2016
DOI: 10.1103/physrevd.94.064021
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Big-bounce cosmology in the presence of Immirzi field

Abstract: The Immirzi parameter is promoted to be a scalar field and the Hamiltonian analysis of the corresponding dynamical system is performed in the presence of gravity. We identified some SU (2) connections, generalizing Ashtekar-Barbero variables, and we rewrite the constraints in terms of them, setting the classical formulation suitable for loop quantization. Then, we consider the reduced system obtained when restricting to a flat isotropic cosmological model. By mimicking loop quantization via an effective semicl… Show more

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Cited by 31 publications
(45 citation statements)
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“…We conclude this section noting that the same results could be obtained even if we substituted the relations (22) at lagrangean level. Furthermore, to solve simultaneously (25) and (26), assuming that we have solve (24) for R, is in general an highly non-trivial task also for simple f (R) models. It motivated us to seek for simpler scenarios, as those the linearized theory can offer, with the aim of investigating new effects in gravitational waves propagation due to the Immirzi field.…”
Section: Palatini Approach To F (R) Theoriesmentioning
confidence: 99%
“…We conclude this section noting that the same results could be obtained even if we substituted the relations (22) at lagrangean level. Furthermore, to solve simultaneously (25) and (26), assuming that we have solve (24) for R, is in general an highly non-trivial task also for simple f (R) models. It motivated us to seek for simpler scenarios, as those the linearized theory can offer, with the aim of investigating new effects in gravitational waves propagation due to the Immirzi field.…”
Section: Palatini Approach To F (R) Theoriesmentioning
confidence: 99%
“…The situation is significatively different when the full quantum analysis is carried out, because the classical link to the coordinate time is lost. As an example of such a difference, we remark how using the scalar field as a quantum clock is a very peculiar choice [39], see also [50]. Indeed, it leads to a divergence of the cosmic scale factor of the isotropic universe for a finite value of the scalar field.…”
Section: Big Bounce and Absence Of Chaosmentioning
confidence: 99%
“…When f (R) = R, action (18) resembles for β constant the Nieh-Yan action usually adopted in Loop Quantum Gravity, and the Immirzi parameter rules a total divergence that does not affect classically the equations of motion. However, as stressed in [26,29,30], if β is space-time dependent, it behaves as a source of torsion and the theory can be reformulated as General Relativity in the presence of a minimally coupled massless scalar field. Therefore, if we keep f (R) = R generic, we expect that both types of torsion could generate a dynamic larger framework with respect to (16), by virtue of the non trivial coupling between the Immirzi field and the gravitational degrees of freedom (d.o.f).…”
Section: The Nieh-yan F (R) Modelmentioning
confidence: 99%
“…with dot denoting time derivative, while combining the equation for the ii component with (29) we get the acceleration equation a a = − χ 6φ ρ + ρ e f f + 3(P + P e f f ) , (30) where we introduced the effective energy density and pressure given by, respectively:…”
Section: Modified Friedmann Equationmentioning
confidence: 99%
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