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Higher-dimensional black holes with a conformally invariant Maxwell source

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arxiv hep-th/0701058 v1 pith:IEF26YBG submitted 2007-01-08 hep-th

Mokhtar Hassaine , Cristian Martinez This is my paper · ORCID
classification hep-th
keywords blackfieldactionelectricholemaxwellpowersolutions
verification ladder T0 review T1 audit T2 compute T3 formal
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We consider an action for an abelian gauge field for which the density is given by a power of the Maxwell Lagrangian. In d spacetime dimensions this action is shown to enjoy the conformal invariance if the power is chosen as d/4. We take advantage of this conformal invariance to derive black hole solutions electrically charged with a purely radial electric field. Because of considering power of the Maxwell density, the black hole solutions exist only for dimensions which are multiples of four. The expression of the electric field does not depend on the dimension and corresponds to the four-dimensional Reissner-Nordstrom field. Using the Hamiltonian action we identify the mass and the electric charge of these black hole solutions.

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Cited by 5 Pith papers

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