Noniterative method for constructing many-parameter solutions of the Einstein and Einstein--Maxwell field equations

Journal Article · Sun Jul 01 04:00:00 EDT 1984 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.526433· OSTI ID:6734499

Guo, D

We present a noniterative method of executing a large class of Kinnersley--Chitre transformations in both the vacuum and the electrovac case. By solving the homogeneous Hilbert problem in the Hauser--Ernst formalism, we generate new many-parameter solutions of the Einstein equations. In the vacuum case, the solution is a natural generalization of the N-fold Neugebauer solution, while, in the electrovac case, we have a natural generalization of the N-fold Cosgrove solution worked out by Wang, Guo, and Wu.

• Research Organization: Department of Physics, Illinois Institute of Technology, Chicago, Illinois 60616
• OSTI ID: 6734499
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 25:7; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
EINSTEIN FIELD EQUATIONS
EINSTEIN-MAXWELL EQUATIONS
EQUATIONS
FIELD EQUATIONS
ITERATIVE METHODS
TRANSFORMATIONS