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

^*Bu çalışma için yazışmadan sorumlu yazar

Fizik Mühendisliği Bölümü

Mimar Sinan Guzel Sanatlar University

Araştırma sonucu: Dergiye katkı › Mektup › bilirkişi

8 Atıf (Scopus)

Özet

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.

Orijinal dil	İngilizce
Makale numarası	28
Dergi	General Relativity and Gravitation
Hacim	50
Basın numarası	3
DOI'lar	https://doi.org/10.1007/s10714-018-2351-y
Yayın durumu	Yayınlandı - 1 Mar 2018

Bibliyografik not

Publisher Copyright:
© 2018, Springer Science+Business Media, LLC, part of Springer Nature.

Finansman

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.

Finansörler
Scientific and Technological Council of Turkey

Belgeye Erişim

10.1007/s10714-018-2351-y

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

@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 - https://www.scopus.com/pages/publications/85042331512

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

Özet

Bibliyografik not

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap