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

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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… Click to show full 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.

Keywords: kerr; limit kerr; zero mass; exact solutions

Journal Title: General Relativity and Gravitation
Year Published: 2018

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