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Abstract:

We present an exact asymptotically Lifshitz black hole solution in Brans-Dicke theory of gravity in arbitrary n(≥ 3) dimensions in presence of a power-law potential. In this solution, the dynamical exponent z is determined in terms of the Brans-Dicke parameter ! and n. Asymptotic Lifshitz condition at infinity requires z > 1, which corresponds to ?(n ? 1)/(n ? 2) ≥ w ?n/(n ? 1). On the other hand, the no-ghost condition for the scalar field in the Einstein frame requires 0 < z ≤ 2(n ? 2)/(n ? 3). We compute the Hawking temperature of the black hole solution and discuss the problems encountered and the proposals in defining its thermodynamic properties. A generalized solution charged under the Maxwell field is also presented. © 2011 SISSA.

Registro:

Documento: Artículo
Título:Lifshitz black holes in Brans-Dicke theory
Autor:Maeda, H.; Giribet, G.
Filiación:Centro de Estudios Científicos (CECs, Casilla 1469, Valdivia, Chile
Instituto de Física de Buenos Aires, CONICET, Buenos Aires, Argentina
Palabras clave:AdS-CFT correspondence; Black holes; Classical theories of gravity
Año:2011
Volumen:2011
Número:11
DOI: http://dx.doi.org/10.1007/JHEP11(2011)015
Título revista:Journal of High Energy Physics
Título revista abreviado:J. High Energy Phys.
ISSN:11266708
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2011_n11_p_Maeda

Referencias:

  • Maldacena, J.M., The large-N limit of superconformal field theories and supergravity (1998) Adv. Theor. Math. Phys., 2, p. 231
  • (1999) Int. J. Theor. Phys., 38, p. 1133. , [hep-th/9711200]
  • Witten, E., Anti-de Sitter space and holography (1998) Adv. Theor. Math. Phys., 2, p. 253. , [hep-th/9802150]
  • Gubser, S., Klebanov, I.R., Polyakov, A.M., Gauge theory correlators from noncritical string theory (1998) Phys. Lett. B, 428, p. 105. , [hep-th/9802109]
  • Kachru, S., Liu, X., Mulligan, M., Gravity duals of Lifshitz-like fixed points (2008) Phys. Rev. D, 78, p. 106005. , [arXiv:0808.1725]
  • Balasubramanian, K., McGreevy, J., Gravity duals for non-relativistic CFTs (2008) Phys. Rev. Lett., 101, p. 061601. , [arXiv:0804.4053]
  • Balasubramanian, K., McGreevy, J., The particle number in galilean holography (2011) JHEP, 1, p. 137. , [arXiv:1007.2184]
  • Son, D., Toward an AdS/cold atoms correspondence: A geometric realization of the Schrödinger symmetry (2008) Phys. Rev. D, 78, p. 046003. , [arXiv:0804.3972]
  • Brynjolfsson, E., Danielsson, U., Thorlacius, L., Zingg, T., Holographic superconductors with Lifshitz scaling (2010) J. Phys. A A, 43, p. 065401. , [arXiv:0908.2611]
  • Danielsson, U.H., Thorlacius, L., Black holes in asymptotically Lifshitz spacetime (2009) JHEP, 3, p. 070. , [arXiv:0812.5088]
  • 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]
  • Azeyanagi, T., Li, W., Takayanagi, T., On string theory duals of Lifshitz-like fixed points (2009) JHEP, 6, p. 084. , [arXiv:0905.0688]
  • Balasubramanian, K., McGreevy, J., An analytic lifshitz black hole (2009) Phys. Rev. D, 80, p. 104039. , [arXiv:0909.0263]
  • Mann, R.B., Lifshitz topological black holes (2009) JHEP, 6, p. 075. , [arXiv:0905.1136]
  • 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]
  • Hohm, O., Tonni, E., A boundary stress tensor for higher-derivative gravity in AdS and Lifshitz backgrounds (2010) JHEP, 4, p. 093. , [arXiv:1001.3598]
  • Cai, R.-G., Liu, Y., Sun, Y.-W., A Lifshitz black hole in four dimensional R2 gravity (2009) JHEP, 10, p. 080. , [arXiv:0909.2807]
  • Ayon-Beato, E., Garbarz, A., Giribet, G., Hassaine, M., Analytic Lifshitz black holes in higher dimensions (2010) JHEP, 4, p. 030. , [arXiv:1001.2361]
  • Dehghani, M., Mann, R.B., Lovelock-Lifshitz black holes (2010) JHEP, 7, p. 019. , [arXiv:1004.4397]
  • Brenna, W., Dehghani, M., Mann, R., Quasi-topological lifshitz black holes (2011) Phys. Rev. D, 84, p. 024012. , [arXiv:1101.3476]
  • Taylor, M., Non-relativistic Holography, , arXiv: 0812.0530
  • Chemissany, W., Hartong, J., From D3-branes to Lifshitz space-times (2011) Class. Quant. Grav., 28, p. 195011. , [arXiv:1105.0612]
  • Donos, A., Gauntlett, J.P., Lifshitz solutions of D = 10 and D = 11 supergravity (2010) JHEP, 12, p. 002. , [arXiv:1008.2062]
  • Brynjolfsson, E., Danielsson, U., Thorlacius, L., Zingg, T., Holographic Models with Anisotropic Scaling, , arXiv:1004.5566
  • Dehghani, M., Mann, R., Pourhasan, R., Charged lifshitz black holes (2011) Phys. Rev. D, 84, p. 046002. , [arXiv:1102.0578]
  • Dehghani, M., Mann, R.B., Thermodynamics of Lovelock-Lifshitz black branes (2010) Phys. Rev. D, 82, p. 064019. , [arXiv:1006.3510]
  • Devecioglu, D.O., Sarioglu, O., On the thermodynamics of Lifshitz black holes (2011) Phys. Rev. D, 83, p. 124041. , [arXiv:1103.1993]
  • Bertoldi, G., Burrington, B.A., Peet, A.W., Zadeh, I.G., Lifshitz-like black brane thermodynamics in higher dimensions (2011) Phys. Rev. D, 83, p. 126006. , [arXiv:1101.1980]
  • Bertoldi, G., Burrington, B.A., Peet, A.W., Thermal behavior of charged dilatonic black branes in AdS and UV completions of Lifshitz-like geometries (2010) Phys. Rev. D, 82, p. 106013. , [arXiv:1007.1464]
  • 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]
  • Pang, D.W., On charged Lifshitz black holes (2010) JHEP, 1, p. 116. , [arXiv:0911.2777]
  • Copsey, K., Mann, R., Pathologies in asymptotically Lifshitz spacetimes (2011) JHEP, 3, p. 039. , [arXiv:1011.3502]
  • Brans, C., Dicke, R., Mach's principle and a relativistic theory of gravitation (1961) Phys. Rev., 124, p. 925
  • Will, C.M., (1993) Theory and Experiment in Gravitational Physics, , Cambridge, University Press Cambridge U.K
  • Faraoni, V., The Omega ? infinity limit of Brans Dicke theory (1998) Phys. Lett. A, 245, p. 26. , [gr-qc/9805057]
  • Faraoni, V., Illusions of general relativity in Brans-Dicke gravity (1999) Phys. Rev. D, 59, p. 084021. , [gr-qc/9902083]
  • Fujii, Y., Maeda, K.-I., (2003) The Scalar-tensor Theory of Gravitation, , Cambridge University Press, Cambridge U.K
  • Hawking, S., Black holes in the Brans-Dicke theory of gravitation (1972) Commun. Math. Phys., 25, p. 167
  • Dehghani, M., Pakravan, J., Hendi, S., Thermodynamics of charged rotating black branes in Brans-Dicke theory with quadratic scalar field potential (2006) Phys. Rev. D, 74, p. 104014. , [hep-th/0608197]
  • Campanelli, M., Lousto, C., Are black holes in Brans-Dicke theory precisely the same as a general relativity? (1993) Int. J. Mod. Phys. D, 2, p. 451. , [gr-qc/9301013]
  • Cai, R.-G., Myung, Y., Black holes in the Brans-Dicke-Maxwell theory (1997) Phys. Rev. D, 56, p. 3466
  • Kim, H., Thermodynamics of black holes in Brans-Dicke gravity (1997) Nuovo Cim. B, 112, p. 329. , [gr-qc/9706044]
  • Tamaki, T., Maeda, K.-I., Torii, T., NonAbelian black holes in Brans-Dicke theory (1998) Phys. Rev. D, 57, p. 4870. , [gr-qc/9709055]
  • Kim, H., New black hole solutions in Brans-Dicke theory of gravity (1999) Phys. Rev. D, 60, p. 024001. , [gr-qc/9811012]
  • Tamaki, T., Maeda, K.-I., Torii, T., Gravitating monopole and its black hole solution in Brans-Dicke theory (1999) Phys. Rev. D, 60, p. 104049. , [gr-qc/9906099]
  • Dias, O.J., Lemos, J.P., Static and rotating electrically charged black holes in three-dimensional Brans-Dicke gravity theories (2001) Phys. Rev. D, 64, p. 064001. , [hep-th/0105183]
  • Gao, C.J., Zhang, S.N., Black Holes in Brans-Dicke Theory with A Cosmological Constant, , gr-qc/0604083
  • Sheykhi, A., Yazdanpanah, M., Topological Brans-Dicke black holes in Anti-de Sitter universe (2009) Phys. Lett. B, 679, p. 311. , [arXiv:0904.1777]
  • Sheykhi, A., Alavirad, H., Topological black holes in Brans-Dicke-Maxwell theory (2009) Int. J. Mod. Phys. D, 18, p. 1773. , [arXiv:0809.0555]
  • Wald, R.M., (1984) General Relativity, , University of Chicago Press, Chicago U.S.A
  • Callan Jr., C.G., Martinec, E., Perry, M., Friedan, D., Strings in background fields (1985) Nucl. Phys. B, 262, p. 593
  • Fradkin, E., Tseytlin, A.A., Effective field theory from quantized strings (1985) Phys. Lett B, 158, p. 316
  • Fradkin, E., Tseytlin, A.A., Quantum string theory effective action (1985) Nucl. Phys. B, 261, p. 1
  • Lovelace, C., Stability of string vacua. 1. A new picture of the renormalization group (1986) Nucl. Phys. B, 273, p. 413
  • Sen, A., Equations of motion for the heterotic string theory from the conformal invariance of the φ-model (1985) Phys. Rev. Lett., 55, p. 1846
  • Ortaggio, M., Podolský, J., Zofka, M., Robinson-Trautman spacetimes with an electromagnetic field in higher dimensions (2008) Class. Quant. Grav., 25, p. 025006
  • Maeda, H., Hassaine, M., Martinez, C., Magnetic black holes with higher-order curvature and gauge corrections in even dimensions (2010) JHEP, 8, p. 123. , [arXiv:1006.3604]
  • Copsey, K., Mann, R., Pathologies in asymptotically Lifshitz spacetimes (2011) JHEP, 3, p. 039. , [arXiv:1011.3502]
  • Carroll, S.M., (2004) Spacetime and Geometry: An Introduction to General Relativity, , Addison-Wesley, San Francisco U.S.A
  • Bocharova, N., Bronnikov, K., Melnikov, V., (1970) Vestn. Mosk. Univ. Fiz. Astron., 6, p. 706
  • Bekenstein, J., Exact solutions of Einstein conformal scalar equations (1974) Annals Phys., 82, p. 535
  • Bekenstein, J., Black holes with scalar charge (1975) Annals Phys., 91, p. 75
  • Martinez, C., Troncoso, R., Zanelli, J., De Sitter black hole with a conformally coupled scalar field in four-dimensions (2003) Phys. Rev. D, 67, p. 024008. , [hep-th/0205319]
  • Martinez, C., Staforelli, J.P., Troncoso, R., Topological black holes dressed with a conformally coupled scalar field and electric charge (2006) Phys. Rev. D, 74, p. 044028. , [hep-th/0512022]
  • Charmousis, C., Kolyvaris, T., Papantonopoulos, E., Charged C-metric with conformally coupled scalar field (2009) Class. Quant. Grav., 26, p. 175012. , [arXiv:0906.5568]
  • Anabalon, A., Maeda, H., New charged black holes with conformal scalar hair (2010) Phys. Rev. D, 81, p. 041501. , [arXiv:0907.0219]
  • Wald, R.M., Black hole entropy is the Noether charge (1993) Phys. Rev. D, 48, p. 3427. , [gr-qc/9307038]
  • Iyer, V., Wald, R.M., Some properties of Noether charge and a proposal for dynamical black hole entropy (1994) Phys. Rev. D, 50, p. 846. , [gr-qc/9403028]
  • Brans, C., Mach's principle and a relativistic theory of gravitation. II (1962) Phys. Rev., 125, p. 2194
  • Bhadra, A., Sarkar, K., On static spherically symmetric solutions of the vacuum Brans-Dicke theory (2005) Gen. Rel. Grav., 37, p. 2189. , [gr-qc/0505141]
  • Fisher, I., Scalar mesostatic field with regard for gravitational effects (1948) Zh. Eksp. Teor. Fiz., 18, p. 636. , [gr-qc/9911008]
  • Janis, A.I., Newman, E.T., Winicour, J., Reality of the Schwarzschild singularity (1968) Phys. Rev. Lett., 20, p. 878
  • Wyman, M., Static spherically symmetric scalar fields in general relativity (1981) Phys. Rev. D, 24, p. 839
  • Agnese, A., La Camera, M., Gravitation without black holes (1985) Phys. Rev. D, 31, p. 1280
  • Roberts, M.D., Scalar field counterexamples to the cosmic censorship hypo thesis (1989) Gen. Rel. Grav., 21, p. 907
  • Abdolrahimi, S., Shoom, A.A., Analysis of the Fisher solution (2010) Phys. Rev. D, 81, p. 024035. , [arXiv:0911.5380]
  • Xanthopoulos, B., Zannias, T., Einstein gravity coupled to a massless scalar field in arbitrary space-time dimensions (1989) Phys. Rev. D, 40, p. 2564

Citas:

---------- APA ----------
Maeda, H. & Giribet, G. (2011) . Lifshitz black holes in Brans-Dicke theory. Journal of High Energy Physics, 2011(11).
http://dx.doi.org/10.1007/JHEP11(2011)015
---------- CHICAGO ----------
Maeda, H., Giribet, G. "Lifshitz black holes in Brans-Dicke theory" . Journal of High Energy Physics 2011, no. 11 (2011).
http://dx.doi.org/10.1007/JHEP11(2011)015
---------- MLA ----------
Maeda, H., Giribet, G. "Lifshitz black holes in Brans-Dicke theory" . Journal of High Energy Physics, vol. 2011, no. 11, 2011.
http://dx.doi.org/10.1007/JHEP11(2011)015
---------- VANCOUVER ----------
Maeda, H., Giribet, G. Lifshitz black holes in Brans-Dicke theory. J. High Energy Phys. 2011;2011(11).
http://dx.doi.org/10.1007/JHEP11(2011)015