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Galaxies 2014, 2(2), 275-291; doi:10.3390/galaxies2020275

Quantum Gravity and Cosmological Density Perturbations

1,2,*  and 2
1 Max Planck Institute for Gravitational Physics, Albert Einstein Institute, D-14476 Potsdam, Germany 2 Department of Physics and Astronomy, University of California, Irvine, CA 92697-4575, USA
* Author to whom correspondence should be addressed.
Received: 14 February 2014 / Revised: 10 May 2014 / Accepted: 27 May 2014 / Published: 11 June 2014
(This article belongs to the Special Issue Particle Physics and Quantum Gravity Implications for Cosmology)
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We explore the possible cosmological consequences of a running Newton’s constant, G(⎕), as suggested by the non-trivial ultraviolet fixed point scenario for Einstein gravity with a cosmological constant term. Here, we examine what possible effects a scale-dependent coupling might have on large-scale cosmological density perturbations. Starting from a set of manifestly covariant effective field equations, we develop the linear theory of density perturbations for a non-relativistic perfect fluid. The result is a modified equation for the matter density contrast, which can be solved and thus provides an estimate for the corrections to the growth index parameter, ɤ.
Keywords: quantum gravity; quantum cosmology; renormalization group; quantum infrared effects quantum gravity; quantum cosmology; renormalization group; quantum infrared effects
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Hamber, H.W.; Toriumi, R. Quantum Gravity and Cosmological Density Perturbations. Galaxies 2014, 2, 275-291.

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