A scale-dependent effective action for gravity is introduced and an exact nonperturbative
evolution equation is derived which governs its renormalization group flow. It is invariant …

Einstein's general theory of relativity is the standard theory of gravity, especially where the
needs of astronomy, astrophysics, cosmology and fundamental physics are concerned. As …

Einstein's general theory of relativity is the standard theory of gravity, especially where the
needs of astronomy, astrophysics, cosmology, and fundamental physics are concerned. As …

Homogeneous and isotropic cosmologies of the Planck era before the classical Einstein
equations become valid are studied taking quantum gravitational effects into account. The …

The renormalization group (RG) approach to cosmology is an efficient method for studying
the possible evolution of the cosmological parameters from the point of view of quantum field …

Assuming that quantum Einstein gravity (QEG) is the correct theory of gravity on all length
scales, we use analytical results from nonperturbative renormalization group (RG) equations …

We investigate the holographic dark energy scenario with a varying gravitational constant, in
flat and non-flat background geometry. We extract the exact differential equations …

A renormalization group (RG) improvement of the Einstein-Hilbert action is performed which
promotes Newton's constant and the cosmological constant to scalar functions on …

Some remarkable examples of alternative cosmological theories are reviewed here, ranging
from a compilation of variations on the Standard Model through the more distant quasi …

Higher derivative theory is one of the important models of quantum gravity, renormalizable
and asymptotically free within the standard perturbative approach. We consider the 4-ϵ …