Minimal massive 3D gravity

Bergshoeff, Eric; Hohm, Olaf; Merbis, Wout; Routh, Alasdair J.; Townsend, Paul

doi:10.1088/0264-9381/31/14/145008

Cited by 136 publications

(400 citation statements)

References 40 publications

(83 reference statements)

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“…In order to circumvent this inconsistency there were some suggestions like the Boulware-Deser ghost [26], "Zwei Dreibein Gravity (ZDG)" as a viable alternative to NMG [27,28]. Recently the new "minimal massive gravity (MMG)" theory has been suggested to resolve this inconsistency and to represent an alternative to TMG [29]. The field equation of MMG theory is distinguished from the TMG's one, including the additional symmetric curvature-squared terms while preserving the single bulk graviton mode state.…”

Section: Introductionmentioning

confidence: 99%

“…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%

“…with some shifted parametersσ ,Λ 0 and a non-zero dimensionless parameter γ as a function of parameter α [29]. Since parameters σ and Λ 0 are no longer sign and cosmological constant respectively, they should be replaced byσ andΛ 0 .…”

Section: Introductionmentioning

confidence: 99%

“…The dot and cross represent the wedge product including the contraction of Lorentz vectors with η ab and abc respectively. In order to get the boundary central charges of new type black hole in MMG theory, we investigate the Poisson brackets of the primary constraint functions by using the Hamiltonian analysis [28,29]. Furthermore, we calculate the entropy of new type black hole using the charge variation form including the gravitational Chern-Simons term [58] with the first order formalism.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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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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“…Utilizing the recent observation [4,5] that the field equations of K-gravity split into two natural parts as K µν = J µν + H µν , whose explicit forms will be given below, where the H-tensor is the 3 dimensional version of the Bach tensor that vanishes for conformally flat (and conformally Einstein) geometries. On the other hand the J-tensor does not have any derivatives of the curvature and appeared as an interesting, bulk and boundary unitary deformation of topologically massive gravity (TMG) [6] to the minimal massive gravity (MMG) [7]. All the types of the black flower solution will appear as a conformally flat solution (H µν = 0), that also has vanishing J-tensor.…”

Section: Introductionmentioning

confidence: 99%

Asymptotically flat black holes in2+1dimensions

2016

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Asymptotically flat black holes in 2 + 1 dimensions are a rarity. We study the recently found black flower solutions (asymptotically flat black holes with deformed horizons), static black holes, rotating black holes and the dynamical black flowers (black holes with radiative gravitons ) of the purely quadratic version of new massive gravity. We show how they appear in this theory and we also show that they are also solutions to the infinite order extended version of the new massive gravity, that is the Born-Infeld extension of new massive gravity with an amputated Einsteinian piece. The same metrics also solve the topologically extended versions of these theories, with modified conserved charges and the thermodynamical quantities, such as the Wald entropy. Besides these we find new conformally flat radiating type solutions to these extended gravity models. We also show that these metrics do not arise in Einstein's gravity coupled to physical perfect fluids.

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The Variational Field Equations of Cosmological Topologically Massive Supergravity

Dereli

Yetişmişoğlu

2021

Fortschritte der Physik

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We discuss the formulation of cosmological topologically massive (simple) supergravity theory in three‐dimensional Riemann‐Cartan space‐times. We use the language of exterior differential forms and the properties of Majorana spinors on 3‐dimensional space‐times to explicitly demonstrate the local supersymmetry of the action density involved. Exact coupled field equations that are complete in both of their bosonic and fermionic sectors are derived by a first order variational principle subject to a torsion‐constraint imposed by the method of Lagrange multipliers. Cotton and Cottino 2‐forms that are complete to all orders in the gravitino field are derived and their properties such as trace are investigated.

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Minimal massive 3D gravity

Cited by 136 publications

References 40 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

Asymptotically flat black holes in2+1dimensions

The Variational Field Equations of Cosmological Topologically Massive Supergravity

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