The phase-space view of non-local gravity cosmology

Capozziello S. DAgostino R. Luongo O.
10 November 2022 Elsevier B.V.

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
2022 #834

We consider non-local Integral Kernel Theories of Gravity in a homogeneous and isotropic universe background as a possible scenario to drive the cosmic history. In particular, we investigate the cosmological properties of a gravitational action containing the inverse dAlembert operator of the Ricci scalar proposed to improve Einsteins gravity at both high and low-energy regimes. In particular, the dynamics of a physically motivated non-local exponential coupling is analyzed in detail by recasting the cosmological equations as an autonomous system of first-order differential equations with dimensionless variables. Consequently, we study the phase-space domain and its critical points, investigating their stability and main properties. In particular, saddle points and late-time cosmological attractors are discussed in terms of the free parameters of the model. Finally, we discuss the main physical consequences of our approach in view of dark energy behavior and the ΛCDM model.

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Dipartimento di Fisica “E. Pancini”, Università di Napoli “Federico II”, Via Cinthia 9, Napoli, 80126, Italy
Scuola Superiore Meridionale, Largo S. Marcellino 10, Napoli, 80138, Italy
Istituto Nazionale di Fisica Nucleare (INFN), Sez. di Napoli, Via Cinthia 9, Napoli, 80126, Italy
Dipartimento di Matematica, Università di Pisa, Largo B. Pontecorvo, Pisa, 56127, Italy
Università di Camerino, Divisione di Fisica, Via Madonna delle carceri, Camerino, 62032, Italy
NNLOT, Al-Farabi Kazakh National University, Al-Farabi av. 71, Almaty, 050040, Kazakhstan

Dipartimento di Fisica “E. Pancini”
Scuola Superiore Meridionale
Istituto Nazionale di Fisica Nucleare (INFN)
Dipartimento di Matematica
Università di Camerino
NNLOT

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