Russian Journal of Coordination Chemistry/Koordinatsionnaya Khimiya.
Vol. 23.
1997.
P. 543-549
The full metric describing a Kerr black hole in an arbitrary static and axisymmetric gravitational field is presented in a concise analytical form which allows a straightforward verification of the mass formula for black holes. A sufficient condition of the regularity of the metric in the region exterior to the black hole horizon is formulated. © 1997 Published by Elsevier Science B.V.