Symmetries of the stationary Einstein--Maxwell equations. VI. Transformations which generate asymptotically flat spacetimes with arbitrary multipole moments

Journal Article · Sat Dec 01 04:00:00 EST 1979 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.524058· OSTI ID:5880234

Hoenselaers, C; Kinnersley, W; Xanthopoulos, B C

A new series of transformations is presented for generating stationary axially symmetric asymptotically flat vacuum solutions of Einstein's equations. The application requires only algebraic manipulations to be performed. Several examples are given of new stationary axisymmetric solutions obtained in this way. It is conjectured that the transformations, applied to the genral Weyl metric, can be used to generate systematically all stationary metrics with axial symmetry.

• Research Organization: Department of Physics, Montana State University, Bozeman, Montana 59717
• OSTI ID: 5880234
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 20:12; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
AXIAL SYMMETRY
EINSTEIN-MAXWELL EQUATIONS
EQUATIONS
FIELD EQUATIONS
MULTIPOLES
SPACE-TIME
SYMMETRY
TRANSFORMATIONS