Modified gravity versus shear viscosity: Imprints on the scalar matter perturbations

Cosmological scalar perturbation theory studied in the Newtonian gauge depends on two potentials Φ and Ψ . In general relativity (GR), they must coincide ( Φ = Ψ ) in the absence of anisotropic stresses sourced by the energy-momentum tensor. On the other hand, it is widely accepted in the literature...

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Bibliographic Details
Published in:Physical review. D 2018-12, Vol.98 (12), p.1, Article 123522
Main Authors: Barbosa, C. M. S., Velten, H., Fabris, J. C., Ramos, Rudnei O.
Format: Article
Language:English
Subjects:
Cosmology
Evolution
Gravitation
Perturbation theory
Red shift
Relativity
Shear viscosity
Tensors
Viscosity
Viscous fluids
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Summary:Cosmological scalar perturbation theory studied in the Newtonian gauge depends on two potentials Φ and Ψ . In general relativity (GR), they must coincide ( Φ = Ψ ) in the absence of anisotropic stresses sourced by the energy-momentum tensor. On the other hand, it is widely accepted in the literature that potential deviations from GR can be parametrized by Φ ≠ Ψ . The latter feature is therefore present in both GR cosmologies equipped with shear viscous fluids or modified gravity. We study the evolution of scalar matter density perturbations using the redshift-space-distortion-based f ( z ) σ 8 ( z ) data as a tool to differentiate and characterize the imprints of both scenarios. We show that in the f ( z ) σ 8 ( z ) evolution both scenarios yield to completely different imprints in comparison to the standard cosmology. While the current available data are not sensitive to distinguish modified gravity from viscous shear cosmologies, future precise data can be used to break this indistinguishability.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.98.123522