Lorentz covariant treatment of the Kerr--Schild geometry

Journal Article · Mon Dec 01 04:00:00 EST 1975 · J. Math. Phys. (N.Y.), v. 16, no. 12, pp. 2385-2390

DOI:https://doi.org/10.1063/1.522480· OSTI ID:4155936

Gurses, M; Gursey, F

It is shown that a Lorentz covariant coordinate system can be chosen in the case of the Kerr--Schild geometry which leads to the vanishing of the pseudo energy--momentum tensor and hence to the linearity of the Einstein equations. The retarded time and the retarded distance are introduced and the Lienard-- Wiechert potentials are generalized to gravitation in the case of world-line singularities to derive solutions of the type of Bonnor and Vaidya. An accelerated version of the de Sitter metric is also obtained. Because of the linearity, complex translations can be performed on these solutions, resulting in a special relativistic version of the Trautman--Newman technique and Lorentz covariant solutions for spinning systems can be derived, including a new anisotropic interior metric that matches to the Kerr metric on an oblate spheroid. (AIP)

• Research Organization: Physics Department, Yale University, New Haven, Connecticut 06520
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-011178
• OSTI ID: 4155936
• Journal Information: J. Math. Phys. (N.Y.), v. 16, no. 12, pp. 2385-2390, Journal Name: J. Math. Phys. (N.Y.), v. 16, no. 12, pp. 2385-2390; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

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SPACE-TIME