Empty-Space Generalization of the Schwarzschild Metric

Abstract

A new class of empty-space metrics is obtained, one member of this class being a natural generalization of the Schwarzschild metric. This latter metric contains one arbitrary parameter in addition to the mass. The entire class is the set of metrics which are algebraically specialized (contain multiple-principle null vectors) such that the propagation vector is not proportional to a gradient. These metrics belong to the Petrov class type I degenerate.

New entropy formula for Kerr black holes

“…We consider now a generalization to Kerr-Taub-NUT [49,50] whose metric in Boyer-Lindquist coordinates is given by…”

Nutty dyons

“…The first example of such a solution was found in 1963 by Newman, Unti and Tamburino (NUT) [6,7]. This metric has become renowned for being "a counterexample to almost anything" [8] and represents a generalization of the Schwarzschild vacuum solution [9] (see [10] for a simple derivation of this metric and historical review).…”

Black Holes, Hidden Symmetry and Complete Integrability: Brief Review

“…In 1963 Newman, Tamburino and Unti [3] found another generalization of the Schwarzschild solution which besides mass M contained another parameter N . This parameter N , called NUT-parameter, describes "gravitomagnetic monopole" [4].…”