Covariant Linear Perturbations in a Concordance Model
Viktor Czinner, M\'aty\'as Vas\'uth, \'Arp\'ad Luk\'acs, Zolt\'an, Perj\'es
TL;DR
This paper provides a comprehensive solution for first-order metric and density perturbations in a flat FRW universe with a cosmological constant, using covariant formalism and covering all perturbation modes.
Contribution
It offers the first complete solution for all perturbation modes in a ΛCDM universe using covariant linear perturbation theory.
Findings
Solution includes scalar, vector, and tensor modes.
Results agree with Sachs & Wolfe formalism.
Framework applicable to cosmological perturbation analysis.
Abstract
We present the complete solution of the first order metric and density perturbation equations in a spatially flat (K=0), Friedmann-Robertson-Walker (FRW) universe filled with pressureless ideal fluid, in the presence of cosmological constant. We use covariant linear perturbation formalism and the comoving gauge condition to obtain the field and conservation equations. The solution contains all modes of the perturbations, i.e. scalar, vector and tensor modes, and we show that our results are in agreement with the Sachs & Wolfe metric perturbation formalism.
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