Integral equation method for effecting Kinnersley-Chitre transformations

Journal Article · Sun Jul 15 04:00:00 EDT 1979 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.20.362· OSTI ID:5978700

Hauser, I; Ernst, F J

The construction of spinning mass solutions of Einstein's vacuum field equations, which can be obtained by applying Kinnersley-Chitre transformations to known solutions, is facilitated by our discovery of a linear integral equation of the Cauchy type, the solution of which yields directly the generating function F (t) of the Kinnersley-Chitre hierarchy of potentials associated with the transformed spacetime metric.

• Research Organization: Department of Physics, Illinois Institute of Technology, Chicago, Illinois 60616
• OSTI ID: 5978700
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 20:2; ISSN PRVDA
• 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
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
GRAVITATIONAL FIELDS
INTEGRAL EQUATIONS
MATHEMATICAL SPACE
METRICS
MINKOWSKI SPACE
SPACE
SPACE-TIME
TRANSFORMATIONS