Normal Modes and No Zero Mode Theorem of Scalar Fields in BTZ Black Hole Spacetime

Abstract

Eigenfunctions for normal modes of scalar fields in BTZ black hole spacetime are studied. Orthonormal relations among them are derived. Quantization for scalar fields is done and particle number, energy and angular momentum are expressed by the creation and annihilation operators. Allowed physical normal mode region is studied on the basis of the no zero mode theorem. Its implication to the statistical mechanics is also studied.

11 pages,v2 typos corrected

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Cited by in corpus (12)

• Holographic excited states in AdS Black Holes
• Modular Hamiltonian for (holographic) excited states
• Scalar field dynamics in warped AdS_3 black hole background
• Rotating Black Hole Entropy from Two Different Viewpoints
• Brick Walls and AdS/CFT
• Geometric creation of quantum vorticity
• Normal mode analysis for scalar fields in BTZ black hole background
• Quantum space and quantum completeness
• Thermalization of Holographic Excited States
• Weak cosmic censorship conjecture in BTZ black holes with scalar fields
• Normal Modes, Quasi-normal Modes and Super-radiant Modes for Scalar Fields in Kerr anti-de Sitter Spacetime
• Bargmann-Wigner Formulation and Superradiance Problem of Bosons and Fermions in Kerr Space-time