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

Understand

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.