Spacetimes with a separable Klein-Gordon equation in higher dimensions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10335677" target="_blank" >RIV/00216208:11320/16:10335677 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1103/PhysRevD.93.024053" target="_blank" >http://dx.doi.org/10.1103/PhysRevD.93.024053</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevD.93.024053" target="_blank" >10.1103/PhysRevD.93.024053</a>

Result language
angličtina
Original language name
Spacetimes with a separable Klein-Gordon equation in higher dimensions
Original language description
We study spacetimes that lead to a separable Klein-Gordon equation in a general number of dimensions. 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-Kohler 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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Project
<a href="/en/project/GB14-37086G" target="_blank" >GB14-37086G: Albert Einstein Center for Gravitation and Astrophysics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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