Statistics – Computation
Scientific paper
Apr 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apj...353....1h&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 353, April 10, 1990, p. 1-20. Research supported by the Texas Advanced Rese
Statistics
Computation
70
Computational Astrophysics, Cosmology, Covariance, Galactic Evolution, Perturbation Theory, Density Distribution, Harmonic Analysis, Relativity
Scientific paper
This paper presents a complete set of equations using the covariant approach to the linear analysis of cosmological perturbations in general relativity without fixing gauges and by using gauge-invariant variables. In addition, Hawking's (1966) analysis of the evolution of vorticity and Jackson's analysis of the density evolution equation are extended to include the effects of an imperfect fluid in exact covariant form. The error in Hawking's covariant analysis is corrected, and the result is compared with other approaches using different gauges. In addition, the Ellis and Bruni (1989) equations are extended to the case of an imperfect fluid. An explicit solution for the evolution of large-scale cosmological density perturbations is presented, assuming a perfect fluid, but making no other restrictions on the background cosmological model.
Hwang Jai-chan
Vishniac Ethan T.
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