Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-03-30
Class.Quant.Grav. 21 (2004) 5005-5016
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
17 pages, Revtex-4, 2 figures. In the final version, the Hamiltonian analysis has been amended and the presentation has been i
Scientific paper
10.1088/0264-9381/21/21/017
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.
Bonanno Alfio
Esposito Giampiero
Rubano Claudio
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