Does a cloud of strings affect shear viscosity bound? (English) Zbl 1478.83174
Summary: The Einstein AdS black brane with a cloud of strings background in context of massive gravity is introduced. There is a momentum dissipation on the boundary because of graviton mass on the bulk. The ratio of shear viscosity to entropy density is calculated for this solution. This value violates the KSS bound if we apply the Dirichlet boundary and regularity on the horizon conditions. Our result shows that this value is independent of the cloud of strings.
MSC:
| 83C57 | Black holes |
| 83E30 | String and superstring theories in gravitational theory |
| 83C65 | Methods of noncommutative geometry in general relativity |
| 76E20 | Stability and instability of geophysical and astrophysical flows |
| 76E05 | Parallel shear flows in hydrodynamic stability |
| 35D40 | Viscosity solutions to PDEs |
| 58J32 | Boundary value problems on manifolds |
References:
| [1] | Dvali G, Gabadadze G and Porrati M 2000 Phys. Lett. B 484 112 · doi:10.1016/S0370-2693(00)00631-6 |
| [2] | Dvali G, Gabadadze G and Porrati M 2000 Phys. Lett. B 485 208 · Zbl 0961.83045 · doi:10.1016/S0370-2693(00)00669-9 |
| [3] | de Rham C, Gabadadze G and Tolley A J 2011 Phys. Rev. Lett.106 231101 · doi:10.1103/PhysRevLett.106.231101 |
| [4] | Hassan S F and Rosen R A 2012 Confirmation of the secondary constraint, absence of Ghost in massive gravity and bimetric gravity J. High Energy Phys.JHEP04(2012) 123 · Zbl 1348.83065 · doi:10.1007/JHEP04(2012)123 |
| [5] | Gergely L A 2006 Brane-world cosmology with black strings Phys. Rev. D 74 024002 · doi:10.1103/PhysRevD.74.024002 |
| [6] | Brans C and Dicke R H 1961 Mach’s principle and a relativistic theory of gravitation Phys. Rev.124 925 · Zbl 0103.21402 · doi:10.1103/PhysRev.124.925 |
| [7] | Akbar M and Cai R G 2007 Thermodynamic behavior of field equations for f(R) gravity Phys. Lett. B 648 243 · Zbl 1248.83102 · doi:10.1016/j.physletb.2007.03.005 |
| [8] | Lovelock D 1971 The Einstein tensor and its generalizations J. Math. Phys.12 498 · Zbl 0213.48801 · doi:10.1063/1.1665613 |
| [9] | Vasiliev M A 1996 Int. J. Mod. Phys. D 5 763 · doi:10.1142/S0218271896000473 |
| [10] | Fierz M and Pauli W 1939 On relativistic wave equations for particles of arbitrary spin in an electromagnetic field Proc. R. Soc. A 173 211 · JFM 65.1532.01 · doi:10.1098/rspa.1939.0140 |
| [11] | Boulware D G and Deser S 1972 Phys. Rev. D 6 3368 · doi:10.1103/PhysRevD.6.3368 |
| [12] | Maldacena J M 1999 The Large N limit of superconformal field theories and supergravity Int. J. Theor. Phys.38 1113 · Zbl 0969.81047 · doi:10.1023/A:1026654312961 |
| [13] | Maldacena J M and Large N 1998 Adv. Theor. Math. Phys.2 231 · Zbl 0914.53047 · doi:10.4310/ATMP.1998.v2.n2.a1 |
| [14] | Aharony O, Gubser S S, Maldacena J M, Ooguri H and Oz Y 2000 Large N field theories, string theory and gravity Phys. Rep.323 183 · Zbl 1368.81009 · doi:10.1016/S0370-1573(99)00083-6 |
| [15] | Casalderrey-Solana J, Liu H, Mateos D, Rajagopal K and Wiedemann U A 2014 Gauge/String Duality, Hot QCD and Heavy Ion Collisions (Cambridge, UK: Cambridge University Press) · Zbl 1325.81004 · doi:10.1017/CBO9781139136747 |
| [16] | Mateos D 2007 String theory and quantum chromodynamics Class. Quantum Grav.24 S713 · Zbl 1128.81023 · doi:10.1088/0264-9381/24/21/S01 |
| [17] | Bhattacharyya S, Hubeny V E, Minwalla S and Rangamani M 2008 Nonlinear Fluid Dynamics from Gravity J. High Energy Phys.JHEP02(2008) 045 · doi:10.1088/1126-6708/2008/02/045 |
| [18] | Bhattacharya J, Bhattacharyya S, Minwalla S and Yarom A 2014 A Theory of first order dissipative superfluid dynamics J. High Energy Phys.JHEP05(2014) 147 · doi:10.1007/JHEP05(2014)147 |
| [19] | Kovtun P 2012 Lectures on hydrodynamic fluctuations in relativistic theories J. Phys. A: Math. Theor.45 473001 · Zbl 1348.83039 · doi:10.1088/1751-8113/45/47/473001 |
| [20] | Son D T and Starinets A O 2007 Viscosity, black holes and quantum field theory Ann. Rev. Nucl. Part. Sci.57 95 · doi:10.1146/annurev.nucl.57.090506.123120 |
| [21] | Policastro G, Son D T and Starinets A O 2001 The Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma Phys. Rev. Lett.87 081601 · doi:10.1103/PhysRevLett.87.081601 |
| [22] | Kovtun P, Son D T and Starinets A O 2005 Viscosity in strongly interacting quantum field theories from black hole physics Phys. Rev. Lett.94 111601 · doi:10.1103/PhysRevLett.94.111601 |
| [23] | Policastro G, Son D T and Starinets A O 2002 From AdS/CFT correspondence to hydrodynamics J. High Energy Phys.JHEP09(2002) 043 · doi:10.1088/1126-6708/2002/09/043 |
| [24] | Sadeghi M 2019 Transverse shear viscosity to entropy density for the general anisotropic black brane in Horava-Lifshitz gravity Indian J. Phys. (https://doi.org/10.1007/s12648-019-01523-6) |
| [25] | Nojiri S and Odintsov S D 2011 Non-singular modified gravity unifying inflation with late-time acceleration and universality of viscous ratio bound in f(R) theory Prog. Theor. Phys. Suppl.190 155 · doi:10.1143/PTPS.190.155 |
| [26] | Kovtun P, Son D T and Starinets A O 2003 Holography and hydrodynamics: diffusion on stretched horizons J. High Energy Phys.JHEP10(2003) 064 · doi:10.1088/1126-6708/2003/10/064 |
| [27] | Letelier P S 1979 Clouds Of strings in general relativity Phys. Rev. D 20 1294 · doi:10.1103/PhysRevD.20.1294 |
| [28] | Richarte M G and Simeone C 2008 Traversable wormholes in a string cloud Int. J. Mod. Phys. D 17 1179 · Zbl 1158.83321 · doi:10.1142/S0218271808012759 |
| [29] | Yadav A K, Yadav V K and Yadav L 2009 Cylindrically symmetric inhomogeneous universes with a cloud of strings Int. J. Theor. Phys.48 568 · Zbl 1162.83363 · doi:10.1007/s10773-008-9832-9 |
| [30] | Ganguly A, Ghosh S G and Maharaj S D 2014 Accretion onto a black hole in a string cloud background Phys. Rev. D 90 064037 · doi:10.1103/PhysRevD.90.064037 |
| [31] | Bronnikov K A, Kim S W and Skvortsova M V 2016 The Birkhohff theorem and string clouds Class. Quantum Grav.33 195006 · Zbl 1349.83015 · doi:10.1088/0264-9381/33/19/195006 |
| [32] | Barbosa D and Bezerra V B 2016 On the rotating Letelier spacetime Gen. Rel. Grav.48 149 · Zbl 1380.83039 · doi:10.1007/s10714-016-2143-1 |
| [33] | Herscovich E and Richarte M G 2010 Black holes in Einstein-Gauss-Bonnet gravity with a string cloud background Phys. Lett. B 689 192 · doi:10.1016/j.physletb.2010.04.065 |
| [34] | Ghosh S G, Papnoi U and Maharaj S D 2014 Cloud of strings in third order Lovelock gravity Phys. Rev. D 90 044068 · doi:10.1103/PhysRevD.90.044068 |
| [35] | Lee T H, Baboolal D and Ghosh S G 2015 Lovelock black holes in a string cloud background Eur. Phys. J. C 75 297 · doi:10.1140/epjc/s10052-015-3515-5 |
| [36] | Mazharimousavi S H and Halilsoy M 2016 Cloud of strings as source in 2 + 1-dimensional f(R)=Rn gravity Eur. Phys. J. C 76 95 · doi:10.1140/epjc/s10052-016-3954-7 |
| [37] | Morais Graa J P, Salako G I and Bezerra V B 2017 Quasinormal modes of a black hole with a cloud of strings in Einstein-Gauss-Bonnet gravity Int. J. Mod. Phys. D 26 1750113 · Zbl 1372.83038 · doi:10.1142/S0218271817501139 |
| [38] | Cai R G, Hu Y P, Pan Q Y and Zhang Y L 2015 Thermodynamics of Black Holes in Massive Gravity Phys. Rev. D 91 024032 · doi:10.1103/PhysRevD.91.024032 |
| [39] | Hartnoll S A, Ramirez D M and Santos J E 2016 Entropy production, viscosity bounds and bumpy black holes J. High Energy Phys.JHEP03(2016) 170 · Zbl 1388.83457 · doi:10.1007/JHEP03(2016)170 |
| [40] | Alberte L, Baggioli M and Pujolas O 2016 Viscosity bound violation in holographic solids and the viscoelastic response J. High Energy Phys.JHEP07(2016) 074 · Zbl 1390.83150 · doi:10.1007/JHEP07(2016)074 |
| [41] | Alberte L, Baggioli M, Khmelnitsky A and Pujolas O 2016 Solid Holography and Massive Gravity J. High Energy Phys.JHEP02(2016) 114 · Zbl 1388.83559 · doi:10.1007/JHEP02(2016)114 |
| [42] | Baggioli M and Grieninger S 2019 Zoology of solid and fluid holography : goldstone modes and phase relaxation (arXiv:1905.09488 [hep-th]) |
| [43] | Baggioli M and Buchel A 2019 Holographic viscoelastic hydrodynamics J. High Energy Phys.JHEP03(2019) 146 · Zbl 1414.81254 · doi:10.1007/JHEP03(2019)146 |
| [44] | Brigante M, Liu H, Myers R C, Shenker S and Yaida S 2008 Viscosity bound violation in higher derivative gravity Phys. Rev. D 77 126006 · doi:10.1103/PhysRevD.77.126006 |
| [45] | Brigante M, Liu H, Myers R C, Shenker S and Yaida S 2008 The Viscosity bound and causality violation Phys. Rev. Lett.100 191601 · doi:10.1103/PhysRevLett.100.191601 |
| [46] | Neupane I P and Dadhich N 2009 Entropy bound and causality violation in higher curvature gravity Class. Quantum Grav.26 015013 · Zbl 1157.83348 · doi:10.1088/0264-9381/26/1/015013 |
| [47] | Sadeghi M and Parvizi S 2016 Hydrodynamics of a black brane in Gauss-Bonnet massive gravity Class. Quantum Grav.33 035005 · Zbl 1332.83095 · doi:10.1088/0264-9381/33/3/035005 |
| [48] | Parvizi S and Sadeghi M 2019 Holographic aspects of a higher curvature massive gravity Eur. Phys. J. C 79 113 · doi:10.1140/epjc/s10052-019-6631-9 |
| [49] | Sadeghi M 2018 Black brane solution in rastall AdS massive gravity and viscosity bound Mod. Phys. Lett. A 33 1850220 · Zbl 1404.83095 · doi:10.1142/S0217732318502206 |
| [50] | Sadeghi M 2018 Einstein-Yang-Mills AdS black brane solution in massive gravity and viscosity bound Eur. Phys. J. C 78 875 · doi:10.1140/epjc/s10052-018-6360-5 |
| [51] | Wu B and Zou D C 2018 Viscosity/entropy ratio in the context of dRGT massive gravity Europhys. Lett.124 20002 · doi:10.1209/0295-5075/124/20002 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
