6533b827fe1ef96bd1287153

RESEARCH PRODUCT

Exact spherically-symmetric inhomogeneous model withnperfect fluids

Valerio MarraValerio MarraValerio MarraMikko PääkkönenMikko Pääkkönen

subject

High Energy Physics - TheoryPhysicsCosmology and Nongalactic Astrophysics (astro-ph.CO)010308 nuclear & particles physicsDark matterFOS: Physical sciencesExact differential equationAstronomy and AstrophysicsGeneral Relativity and Quantum Cosmology (gr-qc)Astrophysics::Cosmology and Extragalactic AstrophysicsCosmological constant01 natural sciencesGeneral Relativity and Quantum CosmologySymmetry (physics)CosmologyClassical mechanicsHigh Energy Physics - Theory (hep-th)Speed of sound0103 physical sciencesDark energyCosmological perturbation theory010303 astronomy & astrophysicsAstrophysics - Cosmology and Nongalactic Astrophysics

description

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.

https://doi.org/10.1088/1475-7516/2012/01/025