Group transformation that generates the Kerr and Tomimatsu-Sato metrics

Journal Article · Mon Jun 19 04:00:00 EDT 1978 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.40.1608· OSTI ID:6736032

Kinnersley, W; Chitre, D M

For stationary axially symmetric vacuum metrics, we give a series of transformations ..beta../sup( k/) which automatically preserve asymptotic flatness. We show how to generate the Kerr metric from the Schwarzschild, using ..beta../sup(/sup 0/). We also show, using ..beta../sup( k/), that the Tomimatsu-Sato (TS) class of metrices must be larger than previously realized, and for delta = 2 there is a five-parameter TS metric. As an example, we present a two-parameter metric from this family, which we claim to be a new, physically realistic, aymptotically flat, rotating vacuum solution.

• Research Organization: Physics Department, Montana State University, Bozeman, Montana 59717
• OSTI ID: 6736032
• Journal Information: Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 40:25; ISSN PRLTA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIFFERENTIAL EQUATIONS
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
GRAVITATIONAL FIELDS
KERR METRIC
MATHEMATICAL SPACE
METRICS
MINKOWSKI SPACE
SCHWARZSCHILD METRIC
SPACE
SPACE-TIME
TRANSFORMATIONS
VACUUM STATES