A Central Mass in a Stationary Vacuum without Spherical or Axial Symmetry. (4th June 2013)

• Record Type: Journal Article
• Authors: Davidson, William
• Other Names: Dehnen H. Academic Editor.; Kieda D. Academic Editor.
• Is Part Of: ISRN astronomy and astrophysics. Volume 2013(2013)
• Publication Date: 2013-06-04
• Subjects: Astronomy -- Periodicals; Astrophysics -- Periodicals; Astronomy; Astrophysics; Electronic journals; Periodicals; Electronic journals; 520
• DOI: 10.1155/2013/470634
• Languages: English
• ISSNs: 2090-4738

Abstract

Abstract : A vacuum spacetime with a central mass is derived as a stationary solution to Einstein's equations. The vacuum metric has a geodesic, shear-free, expanding, and twisting null congruence k and thus is algebraically special. The properties of the metric are calculated. In particular, it is shown that the spacetime has an event horizon inside which there is a black hole. The metric is neither spherically nor axially symmetric. It is therefore in interesting contrast with the majority of metrics featuring a central mass which have one or more of these symmetry properties. The metric reduces to the Schwarzschild case when a certain parameter is set to zero.