Linear perturbations in spherically symmetric dust cosmologies including a cosmological constant

We study the dynamical behaviour of gauge-invariant linear perturbations in spherically symmetric dust cosmologies including a cosmological constant. In contrast to spatially homogeneous FLRW models, the reduced degree of spatial symmetry causes a non-trivial dynamical coupling of gauge-invariant qu...

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Bibliographic Details
Main Authors: Meyer, Sven (Author) , Bartelmann, Matthias (Author)
Format: Article (Journal)
Language:English
Published: 12 December 2017
In: Journal of cosmology and astroparticle physics
Year: 2017, Issue: 12
ISSN:1475-7516
DOI:10.1088/1475-7516/2017/12/025
Online Access:Verlag, Volltext: http://dx.doi.org/10.1088/1475-7516/2017/12/025
Verlag, Volltext: http://stacks.iop.org/1475-7516/2017/i=12/a=025
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Author Notes:Sven Meyer, Matthias Bartelmann
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Summary:We study the dynamical behaviour of gauge-invariant linear perturbations in spherically symmetric dust cosmologies including a cosmological constant. In contrast to spatially homogeneous FLRW models, the reduced degree of spatial symmetry causes a non-trivial dynamical coupling of gauge-invariant quantities already at first order perturbation theory and the strength and influence of this coupling on the spacetime evolution is investigated here. We present results on the underlying dynamical equations augmented by a cosmological constant and integrate them numerically. We also present a method to derive cosmologically relevant initial variables for this setup. Estimates of angular power spectra for each metric variable are computed and evaluated on the central observer's past null cone. By comparing the full evolution to the freely evolved initial profiles, the coupling strength will be determined for a best fit radially inhomogeneous patch obtained in previous works (see [1]). We find that coupling effects are not noticeable within the cosmic variance limit and can therefore safely be neglected for a relevant cosmological scenario. On the contrary, we find very strong coupling effects in a best fit spherical void model matching the distance redshift relation of SNe which is in accordance with previous findings using parametric void models.
Item Description:Gesehen am 30.10.2018
Physical Description:Online Resource
ISSN:1475-7516
DOI:10.1088/1475-7516/2017/12/025