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Stability of vacua in new massive gravity in different gauges

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Abstract

We consider AdS 3 and warped AdS 3 vacua in new massive gravity and study the highest weight modes and general propagating modes as a set of solutions for the linearized equations of motion. We observed that depending on the choice of gauge there are two types of solutions. We show that for warped AdS 3 vacuum, the massless modes which appear only in the harmonic gauge have zero energy density and do not get higher curvature corrections. By computing the energy density it can be shown that all massive modes have negative energy density. Our computations prove that the massive modes in warped AdS 3 cannot be excluded by an appropriate boundary condition and this makes the theory unstable.

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Authors and Affiliations

  1. Department of Physics, Ferdowsi University of Mashhad, P.O. Box 1436, Mashhad, Iran

    Ahmad Ghodsi & Davood Mahdavian Yekta

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  1. Ahmad Ghodsi
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  2. Davood Mahdavian Yekta
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Correspondence to Ahmad Ghodsi.

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ArXiv ePrint: 1212.6876

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Ghodsi, A., Yekta, D.M. Stability of vacua in new massive gravity in different gauges. J. High Energ. Phys. 2013, 95 (2013). https://doi.org/10.1007/JHEP08(2013)095

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