Quasinormal Modes and Hidden Conformal Symmetry of Warped dS${}_3$ Black Hole

Abstract

In this paper, we analytically calculate the quasinormal modes of scalar, vector, tensor, and spinor perturbations of the warped dS${}_3$ black hole. There are two horizons for the warped dS${}_3$ black hole, namely, the black hole horizon $r_b$ and the cosmological horizon $r_c$. 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${}_3$ black hole in the region between the black hole horizon and the cosmological horizon $r_b<r<r_c$. 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.

26 pages, references added, published version

References in corpus (9)

• Warped AdS_3 Black Holes
• CFT Duals for Extreme Black Holes
• Semi-classical central charge in topologically massive gravity
• Black Hole Entropy in the presence of Chern-Simons Terms
• Hidden Conformal Symmetry of Extremal Black Holes
• Hidden Conformal Symmetry and Quasi-normal Modes
• Self-Dual Warped AdS${}_3$ Black Holes
• Quasinormal Modes of Self-Dual Warped AdS${}_3$ Black Hole in Topological Massive Gravity
• Quasi-normal Modes of Extremal Black Holes from Hidden Conformal Symmetry

Cited by in corpus (8)

• Warped Conformal Field Theory
• Quasinormal Modes of Bardeen Black Hole: Scalar Perturbations
• Thermodynamics of Black Hole Horizons and Kerr/CFT Correspondence
• Aspects of Warped AdS${}_3$/CFT${}_2$ Correspondence
• Regular black holes in de Sitter universe: scalar field perturbations and quasinormal modes
• Accelerating BTZ spacetime
• On emergent conformal symmetry near the photon ring
• Notes on Self-dual Warped dS${}_3$ Spacetime