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• W2125785341 abstract "In this paper we consider the structure of the $AdS_3$ vacua in $R^3$ expansion of the New Massive Gravity ($R^3$-NMG). We obtain the degeneracies of the $AdS_3$ vacua at several points of the parametric space. Additionally, following a specific analysis we show that $AdS_3$ wave solutions are present. Using these wave solutions, we single out two special points of the parametric space for which logarithmic terms appear in the solutions. The first one is a point at which the effective mass of the wave profile which is interpreted as a scalar mode, completely saturates the Breitenlohner-Freedman bound of the $AdS_3$ space in which the wave is propagating. The second special point is a point at which the central charge of the theory vanishes. Furthermore, we investigate the possibility of asymptotically Lifshitz black solutions to be present in the three-dimensional $R^3$-NMG. We derive analytically the Lifshitz vacua considering specific relations between the mass parameters of $R^3$-NMG. A certain polynomial equation arises at the first special point where solutions with logarithmic fall-off in the $AdS_3$ space appear. Solving this polynomial equation, we obtain the values of the dynamical exponent $z$ which correspond to possible asymptotically Lifshitz black hole solutions. However, it is shown that asymptotically Lifshitz black solutions do not exist in the three-dimensional $R^3$-NMG for a specific ansatz of the black hole metric." @default.
• W2125785341 created "2016-06-24" @default.
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• W2125785341 date "2013-09-26" @default.
• W2125785341 modified "2023-09-26" @default.
• W2125785341 title "Searching forAdS3waves and asymptotically Lifshitz black holes inR3new massive gravity" @default.
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• W2125785341 doi "https://doi.org/10.1103/physrevd.88.064054" @default.
• W2125785341 hasPublicationYear "2013" @default.
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