Stability of warped AdS3 vacua of topologically massive gravity

Details Stability of warped AdS3 vacua of topologically massive gravity Stability of warped AdS3 vacua of topologically massive gravity

2009-05-18

arxiv.org/abs/0905.2612v1

JHEP 0910:083,2009

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 1 figure

Scientific paper

10.1088/1126-6708/2009/10/083

AdS3 vacua of topologically massive gravity (TMG) have been shown to be perturbatively unstable for all values of the coupling constant except the chiral point \mu l=1. We study the possibility that the warped vacua of TMG, which exist for all values of \mu, are stable under linearized perturbations. In this paper, we show that spacelike warped AdS3 vacua with Compere-Detournay boundary conditions are indeed stable in the range \mu l > 3. This is precisely the range in which black hole solutions arise as discrete identifications of the warped AdS3 vacuum. The situation somewhat resembles chiral gravity: although negative energy modes do exist, they are all excluded by the boundary conditions, and the perturbative spectrum solely consists of boundary (pure large gauge) gravitons.

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