Stationary electrovacuum spacetimes with bifurcate horizons

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Abstract
General features of all stationary electrovacuum solutions of Einstein−Maxwell equations which contain regular bifurcate horizons are studied. A certain set of invariant quantities is found in whose values the full information about the solutions is recorded. The quantities have a simple physical meaning and generalize directly the ’’local invariants’’ defined for the axially symmetric case in the previous paper [J. Math. Phys. 15, 1554 (1974)]. A necessary condition that the solutions represent a neighborhood of a black hole in an asymptotically flat spacetime is given. The condition has the form of an inequality which places an upper bound on the magnitudes of the gravimagnetic, electric, and magnetic fields at the horizon. In the case of axial symmetry, the inequality reduces to that derived in the previous paper.

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