Self-similar analysis of Vlasov-Einstein equations in spherical symmetry

Journal Article · Sat Mar 15 04:00:00 EST 1980 · Astrophys. J.; (United States)

DOI:https://doi.org/10.1086/157824· OSTI ID:5259025

Munier, A; Burgan, J R; Feix, M; Fijalkow, E

The Vlasov-Einstein system of equations is studied from the point of view of group transformations. Continuous groups are shown to generalize the usual infinitesimal treatment of the metric tensor to the case of a distribution function. Reduced equations are obtained, leading to a time-dependent analytical solution, which yields as a limiting case the Schwarzchild metric. The problem of a purely radial motion of null particles is discussed and leads to an expression for the redshift in a nonstatic, inhomogeneous spacetime.

• Research Organization: Commissariat a l'Energie Atomique, Centre d'Etudes de Limeil, France
• OSTI ID: 5259025
• Journal Information: Astrophys. J.; (United States), Journal Name: Astrophys. J.; (United States) Vol. 236:3; ISSN ASJOA
• Country of Publication: United States
• Language: English

Related Subjects

640106* -- Astrophysics & Cosmology-- Cosmology
657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOLTZMANN-VLASOV EQUATION
CONFIGURATION
COSMOLOGY
DIFFERENTIAL EQUATIONS
EINSTEIN FIELD EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FIELD EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
METRICS
RED SHIFT
SCHWARZSCHILD METRIC
SPHERICAL CONFIGURATION
SYMMETRY
TENSORS
TRANSFORMATIONS