8,093 research outputs found
Classical Aspects of Higher Spin Topologically Massive Gravity
We study the classical solutions of three dimensional topologically massive
gravity (TMG) and its higher spin generalization, in the first order
formulation. The action of higher spin TMG has been proposed in arXiv:1110.5113
to be of a Chern-Simons-like form. The equations of motion are more complicated
than the ones in pure higher spin AdS gravity, but are still tractable. As
all the solutions in higher spin gravity are automatically the solutions of
higher spin TMG, we focus on other solutions. We manage to find the AdS pp-wave
solutions with higher spin hair, and find that the nonvanishing higher spin
fields may or may not modify the pp-wave geometry. In order to discuss the
warped spacetime, we introduce the notion of special Killing vector, which is
defined to be the symmetry on the frame-like fields. We reproduce various
warped spacetimes of TMG in our framework, with the help of special Killing
vectors.Comment: 25 pages; minor corrections, references added, published versio
Quasinormal Modes and Hidden Conformal Symmetry of Warped dS Black Hole
In this paper, we analytically calculate the quasinormal modes of scalar,
vector, tensor, and spinor perturbations of the warped dS black hole. There
are two horizons for the warped dS black hole, namely, the black hole
horizon and the cosmological horizon . In the calculation, we impose
the ingoing boundary condition at the black hole horizon and the outgoing
boundary condition at the cosmological horizon. We also investigate the hidden
conformal symmetry of the warped dS black hole in the region between the
black hole horizon and the cosmological horizon . We use the hidden
conformal symmetry to construct the quasinormal modes in an algebraic way and
find that the results agree with the analytically ones. It turns out that the
frequencies of the quasinormal modes could be identified with the poles in the
thermal boundary-boundary correlators.Comment: 26 pages, references added, published versio
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