Energy of the Kerr-Newman-AdS black hole by using approximate Lie symmetries

Details Energy of the Kerr-Newman-AdS black hole by using approximate Lie symmetries Energy of the Kerr-Newman-AdS black hole by using approximate Lie symmetries

Apr 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011gregr..43.1037h&link_type=abstract

General Relativity and Gravitation, Volume 43, Issue 4, pp.1037-1045

Mathematics

Logic

1

Kn-Ads Black Hole, Second-Order Approximate Symmetries, Energy

Scientific paper

Using Lie approximate symmetry methods for differential equations second-order approximate symmetries of the geodesic equations for the Kerr-Newman-AdS (KN-AdS) spacetime are investigated. For this purpose the KN-AdS metric is considered as a second perturbation of the AdS metric. A rescaling of the arc length parameter for consistency of the trivial second-order approximate symmetries of the geodesic equations indicates that the energy in the KN-AdS spacetime has to be rescaled. There is an extra contribution to the energy of the KN-AdS spacetime due to the cosmological constant. This energy expression is compared with that for the Kerr-Newman (KN) spacetime.

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