Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-02-11
Gen.Rel.Grav. 36 (2004) 2481-2495
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
15 pages, 2 figures. Revised version contains more references. Accepted for publication in General Relativity and Gravitation
Scientific paper
10.1023/B:GERG.0000046834.79815.
The system consisting of a self gravitating perfect fluid and scalar field is considered in detail. The scalar fields considered are the quintessence and ``tachyonic'' forms which have important application in cosmology. Mathematical properties of the general system of equations are studied including the algebraic and differential identities as well as the eigenvalue structure. The Cauchy problem for both quintessence and the tachyon is presented. We discuss the initial constraint equations which must be satisfied by the initial data. A Cauchy evolution scheme is presented in the form of a Taylor series about the Cauchy surface. Finally, a simple numerical example is provided to illustrate this scheme.
Das Arnab
DeBenedictis Andrew
Kloster Silvia
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