Planar numerical cosmology. I - The differential equations

Details Planar numerical cosmology. I - The differential equations Planar numerical cosmology. I - The differential equations

Oct 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983apj...273..428c&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 273, Oct. 15, 1983, p. 428-435. Research supported by the University of Tex

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Astronomical Models, Cosmology, Differential Equations, Computational Fluid Dynamics, Einstein Equations, Gravitational Fields

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This paper is the first in a series describing a method for evolving planar cosmological models on a computer. In this paper, the coordinate conditions and variables are set forth, and the way the special gauge here simplifies the numerical evolution is discussed. The Einstein equations that govern the gravitational field in these cosmologies are written down, as are the hydrodynamical equations for the fluid sources. Later papers in this series will present the differencing of these equations, tests of the code, and evolutions of dynamical inhomogeneous cosmological models.

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