On 3D minimal massive gravity

Alishahiha, Mohsen; Qaemmaqami, Mohammad M.; Naseh, Ali; Shirzad, A.

doi:10.1007/jhep12(2014)033

Cited by 30 publications

(27 citation statements)

References 22 publications

(45 reference statements)

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“…[18]. In MMG, AdS-waves solutions were also studied recently [19], and here we review them because they are useful solutions to gain intuition about the theory. Let us start with the AdS 3 metric written in Poincaré coordinates; namely…”

Section: Pp-wave Solutions In Adsmentioning

confidence: 99%

Minimal log gravity

Giribet

Vásquez

2015

Phys. Rev. D

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Minimal Massive Gravity (MMG) is an extension of three-dimensional Topologically MassiveGravity that, when formulated about Anti-de Sitter space, accomplishes to solve the tension between bulk and boundary unitarity that other models in three dimensions suffer from. We study this theory at the chiral point, i.e. at the point of the parameter space where one of the central charges of the dual conformal field theory vanishes. We investigate the non-linear regime of the theory, meaning that we study exact solutions to the MMG field equations that are not Einstein manifolds. We exhibit a large class of solutions of this type, which behave asymptotically in different manners. In particular, we find analytic solutions that represent two-parameter deformations of extremal Bañados-Teitelboim-Zanelli (BTZ) black holes. These geometries behave asymptotically as solutions of the so-called Log Gravity, and, despite the weakened falling-off close to the boundary, they have finite mass and finite angular momentum, which we compute. We also find time-dependent deformations of BTZ that obey Brown-Henneaux asymptotic boundary conditions. The existence of such solutions shows that Birkhoff theorem does not hold in MMG at the chiral point. Other peculiar features of the theory at the chiral point, such as the degeneracy it exhibits in the decoupling limit, are discussed.

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Section: Pp-wave Solutions In Adsmentioning

confidence: 99%

Minimal log gravity

Giribet

Vásquez

2015

Phys. Rev. D

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“…Furthermore, a holographic renormalization study of NMG was conducted in [15], where in the context of AdS/CFT correspondence it was suggested that the dual CFT could be a logarithmic conformal field theory (LCFT). These properties of NMG motivate us to study its exact solutions, some of which can be found in [16][17][18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic stability of the stationary Lifshitz black hole of new massive gravity

2019

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In this paper we investigate the thermodynamic properties of the stationary Lifshitz black hole solution of New Massive Gravity. We study the thermodynamic stability from local and global point of view. We also consider the space of equilibrium states for the solution within the framework of Thermodynamic Information Geometry. By investigating the proper thermodynamic metrics and their curvature invariants we find a set of restrictions on the parameter space and the critical points indicating phase transitions of the system. We confirm our findings by analytical analysis of the geodesics on the space of equilibrium states.

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“…Also the conserved charges in generalized minimal massive gravity (GMMG) theory [28,59] have been obtained by Setare and Adami with the same method [60]. There were some studies of the properties of the linearized equation and holographic renormalization in MMG theory [61,62]. Nowadays there was a study about black hole entropy as the horizon Noether charge for diffeomorphism and local Lorentz symmetry [63].…”

Section: Introductionmentioning

confidence: 99%

Mass and angular momentum of black holes in 3D gravity theories with first order formalism

Nam

Park

2018

Eur. Phys. J. C

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We apply the Wald formalism to obtain masses and angular momenta of black holes in three dimensional gravity theories using the first order formalism. Wald formalism suggests that the entropy of a black hole can be defined by an integration of a conserved charge on the bifurcation horizon, and mass and angular momentum of a black hole as an integration of some charge variation form at spatial infinity. The action of three dimensional gravity theories can be represented by a form including some auxiliary fields. As well-known examples we have calculated masses and angular momenta of some black holes in topologically massive gravity and new massive gravity theories using the first order formalism. We have also calculated mass and angular momentum of BTZ black hole and new type black hole in minimal massive gravity theory with the action represented by the first order formalism. We have also calculated the entropy and central charges of new type black hole. According to Ad S/C FT correspondence we suggest that the left and right moving temperatures should be equal to the Hawking temperature in the case of new type black hole in minimal massive gravity.

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On 3D minimal massive gravity

Cited by 30 publications

References 22 publications

Minimal log gravity

Minimal log gravity

Thermodynamic stability of the stationary Lifshitz black hole of new massive gravity

Mass and angular momentum of black holes in 3D gravity theories with first order formalism

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