Quasiisotropic solution of the Einstein equations near a cosmological singularity for a twofluid cosmological model
Abstract
The quasiisotropic inhomogeneous solution of the Einstein equations near a cosmological singularity in the form of a series expansion in the synchronous system of reference, first found by Lifshitz and Khalatnikov in 1960, is generalized to the case of a twofluid cosmological model. This solution describes nondecreasing modes of adiabatic and isocurvature scalar perturbations and gravitational waves in the regime when deviations of a spacetime metric from the homogeneous isotropic FriedmannRobertsonWalker (FRW) background are large while locally measurable quantities like Riemann tensor components are still close to their FRW values. The general structure of the perturbation series is presented and the first coefficients of the series expansion for the metric tensor and the fluid energy densities and velocities are calculated explicitly.
 Publication:

Journal of Cosmology and Astroparticle Physics
 Pub Date:
 March 2003
 DOI:
 10.1088/14757516/2003/03/001
 arXiv:
 arXiv:grqc/0301119
 Bibcode:
 2003JCAP...03..001K
 Keywords:

 General Relativity and Quantum Cosmology;
 Astrophysics;
 High Energy Physics  Theory
 EPrint:
 some misprints are corrected and references are added, final version to appear in JCAP