Initial value problem for radiating space-times

Journal Article · Sun Jun 01 04:00:00 EDT 1986 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(86)90165-X· OSTI ID:5408333

Stumbles, S

The question of linearisation stability of the constraint equations for asymptotically simple space-times is examined, with the data given on a hypersurface of constant mean extrinsic curvature. It is shown that there exist solutions of the constraint equations. These solutions correspond to initial data lying in a functional neighbourhood of the solution corresponding to the data given by the intrinsic and extrinsic curvature tensors of a hyperboloid in Minkowski space. The linearized equations are examined and it is shown explicitly how these may be solved in terms of Green's functions.

• Research Organization: D.A.M.T.P., Silver Street, Cambridge, CB3 9EW, England
• OSTI ID: 5408333
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 169:1; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUNDARY-VALUE PROBLEMS
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
FUNCTIONS
GRAVITATIONAL RADIATION
GREEN FUNCTION
MATHEMATICAL SPACE
MINKOWSKI SPACE
RADIATIONS
SPACE
SPACE-TIME