Classification of solutions in topologically massive gravity

Chow, David D. K.; Pope, C.N.; Sezgin, Ergin

doi:10.1088/0264-9381/27/10/105001

Cited by 105 publications

(180 citation statements)

References 59 publications

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“…Clearly we have only two Killing vectors generically -namely ∂ t and ∂ y . Each horizon r = r * is generated by the Killing vector: 24) which is an appropriate linear combination of the two Killing vectors. Ω H (r * ) is a constant given by: Ω H (r * ) = c 2 α(r * ) (5.25) and is the rigid velocity of the corresponding horizon.…”

Section: Jhep04(2014)136mentioning

confidence: 99%

Holographic perfect fluidity, Cotton energy-momentum duality and transport properties

Mukhopadhyay

Petkou

Petropoulos

et al. 2014

J. High Energ. Phys.

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We investigate background metrics for 2 + 1-dimensional holographic theories where the equilibrium solution behaves as a perfect fluid, and admits thus a thermodynamic description. We introduce stationary perfect-Cotton geometries, where the Cotton-York tensor takes the form of the energy-momentum tensor of a perfect fluid, i.e. they are of Petrov type D t . Fluids in equilibrium in such boundary geometries have non-trivial vorticity. The corresponding bulk can be exactly reconstructed to obtain 3 + 1-dimensional stationary black-hole solutions with no naked singularities for appropriate values of the black-hole mass. It follows that an infinite number of transport coefficients vanish for holographic fluids. Our results imply an intimate relationship between black-hole uniqueness and holographic perfect equilibrium. They also point towards a Cotton/energy-momentum tensor duality constraining the fluid vorticity, as an intriguing boundary manifestation of the bulk mass/nut duality.

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Section: Jhep04(2014)136mentioning

confidence: 99%

Holographic perfect fluidity, Cotton energy-momentum duality and transport properties

Mukhopadhyay

Petkou

Petropoulos

et al. 2014

J. High Energ. Phys.

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“…Thus, the only optical scalar that can be defined on the vector space k ⊥ /k for a null geodesic vector field in the three-dimensional case is the divergence [28]. The particular metric ansatz (29) belongs to the Kundt family of metrics [7,8] defined by a divergence-free, null geodesic vector field in the general form for Λ = 0.…”

Section: The Metric Ansatzmentioning

confidence: 99%

“…Although for H = 0 and Λ = 0 the background metric is of type O, for Λ = 0 the metric ansatz (29) is Petrov-Segre type N [7] which can be inferred simply by examining the following expressions for the Ricci 1-forms:…”

Section: The Curvature Formsmentioning

confidence: 99%

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Impulsive gravitational waves in general massive 3D gravity

Baykal

Dereli

2017

Phys. Rev. D

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“…Unlike the case of MMG, ∇ µ H µν does not vanish for all solutions but it does so for a large class of solutions, including all the metrics that solve TMG [12,13] such as algebraic Types O, N, D and some Kundt solutions [13,14] and many more: For example, for all solutions of the form…”

Section: The New Tensor: Hµνmentioning

confidence: 99%

Bulk and boundary unitary gravity in 3D:MMG2

Tekin¹

2015

Phys. Rev. D

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We construct a massive spin-2 theory in 2+1 dimensions that is immune to the bulk-boundary unitarity conflict in anti-de Sitter space and hence amenable to holography. The theory is an extension of Topologically Massive Gravity, just like the recently found Minimal Massive Gravity (MMG), but it has two massive helicity modes instead of a single one. The theory admits all the solutions of TMG with a redefined topological parameter. We calculate the Shapiro time-delay and show that flat-space (local) causality is not violated. We show that there is an interesting relation between the theory we present here (which we call MMG2), MMG and the earlier New Massive Gravity (NMG): Namely, field equations of these theories are non-trivially related. We study the bulk excitations and boundary charges of the conformal field theory that could be dual to gravity. We also find the chiral gravity limit for which one of the massive modes becomes massless. The virtue of the model is that one does not have to go to the chiral limit to achieve unitarity in the bulk and on the boundary and the log-terms that appear in the chiral limit and cause instability do not exist in the generic theory.PACS numbers: I. INTRODUCTIONGravity in 2+1 dimensions has a counterintuitive richness: On the one side, naive counting from the metric leads to the conclusion that once gauge invariance (diffeomorphism invariance) is taken into account, no local propagating degrees of freedom (gravitons or gravity waves) exist, as in the case of Einstein's gravity. On the other hand, modifications of the theory, such as with higher powers of curvature introduce non-trivial local dynamics along with, usually, massive gravitons. Therefore, while it is very hard to get non-linear, unitary, ghostfree massive gravity in 3+1 dimensions with 5 degrees of freedom, it is embarrassingly easy to get massive gravity with 2 degrees of freedom in one lower dimensions. By now there there are several 3D models : Topologically Massive Gravity (TMG),[1], New Massive Gravity (NMG) [2] and the recent Minimal Massive Gravity (MMG) [3,4]. TMG is a parity-violating theory with a single spin-2 degree of freedom, NMG has a massive spin-2 excitation with both helicities, while MMG has a single massive parity-violating spin-2 excitation (same as TMG) but free of the bulk-boundary unitarity conflict in anti-de Sitter(AdS)spacetime that inflicts NMG and TMG. Ultimately, of course, research in 3D gravity aims at understanding or building "quantum gravity" in the physically relevant spacetime. For this purpose, obtaining a unitary, nontrivial gravity theory that has a welldefined unitary conformal field theory on the boundary is an important step. For example, NMG which has 2 massive bulk excitations just like General Relativity in 4D (with a massless graviton) does not have a unitary * Electronic address: btekin@metu.edu.tr conformal field theory (CFT) on the boundary. [Elaborate extensions of NMG could not resolve the issue [5,6].] Hence MMG stands alone as a curious non-trivial case of a 3...

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Classification of solutions in topologically massive gravity

Cited by 105 publications

References 59 publications

Holographic perfect fluidity, Cotton energy-momentum duality and transport properties

Holographic perfect fluidity, Cotton energy-momentum duality and transport properties

Impulsive gravitational waves in general massive 3D gravity

Bulk and boundary unitary gravity in 3D:MMG2

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