Massive Gravity in Three Dimensions

Bergshoeff, Eric; Hohm, Olaf; Townsend, Paul

doi:10.1103/physrevlett.102.201301

Cited by 789 publications

(1,353 citation statements)

References 22 publications

(28 reference statements)

Supporting

Mentioning

1,321

Contrasting

Unclassified

Order By: Relevance

“…Other recent works on partial masslessness, but in somewhat different setups, include [25,26], as well as [27] in the "new massive gravity" framework of [28,29]. The issue arises also in the context of higher-spin theories (see e.g.…”

Section: Introductionmentioning

confidence: 99%

On partially massless bimetric gravity

2013

View full text Add to dashboard Cite

Abstract:We extend the notion of the Higuchi bound and partial masslessness to ghostfree nonlinear bimetric theories. This can be acheived in a simple way by first considering linear massive spin-2 perturbations around maximally symmetric background solutions, for which the linear gauge symmetry at the Higuchi bound is easily identified. Then, requiring consistency between an appropriate subset of these transformations and the dynamical nature of the backgrounds, fixes all but one parameter in the bimetric interaction potential. This specifies the theory upto the value of the Fierz-Pauli mass and leads to the unique candidate for nonlinear partially massless bimetric theory.

show abstract

Section: Introductionmentioning

confidence: 99%

On partially massless bimetric gravity

2013

View full text Add to dashboard Cite

show abstract

“…Let us begin by reviewing New Massive Gravity theory [32]. The action of the theory consists of the sum of three different contributions, namely…”

Section: New Massive Gravitymentioning

confidence: 99%

“…which is the form of the action presented in [32]. The equations of motion derived from action (1) read…”

Section: New Massive Gravitymentioning

confidence: 99%

See 1 more Smart Citation

The Brown-York mass of black holes in Warped Anti-de Sitter space

Giribet

Goya

2013

J. High Energ. Phys.

View full text Add to dashboard Cite

We give a direct computation of the mass of black holes in Warped Anti-de Sitter space (WAdS) in terms of the Brown-York stress-tensor at the boundary. This permits to explore to what extent the holographic renormalization techniques can be applied to such type of deformation of AdS. We show that, despite some components of the boundary stress-tensor diverge and resist to be regularized by the introduction of local counterterms, the precise combination that gives the quasilocal energy density yields a finite integral. The result turns out to be in agreement with previous computations of the black hole mass obtained with different approaches. This is seen to happen both in the case of Topologically Massive Gravity and of the so-called New Massive Gravity. Here, we focus our attention on the latter. We observe that, despite other conserved charges diverge in the near boundary limit, the finite part in the large radius expansion captures the physically relevant contribution. We compute the black hole angular momentum in this way and we obtain a result that is in perfect agreement with previous calculations.

show abstract

“…But this action, which violates parity, exists only in the three dimensions and the renormalizability can not be generalized to four dimensions. Moreover, recently it has been clarified that the unitarity and renormalizaton are not compatible in threedimensional Lorentz-invariant higher-curvature gravities, which preserves parity, for general coefficients of the higher-curvature terms [17], including the new massive gravity case [18].…”

Section: The Rotating Black Hole In Three-dimensional Hořava Gravitymentioning

confidence: 99%

The rotating black hole in renormalizable quantum gravity: The three-dimensional Hořava gravity case

Park

2013

Physics Letters B

View full text Add to dashboard Cite

Recently Hořava proposed a renormalizable quantum gravity, without the ghost problem, by abandoning Einstein's equal-footing treatment of space and time through the anisotropic scaling dimensions. Since then various interesting aspects, including the exact black hole solutions have been studied but no rotating black hole solutions have been found yet, except some limiting cases. In order to fill the gap, I consider a simpler three-dimensional set-up with z = 2 and obtain the exact rotating black hole solution. This solution has a ring curvature singularity inside the outer horizon, like the four-dimensional Kerr black hole in Einstein gravity, as well as a curvature singularity at the origin. The usual mass bound works also here but in a modified form. Moreover, it is shown that the conventional first law of thermodynamics with the usual Hawking temperature and chemical potential does not work, which seems to be the genuine effect of Lorentz-violating gravity due to lack of the absolute horizon.

show abstract

Massive Gravity in Three Dimensions

Cited by 789 publications

References 22 publications

On partially massless bimetric gravity

On partially massless bimetric gravity

The Brown-York mass of black holes in Warped Anti-de Sitter space

The rotating black hole in renormalizable quantum gravity: The three-dimensional Hořava gravity case

Contact Info

Product

Resources

About