A Nonaxisymmetric Solution of Einstein's Equations Featuring Pure Radiation from a Rotating Source. (8th May 2012)

• Record Type: Journal Article
• Authors: Davidson, William
• Other Names: Dehnen H. Academic Editor.; Fornengo N. Academic Editor.
• Is Part Of: ISRN astronomy and astrophysics. Volume 2012(2012)
• Publication Date: 2012-05-08
• Subjects: Astronomy -- Periodicals; Astrophysics -- Periodicals; Astronomy; Astrophysics; Electronic journals; Periodicals; Electronic journals; 520
• DOI: 10.5402/2012/178561
• Languages: English
• ISSNs: 2090-4738

Abstract

Abstract : A special nonaxisymmetric solution of Einstein's equations is derived, representing pure radiation from a rotating isolated source. The spacetime is assumed to be algebraically special having a multiple null eigenvector of the Weyl tensor forming a geodesic, shear-free, diverging, and twisting congruence k . Employing a complex null tetrad involving the vector k, the Ricci tensor, density of the radiation, divergence, and twist are calculated for the derived metric. A particular (nonaxisymmetric) subcase is shown to be flat at infinity and to contain the axisymmetric radiating Kerr metric, derived by Kramer and separately by Vaidya and Patel, as a special case. The spacetime is of Petrov type II and without Killing vectors.