Spacetimes with a separable Klein-Gordon equation in higher dimensions

Article

Spacetimes with a separable Klein-Gordon equation in higher dimensions

Kolář, I.; Krtouš, P.

Phys. Rev. D 93, 024053 (2016)

Abstract

We study spacetimes that lead to a separable Klein-Gordon equation in a general dimension. We introduce an ansatz for the metric in higher dimensions motivated by analogical work by Carter in four dimensions and find solutions of the Klein-Gordon equation. For such a metric we solve the Einstein equations and regain the Kerr-NUT-(A)dS spacetime as one of our results. Other solutions lead to the Einstein-Kahler metric of a Euclidean signature. Next we investigate a warped geometry of two Klein-Gordon separable spaces with a properly chosen warped factor. We show that the resulting metric leads also to a separable Klein--Gordon equation and we find the corresponding solutions. Finally, we solve the Einstein equations for the warped geometry and obtain new solutions.

Institute authors

Krtouš, Pavel

Supported by

GACR 14-37086G — Albert Einstein Center for Gravitation and Astrophysics
SVV-260211 — Aktuální problémy teoretické fyziky, astronomie a astrofyziky

BibTeX

@article{UTF555,
  author        = {Kolář, I. and Krtouš, P.},
  title         = {{Spacetimes with a separable Klein-Gordon equation in higher dimensions}},
  journal       = {Phys. Rev. D},
  volume        = {93},
  pages         = {024053},
  year          = {2016},
  doi           = {10.1103/PhysRevD.93.024053},
  eprint        = {1509.01667},
  archivePrefix = {arXiv},
}