Exact solution of the wave equation of a scalar particle in the zero mass limit of Kerr and Kerr-(anti-)de-Sitter space-times

Abstract

Heun-type exact solutions emerge for both the radial and the angular equations for the case of a scalar particle coupled to the zero mass limit of both the Kerr and Kerr-(anti)de-Sitter spacetime. Since any type D metric has Heun-type solutions, it is interesting that this property is retained in the zero mass case. This work further refutes the claims that $M$ going to zero limit of the Kerr metric is both locally and globally the same as the Minkowski metric.

6 pages. Matches the published version

References in corpus (3)

• Heun equation, Teukolsky equation, and type-D metrics
• Zero mass limit of Kerr spacetime is a wormhole
• Ring wormholes via duality rotations

Cited by in corpus (1)

• Quasinormal Modes and Greybody Factors of $f(R)$ gravity minimally coupled to a cloud of strings in $2+1$ Dimensions