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Abstract:

We show that Zwei-Dreibein Gravity (ZDG), a bigravity theory recently proposed by Bergshoeff, de Haan, Hohm, Merbis, and Townsend in ref. [1], admits exact solutions with anisotropic scale invariance. These type of geometries are the three-dimensional analogues of the spacetimes which were proposed as gravity duals for condensed matter systems. In particular, we find Schrödinger invariant spaces as well as Lifshitz spaces with arbitrary dynamical exponent z. We also find black holes that are asymptotically Lifshitz with z = 3, showing that these (non-constant curvature) solutions of New Massive Gravity (NMG) are persistent after the introduction of the infinite tower of higher-curvature terms of ZDG, provided a renormalization of the parameters. Black holes in asymptotically warped Anti-de Sitter spaces are also found. Interestingly, in almost all the geometries studied in this work, the metric associated with the second dreibein turns out to be equivalent, up to a constant global factor, to the first one. This phenomenon has been previously observed in other bigravity theories in asymptotically flat and asymptotically Anti-de Sitter backgrounds. However, for the particular case of the z = 3 Lifshitz black hole, here we found that the second metric corresponds to a different black hole that coincides with the former only in the asymptotic region. In fact, we find a new family of z = 3 black holes that corresponds to a one-parameter deformation of the NMG solution. © 2014 The Author(s).

Registro:

Documento: Artículo
Título:Anisotropic scale invariant spacetimes and black holes in Zwei-Dreibein Gravity
Autor:Goya, A.F.
Filiación:Universidad de Buenos Aires FCEN-UBA, IFIBA-CONICET, Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina
Palabras clave:Black Holes; Classical Theories of Gravity; Holography and condensed matter physics (AdS/CMT)
Año:2014
Volumen:2014
Número:9
DOI: http://dx.doi.org/10.1007/JHEP09(2014)132
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_v2014_n9_p_Goya

Referencias:

  • Bergshoeff, E.A., De Haan, S., Hohm, O., Merbis, W., Townsend, P.K., Zwei-Dreibein Gravity: A two-frame-field model of 3D massive gravity (2013) Phys. Rev. Lett., 111, p. 111102. , 2013PhRvL.111k1102B [arXiv:1307.2774] [INSPIRE]
  • Hooft, G.T., Dimensional Reduction in Quantum Gravity, , gr-qc/9310026 [ INSPIRE ]
  • Susskind, L., The world as a hologram (1995) J. Math. Phys., 36, p. 6377. , 1355913 0850.00013 1995JMP.36.6377S [hep-th/9409089] [INSPIRE]
  • Maldacena, J.M., The large-N limit of superconformal field theories and supergravity (1999) Int. J. Theor. Phys., 38, p. 1113. , 1705508 0969.81047 [hep-th/9711200] [INSPIRE]
  • Witten, E., Anti-de Sitter space and holography (1998) Adv. Theor. Math. Phys., 2, p. 253. , 1633012 0914.53048 1998AdTMP.2.253W [hep-th/9802150] [INSPIRE]
  • Gubser, S.S., Klebanov, I.R., Polyakov, A.M., Gauge theory correlators from noncritical string theory (1998) Phys. Lett., 428, p. 105. , 1630766 1998PhLB.428.105G [hep-th/9802109] [INSPIRE]
  • Hartnoll, S.A., Herzog, C.P., Horowitz, G.T., Building a holographic superconductor (2008) Phys. Rev. Lett., 101, p. 031601. , 2008PhRvL.101c1601H [arXiv:0803.3295] [INSPIRE]
  • Hartnoll, S.A., Lectures on holographic methods for condensed matter physics (2009) Class. Quant. Grav., 26, p. 224002. , 2551709 2009CQGra.26v4002H [arXiv:0903.3246] [INSPIRE]
  • Son, D.T., Toward an AdS/cold atoms correspondence: A Geometric realization of the Schrödinger symmetry (2008) Phys. Rev., p. 046003. , 2491078 2008PhRvD.78d6003S [arXiv:0804.3972] [INSPIRE]
  • Balasubramanian, K., McGreevy, J., Gravity duals for non-relativistic CFTs (2008) Phys. Rev. Lett., 101, p. 061601. , 2439691 2008PhRvL.101f1601B [arXiv:0804.4053] [INSPIRE]
  • Kachru, S., Liu, X., Mulligan, M., Gravity duals of Lifshitz-like fixed points (2008) Phys. Rev., p. 106005. , 2487317 2008PhRvD.78j6005K [arXiv:0808.1725] [INSPIRE]
  • Bergshoeff, E.A., Hohm, O., Townsend, P.K., Massive gravity in three dimensions (2009) Phys. Rev. Lett., 102, p. 201301. , 2507853 2009PhRvL.102t1301B [arXiv:0901.1766] [INSPIRE]
  • Bergshoeff, E.A., Hohm, O., Townsend, P.K., More on massive 3D gravity (2009) Phys. Rev., p. 124042. , 2550662 2009PhRvD.79l4042B [arXiv:0905.1259] [INSPIRE]
  • Ayon-Beato, E., Giribet, G., Hassaine, M., Bending AdS waves with new massive gravity (2009) JHEP, 5, p. 029. , 2511413 2009JHEP.05.029A [arXiv:0904.0668] [INSPIRE]
  • Ayon-Beato, E., Garbarz, A., Giribet, G., Hassaine, M., Lifshitz black hole in three dimensions (2009) Phys. Rev., p. 104029. , 2659341 2009PhRvD.80j4029A [arXiv:0909.1347] [INSPIRE]
  • Detournay, S., Hartman, T., Hofman, D.M., Warped conformal field theory (2012) Phys. Rev., p. 124018. , 2012PhRvD.86l4018D [arXiv:1210.0539] [INSPIRE]
  • Clement, G., Warped AdS3black holes in new massive gravity (2009) Class. Quant. Grav., 26, p. 105015. , 2532052 2009CQGra.26j5015C [arXiv:0902.4634] [INSPIRE]
  • Bergshoeff, E.A., Goya, A.F., Merbis, W., Rosseel, J., Logarithmic AdS waves and Zwei-Dreibein Gravity (2014) JHEP, 4, p. 012. , 2014JHEP.04.012B [arXiv:1401.5386] [INSPIRE]
  • Gurarie, V., Logarithmic operators in conformal field theory (1993) Nucl. Phys., 410, p. 535. , 1256422 1993NuPhB.410.535G [hep-th/9303160] [INSPIRE]
  • Oliva, J., Tempo, D., Troncoso, R., Three-dimensional black holes, gravitational solitons, kinks and wormholes for BHT massive gravity (2009) JHEP, 7, p. 011. , 2009JHEP.07.011O [arXiv:0905.1545] [INSPIRE]
  • Giribet, G., Leston, M., Boundary stress tensor and counterterms for weakened AdS3asymptotic in new massive gravity (2010) JHEP, 9, p. 070. , 2776950 2010JHEP.09.070G [arXiv:1006.3349] [INSPIRE]
  • Giribet, G., Goya, A., Leston, M., Boundary stress tensor and asymptotically AdS3non-Einstein spaces at the chiral point (2011) Phys. Rev., p. 066003. , 2011PhRvD.84f6003G [arXiv:1108.0400] [INSPIRE]
  • Ayón-Beato, E., Hassaïne, M., Juárez-Aubry, M.M., Towards the uniqueness of Lifshitz black holes and solitons in New Massive Gravity (2014) Phys. Rev., p. 044026. , 2014PhRvD.90d4026A [ arXiv:1406.1588 ] [ INSPIRE ]
  • Gödel, K., An example of a new type of cosmological solutions of Einstein's field equations of gravitation (1949) Rev. Mod. Phys., 21, p. 447. , 0041.56701 1949RvMP.21.447G
  • Tonni, E., Warped black holes in 3D general massive gravity (2010) JHEP, 8, p. 070. , 2756059 2010JHEP.08.070T [arXiv:1006.3489] [INSPIRE]
  • Giribet, G., Goya, A., The Brown-York mass of black holes in warped Anti-de Sitter space (2013) JHEP, 3, p. 130. , 3046695 2013JHEP.03.130G [arXiv:1212.2100] [INSPIRE]
  • Deffayet, C., Mourad, J., Zahariade, G., Covariant constraints in ghost free massive gravity (2013) JCAP, 1, p. 032. , 3033252 2013JCAP.01.032D [arXiv:1207.6338] [INSPIRE]
  • Bañados, M., Deffayet, C., Pino, M., The Boulware-Deser mode in 3D first-order massive gravity (2013) Phys. Rev., p. 124016. , 2013PhRvD.88l4016B [arXiv:1310.3249] [INSPIRE]
  • Bergshoeff, E.A., Hohm, O., Merbis, W., Routh, P.K., Townsend, A.J., The Hamiltonian Form of Three-dimensional Chern-Simons-like Gravity Models, , arXiv:1402.1688 [ INSPIRE ]
  • Hassan, S.F., Schmidt-May, A., Von Strauss, M., Higher Derivative Gravity and Conformal Gravity from Bimetric and Partially Massless Bimetric Theory, , arXiv:1303.6940 [ INSPIRE ]
  • Hohm, O., Tonni, E., A boundary stress tensor for higher-derivative gravity in AdS and Lifshitz backgrounds (2010) JHEP, 4, p. 093. , 2673066 2010JHEP.04.093H [arXiv:1001.3598] [INSPIRE]
  • Bañados, M., Theisen, S., Three-dimensional massive gravity and the bigravity black hole (2009) JHEP, 11, p. 033. , 2009JHEP.11.033B [arXiv:0909.1163] [INSPIRE]
  • Isham, C.J., Salam, A., Strathdee, J.A., F-dominance of gravity (1971) Phys. Rev., 5003, p. 867. , 327245 1971PhRvD.3.867I [ INSPIRE ]
  • Isham, C.J., Storey, D., Exact spherically symmetric classical solutions for the F-G theory of gravity (1978) Phys. Rev., p. 1047. , 515255 1978PhRvD.18.1047I [ INSPIRE ]
  • Volkov, M.S., Hairy Black Holes in Theories with Massive Gravitons, , arXiv:1405.1742 [ INSPIRE ]
  • Hassan, S.F., Rosen, R.A., Bimetric Gravity from Ghost-free Massive Gravity (2012) JHEP, 2, p. 126. , 2996088 2012JHEP.02.126H [arXiv:1109.3515] [INSPIRE]
  • Bañados, M., Teitelboim, C., Zanelli, J., The black hole in three-dimensional space-time (1992) Phys. Rev. Lett., 69, p. 1849. , 1181663 0968.83514 1992PhRvL.69.1849B [hep-th/9204099] [INSPIRE]

Citas:

---------- APA ----------
(2014) . Anisotropic scale invariant spacetimes and black holes in Zwei-Dreibein Gravity. Journal of High Energy Physics, 2014(9).
http://dx.doi.org/10.1007/JHEP09(2014)132
---------- CHICAGO ----------
Goya, A.F. "Anisotropic scale invariant spacetimes and black holes in Zwei-Dreibein Gravity" . Journal of High Energy Physics 2014, no. 9 (2014).
http://dx.doi.org/10.1007/JHEP09(2014)132
---------- MLA ----------
Goya, A.F. "Anisotropic scale invariant spacetimes and black holes in Zwei-Dreibein Gravity" . Journal of High Energy Physics, vol. 2014, no. 9, 2014.
http://dx.doi.org/10.1007/JHEP09(2014)132
---------- VANCOUVER ----------
Goya, A.F. Anisotropic scale invariant spacetimes and black holes in Zwei-Dreibein Gravity. J. High Energy Phys. 2014;2014(9).
http://dx.doi.org/10.1007/JHEP09(2014)132