Statistics – Computation
Scientific paper
Jan 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989apj...336...58w&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 336, Jan. 1, 1989, p. 58-60. Research supported by NSERC.
Statistics
Computation
6
Astrophysics, Cosmology, Einstein Equations, Particle Production, Relativistic Theory, Computational Astrophysics, Universe
Scientific paper
The class of solutions of Einstein's equations is considered that is defined by a spherically symmetric metric whose radial coefficient depends on the time and the radius but whose azimuthal coefficient depends only on the time. These solutions are restricted spherically symmetric ones, or alternatively generalized Kantowski-Sachs ones. The perfect-fluid field equations are given in a form suitable for application to cosmology and astrophysics. First integrals and numerical integrations are given for the case of constant (and zero) pressure. And an exact solution is presented that has inhomogeneous density and finite pressure and may be applied to particle production in the early universe.
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