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

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

Mar 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980apj...236..970m&link_type=abstract

Astrophysical Journal, Part 1, vol. 236, Mar. 15, 1980, p. 970-989.

Mathematics

Group Theory

1

Einstein Equations, Relativity, Space-Time Functions, Transformations (Mathematics), Vlasov Equations, Cosmology, Group Theory, Invariance, Red Shift, Schwarzschild Metric, Tensor Analysis

Scientific paper

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 Schwarzschild 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.

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