MadSci Network: Physics |
Dear N.N.,
all known stationary black hole solutions to the Einstein-Maxwell equations are special cases of the Kerr-Newman solution. It is described by only three parameters (cosmic censorship): the mass M, its charge Q and the quotient of angular momentum and mass, a = J/M. The singularity has the form of a ring, as in the case of the Kerr-solution (Q=0). This ring lies within the black hole. If the mass satisfies the inequality
M^2 => Q^2 + a^2
the solution will have two horizons with radii
M + ( M^2 - a^2 - Q^2 )^(1/2) and
M - ( M^2 - a^2 - Q^2 )^(1/2).
Otherwise the singularity is "naked", i.e., not hidden from the outside by a horizon. There is also an ergosphere: it is situated in between the outer horizon and the "static limit", an ellipsoid defined by its distance from the center
r = M + ( M^2 - Q^2 - a^2 cos^2 (s) )^(1/2),
where s is the azimuthal angle. So the global structure is the same as in the case of a Kerr black hole.
For detailed information on Kerr-Newman black holes see for example the
following books:
Gravitation by Misner, Thorne and Wheeler
General Relativity by R. Wald
inside a black hole.
I hope this helps,
Michael
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