Staticity Theorem for Higher Dimensional Generalized Einstein-Maxwell System

Details Staticity Theorem for Higher Dimensional Generalized Einstein-Maxwell System Staticity Theorem for Higher Dimensional Generalized Einstein-Maxwell System

2005-01-27

arxiv.org/abs/hep-th/0501216v1

Phys.Rev. D71 (2005) 024031

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, REVTEX, to published in Phys.Rev. D15

Scientific paper

10.1103/PhysRevD.71.024031

We derive formulas for variations of mass, angular momentum and canonical energy in Einstein (n-2)-gauge form field theory by means of the ADM formalism. Considering the initial data for the manifold with an interior boundary which has the topology of (n-2)-sphere we obtained the generalized first law of black hole thermodynamics. Supposing that a black hole evevt horizon comprisesw a bifurcation Killing horizon with a bifurcate surface we find that the solution is static in the exterior world, when the Killing timelike vector field is normal to the horizon and has vanishing electric or magnetic fields on static slices.

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