Interacting dark sector with transversal interaction

The observed galaxy power spectrum acquires relativistic corrections from lightcone effects, and these corrections grow on very large scales. Future galaxy surveys in optical, infrared and radio bands will probe increasingly large wavelength modes and reach higher redshifts. In order to exploit the new data on large scales, an accurate analysis requires inclusion of the relativistic effects. This is especially the case for primordial non-Gaussianity and for extending tests of dark energy models to horizon scales. Here we investigate the latter, focusing on models where the dark energy interacts non-gravitationally with dark matter. Interaction in the dark sector can also lead to large-scale deviations in the power spectrum. If the relativistic effects are ignored, the imprint of interacting dark energy will be incorrectly identified and thus lead to a bias in constraints on interacting dark energy on very large scales.

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“…where we used (37), (41) and (40) in the Poisson equation (12), and the fact thatQ x /ρ x = −Ω mQm /(Ω xρm ). In ΛCDM, by (43),…”

Section: A Linear Growth Functionsmentioning

confidence: 99%

Probing the imprint of interacting dark energy on very large scales

2015

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“…Unlike barotropic matter, the Chaplygin gas satisfies an exotic equation of state ,

p = - \frac{A}{μ^{α}}, A \in R, 0 < α \leq 1,

where

A < 0

describes an anti‐Chaplygin gas, and

A > 0

describes a Chaplygin gas. Finite‐time singularities as described above have been studied a number of times in the literature in the context of Chaplygin gas universes .…”

Section: Flrw Models With a Chaplygin Gasmentioning

confidence: 99%

The osgood criterion and finite‐time cosmological singularities

Kohli

2016

Annalen der Physik

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In this paper, we apply Osgood's criterion from the theory of ordinary differential equations to detect finite-time singularities in a spatially flat FLRW universe in the context of a perfect fluid, a perfect fluid with bulk viscosity, and a Chaplygin and anti-Chaplygin gas. In particular, we applied Osgood's criterion to demonstrate singularity behaviour for Type 0/big crunch singularities as well as Type II/sudden singularities. We show that in each case the choice of initial conditions is important as a certain number of initial conditions leads to finitetime, Type 0 singularities, while other precise choices of initial conditions which depend on the cosmological matter parameters and the cosmological constant can avoid such a finite-time singularity. Osgood's criterion provides a powerful and yet simple way of deducing the existence of these singularities, and also interestingly enough, provides clues of how to eliminate singularities from certain cosmological models.

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Interacting dark sector with transversal interaction

Cited by 2 publications

References 24 publications

Probing the imprint of interacting dark energy on very large scales

Probing the imprint of interacting dark energy on very large scales

The osgood criterion and finite‐time cosmological singularities

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