Black hole for the Einstein-Chern-Simons gravity

Abstract

We consider a 5-dimensional action which is composed of a gravitational sector and a sector of matter, where the gravitational sector is given by a Einstein-Chern-Simons gravity action instead of the Einstein-Hilbert action. We obtain the Einstein-Chern-Simons (EChS) field equations together with its spherically sym- metric solution, which leads, in certain limit, to the standard five dimensional solution of the Einstein-Cartan field equations. It is found the conditions under which the EChS field equations admits black hole type solutions. The maximal extension and conformal compactification are also studied

arXiv comment19 pages, 15 figures

References in corpus (4)

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• Standard General Relativity from Chern-Simons Gravity
• Lecture notes on Chern-Simons (super-)gravities. Second edition (February 2008)
• Dual Formulation of the Lie Algebra S-expansion Procedure

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