10 citations · 24 across the 9 of their papers we have counts for
8 papers · 1 filter
Lecture Notes in Loop Quantum Gravity. LN4: Hamiltonian framework
Lorenzo Fatibene, Marco Ferraris, Andrea Orizzonte
We discuss a covariant setting for Hamiltonian formalism in a relativistic field theory and we use this to obtain again the properties of Hamilton principal functional in Newtonian…
Lecture Notes in Loop Quantum Gravity. LN3: Boundary equations for Ashtekar-Barbero-Immirzi model
L. Fatibene, A. Orizzonte
We shall here perform the canonical analysis of field equations of ABI model in order to determine constraint equations. We shall show that one can use algebraic constraints in the…
Lecture Notes in Loop Quantum Gravity. LN2: Cauchy problems and pre-quantum states
S. Coriasco, L. Fatibene, S. Garruto +1
We discuss the structure of covariant equations, relating analytical properties of solutions to algebraic properties of the corresponding differential operator, specifically of its…
Introduction to Loop Quantum Gravity. The Holst's action and the covariant formalism
L. Fatibene, A. Orizzonte, A. Albano +4
We review Holst formalism and we discuss dynamical equivalence with standard GR (in dimension 4). Holst formalism is written for a spin coframe field and a -conn…
The effective Equation of State in Palatini cosmology
S. Camera, S. Capozziello, L. Fatibene +1
We investigate how the cosmological Equation of State can be used for scrutinizing extended theories of gravity, in particular, the Palatini gravity. Specifically, the appro…
Barbero--Immirzi--Holst Lagrangian with Spacetime Barbero--Immirzi Connections
Andrea Orizzonte
We carry out the complete variational analysis of the Barbero--Immirzi--Holst Lagrangian, which is the Holst Lagrangian expressed in terms of the triad of fields , where…
Solar System Tests in Brans-Dicke and Palatini f(R)-theories
Alice Bonino, Stefano Camera, Lorenzo Fatibene +1
We compare Mercury's precession test in standard General Relativity (GR), Brans-Dicke theories (BD), and Palatini f(R)-theories. We avoid post Newtonian (PN) approximation and comp…
The generally covariant meaning of space distances
Salvatore Capozziello, Alice Chiappini, Lorenzo Fatibene +1
We propose a covariant and geometric framework to introduce space distances as they are used by astronomers. In particular, we extend the definition of space distances from the one…