The zero mass limit of Kerr and Kerr-(anti-)de-Sitter space-times: exact solutions and wormholes

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Birkandan T., Hortacsu M.

GENERAL RELATIVITY AND GRAVITATION, vol.50, no.3, 2018 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 50 Issue: 3
• Publication Date: 2018
• Doi Number: 10.1007/s10714-018-2351-y
• Journal Name: GENERAL RELATIVITY AND GRAVITATION
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Istanbul Technical University Affiliated: Yes

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.