Massive 3D gravity Big Bounce

Louzada, H. L. C.; dS, U. Camara; Sotkov, G. M.

doi:10.1016/j.physletb.2010.02.062

Cited by 13 publications

(12 citation statements)

References 24 publications

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“…[5]. When matter is added the only known exact solutions [6] are certain asymptotically dS 3 geometries that describe Bounce-like evolutions of 3D Universe.…”

Section: Introductionmentioning

confidence: 99%

New massive gravity domain walls

Sotkov

2010

Physics Letters B

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The properties of the asymptotic AdS 3 space-times representing flat domain walls (DW's) solutions of the New Massive 3D Gravity with scalar matter are studied. Our analysis is based on I st order BPS-like equations involving an appropriate superpotential. The Brown-York boundary stress-tensor is used for the calculation of DW's tensions as well as of the CF T 2 central charges. The holographic renormalization group flows and the phase transitions in specific deformed CF T 2 dual to 3D massive gravity model with quadratic superpotential are discussed.1 Although the NMG action (1) involves up to fourth order derivatives of 3D metrics g µν , the corresponding equations for the DW's (2) are of second order:σ +σφ − V ′ (σ) = 0 3 although there exist controversy claims concerning its super-renormalizability [4].

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“…[5]. When matter is added the only known exact solutions [6] are certain asymptotically dS 3 geometries that describe Bounce-like evolutions of 3D Universe.…”

Section: Introductionmentioning

confidence: 99%

New massive gravity domain walls

Sotkov

2010

Physics Letters B

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“…which is motivated by the domain wall case [63] and can be explained by fake supersymmetry in the Einstein gravity limit [64]. As was shown in [41], extremal hairy deformed BTZ black holes satisfy some reduced EOM.…”

Section: Angular Momentum and Extremal Black Holesmentioning

confidence: 86%

Conserved quantities and Virasoro algebra in new massive gravity

Kim

Kulkarni

2013

J. High Energ. Phys.

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Using the off-shell Noether current and potential we compute the entropy for the AdS black holes in new massive gravity. For the non-extremal BTZ black holes by implementing the so-called stretched horizon approach we reproduce the correct expression for the horizon entropy. For the extremal case, we adopt standard formalism in the AdS/CFT correspondence and reproduce the corresponding entropy by computing the central extension term on the asymptotic boundary of the near horizon geometry. We explicitly show the invariance of the angular momentum along the radial direction for extremal as well as non-extremal BTZ black holes in our model. Furthermore, we extend this invariance for the black holes in new massive gravity coupled with a scalar field, which correspond to the holographic renormalization group flow trajectory of the dual field theory. This provides another realization for the holographic c-theorem. *

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“…The main ingredients of the NMG holography -the NMG's vacua and DW's solutions, the values of the central charges of the conjectured dual CF T 2 's and the holographic RG flows -were extensively studied by different methods [17,20,21,27,29,30]. As is well known from the example of Einstein gravity [35] ,the properties and the proper existence of the holographic RG flows in its 2d dual QFT 2 , strongly depend on the form of bulk matter interactions.…”

Section: Nmg Holographymentioning

confidence: 99%

“…However, one particular class of such solutions which are "stable" and exact can be obtained by introducing an auxiliary function W (σ), called superpotential, which allows to reduce the corresponding DW's gravity-matter equations to an specific BPS-like I st order system [27,29]:…”

Section: Nmg Holographymentioning

confidence: 99%

Self-duality from new massive gravity holography

Silva

Constantinidis

Lima

et al. 2013

J. High Energ. Phys.

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The holographic renormalization group (RG) flows in certain self-dual two dimensional QFT's models are studied. They are constructed as holographic duals to specific New Massive 3d Gravity (NMG) models coupled to scalar matter with "partially self-dual" superpotentials. The standard holographic RG constructions allow us to derive the exact form of their β-functions in terms of the corresponding NMG's domain walls solutions. By imposing invariance of the free energy, the central function and of the anomalous dimensions under specific matter field's duality transformation, we have found the conditions on the superpotentials of two different NMG's models, such that their dual 2d QFT's are related by a simple strong-weak coupling transformation.

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Massive 3D gravity Big Bounce

Cited by 13 publications

References 24 publications

New massive gravity domain walls

New massive gravity domain walls

Conserved quantities and Virasoro algebra in new massive gravity

Self-duality from new massive gravity holography

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