Cosmological Density Perturbations with a Scale-Dependent Newton's G

Details Cosmological Density Perturbations with a Scale-Dependent Newton's G Cosmological Density Perturbations with a Scale-Dependent Newton's G

2010-06-27

arxiv.org/abs/1006.5214v1

Phys.Rev.D82:043518,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

54 pages, 4 figures

Scientific paper

10.1103/PhysRevD.82.043518

We explore possible cosmological consequences of a running Newton's constant $ G ( \Box ) $, as suggested by the non-trivial ultraviolet fixed point scenario in the quantum field-theoretic treatment of Einstein gravity with a cosmological constant term. In particular we focus here on what possible effects the scale-dependent coupling might have on large scale cosmological density perturbations. Starting from a set of manifestly covariant effective field equations derived earlier, we systematically develop the linear theory of density perturbations for a non-relativistic, pressure-less fluid. The result is a modified equation for the matter density contrast, which can be solved and thus provides an estimate for the growth index parameter $\gamma$ in the presence of a running $G$. We complete our analysis by comparing the fully relativistic treatment with the corresponding results for the non-relativistic (Newtonian) case, the latter also with a weakly scale dependent $G$.

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