Models of gravity with variable G and Lambda have acquired greater relevance after the recent evidence in favour of the Einstein theory being non-perturbatively renormalizable in the Weinberg sense. The present paper applies the Arnowitt– Deser–Misner (ADM) formalism to such a class of gravitational models. A 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 φ**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.

Arnowitt-Deser-Misner gravity with variable G and Lambda and fixed point cosmologies from the renormalization group

RUBANO, CLAUDIO
Ultimo
;
G. ESPOSITO
Secondo
2004

Abstract

Models of gravity with variable G and Lambda have acquired greater relevance after the recent evidence in favour of the Einstein theory being non-perturbatively renormalizable in the Weinberg sense. The present paper applies the Arnowitt– Deser–Misner (ADM) formalism to such a class of gravitational models. A 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 φ**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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11588/6761
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