Matter coupling in 3D ‘minimal massive gravity’

Arvanitakis, Alex S.; Routh, Alasdair J.; Townsend, Paul

doi:10.1088/0264-9381/31/23/235012

Cited by 39 publications

(107 citation statements)

References 24 publications

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“…The above two conditions are nothing but the "merger point" condition appearing (2.5) in [31]. By the elimination of Λ 0 these two conditions can be reduced to one condition…”

Section: New Type Black Hole In Mmgmentioning

confidence: 95%

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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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“…The above two conditions are nothing but the "merger point" condition appearing (2.5) in [31]. By the elimination of Λ 0 these two conditions can be reduced to one condition…”

Section: New Type Black Hole In Mmgmentioning

confidence: 95%

“…The action of the MMG theory include the torsion term coupled with an auxiliary field h which have the same odd-parity and dimension of mass with the spin connection ω, and another parity-even 'ehh' term considering h-squared term with a dimensionless parameter α. For more details see some references and therein [29][30][31][32][33].…”

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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“…This issue was addressed in Ref. [16], where the kind of matter content to which MMG can actually be coupled consistently was investigated. A second problem is related to the computation of conserved charges.…”

Section: Minimal Massive Gravitymentioning

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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“…Indeed form the definition ofμ one observes thatμ = 0 corresponds to γ = −2µ 2 l 2σ . On the other hand at this point the coefficients of the first and second terms in the equation (2.6) vanishe, yielding to 18) which is just the contribution from the Cotton tensor. In other words, for this special value of γ the theory of MMG, at the linearized level, has locally the same content as that of 3D conformal gravity.…”

Section: Jhep12(2014)033mentioning

confidence: 97%

On 3D minimal massive gravity

Alishahiha

Qaemmaqami

Naseh

et al. 2014

J. High Energ. Phys.

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Abstract:We study linearized equations of motion of the newly proposed three dimensional gravity, known as minimal massive gravity, using its metric formulation. By making use of a redefinition of the parameters of the model, we observe that the resulting linearized equations are exactly the same as that of TMG . In particular the model admits logarithmic modes at critical points. We also study several vacuum solutions of the model, specially at a certain limit where the contribution of Chern-Simons term vanishes.

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Matter coupling in 3D ‘minimal massive gravity’

Cited by 39 publications

References 24 publications

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

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

Minimal log gravity

On 3D minimal massive gravity

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