Chern–Simons-Like Gravity Theories

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

doi:10.1007/978-3-319-10070-8_7

Cited by 52 publications

(133 citation statements)

References 22 publications

Supporting

Mentioning

132

Contrasting

Order By: Relevance

“…It is closely related to a problem that the asymptotic Ad S 3 black hole solution have negative mass value whenever the bulk graviton modes have posi-tive energy, so-called "bulk vs. boundary clash". 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].…”

Section: Introductionmentioning

confidence: 99%

“…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. In the action level this MMG theory can be represented by a "Chern-Simons-like formulation" [28]. 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.…”

Section: Introductionmentioning

confidence: 99%

“…The entropy of BTZ black hole in MMG theory have been obtained by Setare and Adami [57] with the first order formalism according to Tachikawa's method [58]. 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].…”

Section: Introductionmentioning

confidence: 99%

“…to get a set of equivalent first-order equations. In this formulation the "Chern-Simons-like" Lagrangian takes the form [28,33] …”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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

Nam

Park

2018

Eur. Phys. J. C

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…to get a set of equivalent first-order equations. In this formulation the "Chern-Simons-like" Lagrangian takes the form [28,33] …”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

Nam

Park

2018

Eur. Phys. J. C

View full text Add to dashboard Cite

show abstract

“…The remaining degree of freedom is potentially a ghost mode. One way to avoid this presumably ghost mode is by restricting the parameter space of the theory, for example, choosing β 2 = 0, and assuming that e 1 is invertible [1,[27][28][29]. 3 Therefore, the equations of motion for e 1 a , e 2 a , and ω I a , with β 2 = 0, and with an invertible e 1 , derived from the Lagrangian density (3.…”

Section: Jhep09(2014)132mentioning

confidence: 99%

Anisotropic scale invariant spacetimes and black holes in Zwei-Dreibein Gravity

Goya

2014

J. High Energ. Phys.

View full text Add to dashboard Cite

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.

show abstract

Interacting spin-2 fields in three dimensions

Afshar

Bergshoeff

Merbis

2015

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

Using the frame formulation of multi-gravity in three dimensions, we show that demanding the presence of secondary constraints which remove the Boulware-Deser ghosts restricts the possible interaction terms of the theory and identifies invertible frame field combinations whose effective metric may consistently couple to matter. The resulting ghost-free theories can be represented by theory graphs which are trees. In the case of three frame fields, we explicitly show that the requirement of positive masses and energies for the bulk spin-2 modes in AdS$_3$ is consistent with a positive central charge for the putative dual CFT$_2$.Comment: 26 pages, 3 figures, v2: minor changes, matches published versio

show abstract

Chern–Simons-Like Gravity Theories

Cited by 52 publications

References 22 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

Anisotropic scale invariant spacetimes and black holes in Zwei-Dreibein Gravity

Interacting spin-2 fields in three dimensions

Contact Info

Product

Resources

About