Exact spherically-symmetric inhomogeneous model with n perfect fluids

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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31 pages, 11 figures; matches version accepted for publication in JCAP; added application to clustering dark energy, compariso

Scientific paper

10.1088/1475-7516/2012/01/025

We present the exact equations governing the dynamics of a spherically-symmetric inhomogeneous model with n decoupled and non-comoving perfect fluids. Thanks to the use of physically meaningful quantities we write the set of 3+2n equations in a concise and transparent way. The n perfect fluids can have general equations of state, thus making the model extremely flexible to study a large variety of cosmological and astrophysical problems. As applications we consider a model sourced by two non-comoving dust components and a cosmological constant, and a model featuring dust and a dark energy component with negligible speed of sound.

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