Invariant form of an integrable system of equations for type D electrovac gravitational fields

Journal Article · Tue Apr 01 00:00:00 EST 1986 · Sov. Phys. J. (Engl. Transl.); (United States)

OSTI ID:7014639

Kudrya, Y N

The author uses a spinor approach of the general theory of relativity to obtain a complete integrable system of equations in covariant derivatives for a set of geometric observables assigned by Petrov type D electrovac graviational fields. The obtained system is an invariant formulation that allows one to observe directly important properties of type D fields: the presence of the algebraically general Killing spinor, and the complex Killing vector, which gives a binomial group of isometries. An integrable system also allows one to accurately calculate geometric characteristics which describe relative motion of test objects.

• Research Organization: Ukrainian Center for Standardization and Metrology
• OSTI ID: 7014639
• Journal Information: Sov. Phys. J. (Engl. Transl.); (United States), Vol. 28:10
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
GRAVITATIONAL FIELDS
EINSTEIN-MAXWELL EQUATIONS
GENERAL RELATIVITY THEORY
INTEGRAL EQUATIONS
INVARIANCE PRINCIPLES
SPACE-TIME
SPINOR FIELDS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
657003* - Theoretical & Mathematical Physics- Relativity & Gravitation