arXiv subjects

S. J. Gabriele Gionti

Publications and source records attributed to S. J. Gabriele Gionti.

3 recordsLinked to original sources

arXiv2018

Hamiltonian Analysis of Asymptotically Safe Gravity

Recent results based on renormalization group approaches to Quantum Gravity suggest that the Newton's and cosmological constants should be treated as dynamical variables whose evolution depend on the characteristic energy scale of the system. An open question is how to embed this modified Einstein's theory in the Dirac constrained dynamics. In this work, the Hamiltonian formalism for a renormalization-group scale dependent Einstein-Hilbert action is discussed paying particular attention to Dirac's constraint analysis. It is shown that the algebra of the Dirac's constraints, in some cases, is closed. Applications to the physics of the Early Universe are explicitly discussed assuming the framework of Asymptotic Safety. In particular, it is shown that in the minisuperspace with FLRW metric, RG-improved Friedmann equations have bouncing and emergent Universes solutions also for flat and negative curvature.

gr-qc↗

arXiv2016

String duality transformations in $f(R)$ gravity from Noether symmetry approach

We select $f(R)$ gravity models that undergo scale factor duality transformations. As a starting point, we consider the tree-level effective gravitational action of bosonic String Theory coupled with the dilaton field. This theory inherits the Busher's duality of its parent String Theory. Using conformal transformations of the metric tensor, it is possible to map the tree-level dilaton-graviton string effective action into $f(R)$ gravity, relating the dilaton field to the Ricci scalar curvature. Furthermore, the duality can be framed under the standard of Noether symmetries and exact cosmological solutions are derived. Using suitable changes of variables, the string-based $f(R)$ Lagrangians are shown in cases where the duality transformation becomes a parity inversion.

gr-qc↗

arXiv2014

Comparing Double String Theory Actions

Aimed to a deeper comprehension of a manifestly T-dual invariant formulation of string theory, in this paper a detailed comparison between the non-covariant action proposed by Tseytlin and the covariant one proposed by Hull is done. These are obtained by making both the string coordinates and their duals explicitly appear, on the same foot, in the world-sheet action, so "doubling" the string coordinates along the compact dimensions. After a discussion of the nature of the constraints in both the models and the relative quantization, it results that the string coordinates and their duals behave like "non-commuting" phase space type coordinates but their expressions in terms of Fourier modes generate the oscillator algebra of the standard bosonic string formulation. A proof of the equivalence of the two formulations is given. Furthermore, open-string solutions are also discussed.

hep-th↗