Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-01-08
Phys.Rev.D75:027502,2007
Physics
High Energy Physics
High Energy Physics - Theory
5 pages
Scientific paper
10.1103/PhysRevD.75.027502
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.
Hassaïne Mokhtar
Martinez Cristian
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