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Exact spherically-symmetric inhomogeneous model with n perfect fluids

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arxiv 1105.6099 v3 pith:NRFIZQCP submitted 2011-05-30 gr-qc astro-ph.COhep-th

classification gr-qcastro-ph.COhep-th
keywords modelequationsfluidsperfectcosmologicaldustexactinhomogeneous
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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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  1. Inhomogeneous model with a space dependent Cosmological Constant

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    An inhomogeneous Lemaitre model with a space-dependent cosmological constant and a unified dark fluid can reproduce the local and early-universe Hubble constants and generates testable predictions for expansion rates ...

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