Anisotropic and inhomogeneous solutions of the Einstein-Boltzmann equations for Friedmann-Robertson-Walker spacetimes

Statistics – Computation

Scientific paper

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Einstein Equations, Relativity, Space-Time Functions, Anisotropy, Computational Astrophysics, Kinetic Theory, Relativistic Theory

Scientific paper

The present study shows how the techniques that yield anisotropic and inhomogeneous solutions of the Einstein-Liouville equations for Friedmann-Robertson-Walker (FRW) spacetimes can be used to demonstrate the existence of anisotropic and inhomogeneous FRW solutions of the Einstein-Boltzmann equations. A possible relativistic kinetic theory basis (and consequently a more self-consistent basis) for tilting imperfect fluid FRW cosmological models, based on a set of phenomenological laws of relativistic thermodynamics, is thus provided.

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