decay is also exhibited for a specific critical exponent depending on the dimension. We extend this analysis to the more general quadratic curvature corrections for which we present three new families of higher-dimensional D ≥ 5 analytic Lifshitz black holes for generic z. One of these higher-dimensional families contains as critical limits the z = 3 three-dimensional Lifshitz black hole and a new z = 6 four-dimensional black hole. The variety of analytic solutions presented here encourages to explore these gravity models within the context of non-relativistic holographic correspondence. © SISSA 2010. |
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| Bibliografía: | Son, D.T., Toward an AdS/cold atoms correspondence: A geometric realization of the Schroedinger symmetry (2008) Phys. Rev., D 78, p. 046003. , [arXiv:0804.3972] [SPIRES] Balasubramanian, K., McGreevy, J., Gravity duals for non-relativistic CFTs (2008) Phys. Rev. Lett., 101, p. 061601. , [arXiv:0804.4053] [SPIRES] Kachru, S., Liu, X., Mulligan, M., Gravity duals of lifshitz-like fixed points (2008) Phys. Rev., D 78, p. 106005. , [arXiv:0808.1725] [SPIRES] Taylor, M., Non-relativistic holography, , arXiv: 0812.0530 [SPIRES] Mann, R.B., Lifshitz topological black holes (2009) JHEP, 6, p. 075. , [arXiv:0905.1136] [SPIRES] Bertoldi, G., Burrington, B.A., Peet, A., Black Holes in asymptotically Lifshitz spacetimes with arbitrary critical exponent (2009) Phys. Rev., D 80, p. 126003. , [arXiv:0905.3183] [SPIRES] Danielsson, U.H., Thorlacius, L., Black holes in asymptotically Lifshitz spacetime (2009) JHEP, 3, p. 070. , [arXiv:0812.5088] [SPIRES] Bertoldi, G., Burrington, B.A., Peet, A.W., Thermodynamics of black branes in asymptotically Lifshitz spacetimes (2009) Phys. Rev., D 80, p. 126004. , [arXiv:0907.4755] [SPIRES] Brynjolfsson, E.J., Danielsson, U.H., Thorlacius, L., Zingg, T., Holographic superconductors with lifshitz scaling (2010) J. Phys., A 43, p. 065401. , [arXiv:0908.2611] [SPIRES] Balasubramanian, K., McGreevy, J., An analytic Lifshitz black hole (2009) Phys. Rev., D 80, p. 104039. , [arXiv:0909.0263] [SPIRES] Pang, D.-W., On charged lifshitz black holes (2010) JHEP, 1, p. 116. , [arXiv:0911.2777] [SPIRES] Azeyanagi, T., Li, W., Takayanagi, T., On string theory duals of lifshitz-like fixed points (2009) JHEP, 6, p. 084. , [arXiv:0905.0688] [SPIRES] Li, W., Nishioka, T., Takayanagi, T., Some no-go theorems for string duals of non-relativistic lifshitz-like theories (2009) JHEP, 10, p. 015. , [arXiv:0908.0363] [SPIRES] Hartnoll, S.A., Polchinski, J., Silverstein, E., Tong, D., Towards Strange Metallic Holography, , arXiv: 0912.1061 [SPIRES] Ross, S.F., Saremi, O., Holographic stress tensor for non-relativistic theories (2009) JHEP, 9, p. 009. , [arXiv:0907.1846] [SPIRES] Sin, S.-J., Xu, S.-S., Zhou, Y., Holographic Superconductor for a Lifshitz fixed point, , arXiv: 0909.4857 [SPIRES] Myung, Y.S., Kim, Y.-W., Park, Y.-J., Dilaton Gravity Approach to Three Dimensional Lifshitz Black Hole, , arXiv: 0910.4428 [SPIRES] Pang, D.-W., Conductivity and diffusion constant in lifshitz backgrounds (2010) JHEP, 1, p. 120. , [arXiv:0912.2403] [SPIRES] Cheng, M.C.N., Hartnoll, S.A., Keeler, C.A., Deformations of lifshitz holography (2010) JHEP, 3, p. 062. , [arXiv:0912.2784] [SPIRES] Fadafan, K.B., Drag force in asymptotically lifshitz spacetimes, , arXiv: 0912.4873 [SPIRES] Ayon-Beato, E., Garbarz, A., Giribet, G., Hassaine, M., Lifshitz black hole in three dimensions (2009) Phys. Rev., D 80, p. 104029. , [arXiv:0909.1347] [SPIRES] Bergshoeff, E.A., Hohm, O., Townsend, P.K., Massive gravity in three dimensions (2009) Phys. Rev. Lett., 102, p. 201301. , [arXiv:0901.1766] [SPIRES] Adams, A., Maloney, A., Sinha, A., Vazquez, S.E., 1/N effects in non-relativistic gauge-gravity duality (2009) JHEP, 3, p. 097. , [arXiv:0812.0166] [SPIRES] Cai, R.-G., Liu, Y., Sun, Y.-W., A lifshitz black hole in four dimensional R 2 gravity (2009) JHEP, 10, p. 080. , [arXiv:0909.2807] [SPIRES] Maloney, A., Song, W., Strominger, A., Chiral gravity log gravity extremal CFT (2010) Phys. Rev., D 81, p. 064007. , [arXiv:0903.4573] [SPIRES] Hohm, O., Tonni, E., A Boundary Stress Tensor for Higher-Derivative Gravity in AdS and Lifshitz Backgrounds, , arXiv: 1001.3598 [SPIRES] |
| ISSN: | 11266708 |
| DOI: | 10.1007/JHEP04(2010)030 |