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.
| Original language | English |
|---|---|
| Article number | 28 |
| Journal | General Relativity and Gravitation |
| Volume | 50 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Mar 2018 |
Bibliographical note
Publisher Copyright:© 2018, Springer Science+Business Media, LLC, part of Springer Nature.
Funding
Acknowledgements M. H. thanks Og˘uzhan Kas¸ıkçı for technical assistance. He also thanks the Science Academy, Istanbul for support. This work is supported by TÜB˙TAK, the Scientific and Technological Council of Turkey.
| Funders | Funder number |
|---|---|
| Scientific and Technological Council of Turkey |
Keywords
- Exact solutions
- Heun functions
- Kerr metric
- Wave equation