Stability of vacua in new massive gravity in different gauges

Ghodsi, Ahmad; Yekta, Davood Mahdavian

doi:10.1007/jhep08(2013)095

Cited by 5 publications

(5 citation statements)

References 41 publications

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“…and energy is positive for both branches. The above charge construction for the quadratic curvature gravity is widely used in the literature; for example, see [23,[51][52][53][54][55][56][57][58][59][60][61][62][63][64][65][66][67][68][69]. Now, let us generalize the charge construction for the quadratic curvature gravity to the higher curvature gravity with the Lagrangian density constructed from the Riemann tensor and its contractions.…”

Section: Charges Of Quadratic Curvature Gravitymentioning

confidence: 99%

Conserved charges in extended theories of gravity

et al. 2019

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We give a detailed review of construction of conserved quantities in extended theories of gravity for asymptotically maximally symmetric spacetimes and carry out explicit computations for various solutions. Our construction is based on the Killing charge method, and a proper discussion of the conserved charges of extended gravity theories with this method requires studying the corresponding charges in Einstein's theory with or without a cosmological constant. Hence we study the ADM charges (in the asymptotically flat case but in generic viable coordinates), the AD charges (in generic Einstein spaces, including the anti-de Sitter spacetimes) and the ADT charges in anti-de Sitter spacetimes. We also discuss the conformal properties and the behavior of these charges under large gauge transformations as well as the linearization instability issue which explains the vanishing charge problem for some particular extended theories. We devote a long discussion to the quasi-local and offshell generalization of conserved charges in the 2+1 dimensional Chern-Simons like theories and suggest their possible relevance to the entropy of black holes.

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Section: Charges Of Quadratic Curvature Gravitymentioning

confidence: 99%

Conserved charges in extended theories of gravity

et al. 2019

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“…The stability of these solutions in massive gravity models have been studied in various cases. For example, in NMG theory it was shown that the warped AdS geometry is unstable in all range of parameters [36] while in four dimensional gravity theories instability of Schwarzschild black holes and Kerr geometries have been studied in [37,38]. Therefore this kind of instability may have the same origin and investigating this point could help us to understand the physics of massive spin-2 excitations.…”

Section: Discussion and Outlookmentioning

confidence: 99%

“…It is easy to see that M > 1 leads to stable frequencies. There is an important point regarding the solutions (35) and (36). As mentioned in [9], these two modes are not orthogonal, so they can not be interpreted as independent massive modes in the theory and they might be some missing solutions to the linearized eq.…”

Section: Analytical Analysis Of Qnm'smentioning

confidence: 99%

Instability of BTZ black holes in parity-even massive gravity

Jafari

Soltanpanahi

2019

J. High Energ. Phys.

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We investigate the linearized equations of motion in three dimensional Born-Infeld gravity theory. Motivated by this model, we calculate the quasinormal modes of BTZ black hole solutions of parity-even gravity theories in three dimensions by using numerical methods. The results are classified in three families and they are so accurate such that it allows us to propose analytical form for the quasinormal frequencies. We find new quasinormal modes which have been missing in the literature of the analytical studies of three dimensional massive gravitons. These new modes do not have the known tower structure and they are purely imaginary for any value of the angular momenta. Considering the complete set of the quasinormal modes, we show that the BTZ black hole solutions are unstable for any value of the parameters of the theory. We confirm our numerical results by computing the new eigenmodes analytically at zero angular momentum.

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“…On the other hand, the classical (in) stability condition of the BTZ black hole was recently determined by the condition of M 2 > 0(< 0) regardless of the horizon size r + [34] (see also [35] for stability issue in NMG). The case of M 2 = 0 corresponds to the critical gravity where all thermodynamical quantities are zero and logarithmic modes appear.…”

Section: Jhep04(2014)058mentioning

confidence: 99%

Thermodynamic and classical instability of AdS black holes in fourth-order gravity

Myung

Moon

2014

J. High Energ. Phys.

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Abstract:We study thermodynamic and classical instability of AdS black holes in fourthorder gravity. These include the BTZ black hole in new massive gravity, Schwarzschild-AdS black hole, and higher-dimensional AdS black holes in fourth-order gravity. All thermodynamic quantities which are computed using the Abbot-Deser-Tekin method are used to study thermodynamic instability of AdS black holes. On the other hand, we investigate the s-mode Gregory-Laflamme instability of the massive graviton propagating around the AdS black holes. We establish the connection between the thermodynamic instability and the GL instability of AdS black holes in fourth-order gravity. This shows that the Gubser-Mitra conjecture holds for AdS black holes found from fourth-order gravity.

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Stability of vacua in new massive gravity in different gauges

Cited by 5 publications

References 41 publications

Conserved charges in extended theories of gravity

Conserved charges in extended theories of gravity

Instability of BTZ black holes in parity-even massive gravity

Thermodynamic and classical instability of AdS black holes in fourth-order gravity

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