Klein-Gordon Field in the Rotating Black Branes Wrapped on Einstein Spaces

A. López-Ortega

doi:10.1023/A:1026010013400

Klein-Gordon Field in the Rotating Black Branes Wrapped on Einstein Spaces

A. López-Ortega

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

6 Scopus citations

Abstract

We show that the equation of motion for a massive scalar field coupled to the scalar curvature is separable in the n-dimensional metric with one rotation parameter (n > 4) found by Klemm, which includes, for example, the n-dimensional Kerr AdS solution with one rotation parameter. When the scalar field is massless and not coupled to the scalar curvature we obtain some limiting cases of our results and we compare them with other results recently published. Also, we make a brief analysis of the differential equations obtained by separation of variables when the n-dimensional Kerr black hole with one rotation parameter is the background metric.

Original language	English
Pages (from-to)	1785-1797
Number of pages	13
Journal	General Relativity and Gravitation
Volume	35
Issue number	10
DOIs	https://doi.org/10.1023/A:1026010013400
State	Published - Oct 2003
Externally published	Yes

Keywords

Black brane
Black hole
Higher dimensions
Klein Gordon
Separation of variables

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title = "Klein-Gordon Field in the Rotating Black Branes Wrapped on Einstein Spaces",

abstract = "We show that the equation of motion for a massive scalar field coupled to the scalar curvature is separable in the n-dimensional metric with one rotation parameter (n > 4) found by Klemm, which includes, for example, the n-dimensional Kerr AdS solution with one rotation parameter. When the scalar field is massless and not coupled to the scalar curvature we obtain some limiting cases of our results and we compare them with other results recently published. Also, we make a brief analysis of the differential equations obtained by separation of variables when the n-dimensional Kerr black hole with one rotation parameter is the background metric.",

keywords = "Black brane, Black hole, Higher dimensions, Klein Gordon, Separation of variables",

author = "A. L{\'o}pez-Ortega",

note = "Funding Information: The author would like to thank Dr. G. F. Torres del Castillo for valuable discussions while this work was in progress, and also for proofreading the manuscript. The author would also like to thank Dr. Miguel A. P{\'e}rez Ang{\'o}n for his interest in this work. This work was partially supported by CONACyT, M{\'e}xico.",

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N2 - We show that the equation of motion for a massive scalar field coupled to the scalar curvature is separable in the n-dimensional metric with one rotation parameter (n > 4) found by Klemm, which includes, for example, the n-dimensional Kerr AdS solution with one rotation parameter. When the scalar field is massless and not coupled to the scalar curvature we obtain some limiting cases of our results and we compare them with other results recently published. Also, we make a brief analysis of the differential equations obtained by separation of variables when the n-dimensional Kerr black hole with one rotation parameter is the background metric.

AB - We show that the equation of motion for a massive scalar field coupled to the scalar curvature is separable in the n-dimensional metric with one rotation parameter (n > 4) found by Klemm, which includes, for example, the n-dimensional Kerr AdS solution with one rotation parameter. When the scalar field is massless and not coupled to the scalar curvature we obtain some limiting cases of our results and we compare them with other results recently published. Also, we make a brief analysis of the differential equations obtained by separation of variables when the n-dimensional Kerr black hole with one rotation parameter is the background metric.

KW - Black brane

KW - Black hole

KW - Higher dimensions

KW - Klein Gordon

KW - Separation of variables

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DO - 10.1023/A:1026010013400

M3 - Artículo

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EP - 1797

JO - General Relativity and Gravitation

JF - General Relativity and Gravitation

IS - 10

ER -

Klein-Gordon Field in the Rotating Black Branes Wrapped on Einstein Spaces

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