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; Bonanno, A.; Esposito, G.. - In: CLASSICAL AND QUANTUM GRAVITY. - ISSN 0264-9381. - STAMPA. - 21:21(2004), pp. 5005-5016. [10.1088/0264-9381/21/21/017]
Arnowitt-Deser-Misner gravity with variable G and Lambda and fixed point cosmologies from the renormalization group
RUBANO, CLAUDIOUltimo
;G. ESPOSITOSecondo
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.File | Dimensione | Formato | |
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