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

T. Birkandan; M. Hortaçsu

doi:10.1007/s10714-018-2351-y

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

T. Birkandan^*, M. Hortaçsu

^*Corresponding author for this work

Department of Physics Engineering

Mimar Sinan Guzel Sanatlar University

Research output: Contribution to journal › Letter › peer-review

8 Citations (Scopus)

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	https://doi.org/10.1007/s10714-018-2351-y
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

Access to Document

10.1007/s10714-018-2351-y

Cite this

@article{d2a18c172b4f49878bd26ff4ff6350d8,

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

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 = "Exact solutions, Heun functions, Kerr metric, Wave equation",

author = "T. Birkandan and M. Horta{\c c}su",

note = "Publisher Copyright: {\textcopyright} 2018, Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2018",

month = mar,

day = "1",

doi = "10.1007/s10714-018-2351-y",

language = "English",

volume = "50",

journal = "General Relativity and Gravitation",

issn = "0001-7701",

publisher = "Springer New York",

number = "3",

}

TY - JOUR

T1 - The zero mass limit of Kerr and Kerr-(anti-)de-Sitter space-times

T2 - exact solutions and wormholes

AU - Birkandan, T.

AU - Hortaçsu, M.

PY - 2018/3/1

Y1 - 2018/3/1

N2 - 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.

AB - 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.

KW - Exact solutions

KW - Heun functions

KW - Kerr metric

KW - Wave equation

UR - http://www.scopus.com/inward/record.url?scp=85042331512&partnerID=8YFLogxK

U2 - 10.1007/s10714-018-2351-y

DO - 10.1007/s10714-018-2351-y

M3 - Letter

AN - SCOPUS:85042331512

SN - 0001-7701

VL - 50

JO - General Relativity and Gravitation

JF - General Relativity and Gravitation

IS - 3

M1 - 28

ER -

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

Abstract

Bibliographical note

Funding

Keywords

Access to Document

Other files and links

Fingerprint

Cite this