New approach to einstein-Petrov type I spaces. II. A classification scheme

Journal Article · Tue Apr 01 04:00:00 EST 1986 · Int. J. Theor. Phys.; (United States)

DOI:https://doi.org/10.1007/BF00670767· OSTI ID:6990267

Edgar, S B

A classification scheme is presented which enables one to have an overall look at Einstein-Petrov type I spaces and in particular to pick out those spaces whose Petrov scalars are functionally independent. It is shown that some subclasses defined by quite severe simplifying assumptions (which lead to considerable simplification of the field equations) still retain functionally independent Petrov scalars. For these subclasses three coupled differential equations (two of which are wave equations) are calculated for the Petrov scalars.

• Research Organization: Univ. of Bostswana, Gaborone
• OSTI ID: 6990267
• Journal Information: Int. J. Theor. Phys.; (United States), Journal Name: Int. J. Theor. Phys.; (United States) Vol. 25:4; ISSN IJTPB
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CLASSIFICATION
DIFFERENTIAL EQUATIONS
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
GRAVITATIONAL FIELDS
MATHEMATICAL SPACE
PARTIAL DIFFERENTIAL EQUATIONS
SCALARS
SPACE
WAVE EQUATIONS