Arnowitt-Deser-Misner gravity with variable G and Lambda and fixed point cosmologies from the renormalization group
Abstract
Models of gravity with variable G and Lambda have acquired greater relevance after the recent evidence in favour of the Einstein theory being nonperturbatively renormalizable in the Weinberg sense. The present paper applies the Arnowitt-Deser-Misner (ADM) formalism to such a class of gravitational models. Are modified action functional is then built which reduces to the Einstein-Hilbert action when G is constant, and leads to a power-law growth of the scale factor for pure gravity and for a massless Phi**4 theory in a Universe with Robertson-Walker symmetry, in agreement with the recently developed fixed-point cosmology. Interestingly, the renormalization-group flow at the fixed point is found to be compatible with a Lagrangian description of the running quantities G and Lambda.
Cite
@article{arxiv.gr-qc/0403115,
title = {Arnowitt-Deser-Misner gravity with variable G and Lambda and fixed point cosmologies from the renormalization group},
author = {Alfio Bonanno and Giampiero Esposito and Claudio Rubano},
journal= {arXiv preprint arXiv:gr-qc/0403115},
year = {2014}
}
Comments
17 pages, Revtex-4, 2 figures. In the final version, the Hamiltonian analysis has been amended and the presentation has been improved