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Non-local gravity effects in cosmological dynamics probed by IceCube/KM3NeT signals and dark matter relic abundance

Salvatore Capozziello, Gaetano Lambiase, Giuseppe Meluccio

Abstract

Non-local gravity terms have a relevant role in determining the cosmological dynamics. Here we consider curvature- and torsion-based cosmological models where non-local terms can be ``scalarised'' and then reduced under the standard of scalar-tensor gravity. In this context, we study the role of non-local cosmology with regards to the recent results reported by the IceCube/KM3NeT experiments, which revealed high-energy astrophysical neutrino fluxes up to energies of $220$\,PeV. Specifically, we consider the four-dimensional operator $y_{αχ}\bar L_αHχ$ in order to explain both the neutrino rate result and the abundance of dark matter in the Universe, provided that the cosmological background evolves according to non-local gravitational field equations. We show that different dynamical systems representing the evolution of the Universe can be highly sensitive to the parameters of non-local gravity at energies probed by IceCube/KM3NeT. In particular, we adopt power law solutions inferred by the existence of Noether symmetries in non-local cosmological models.

Non-local gravity effects in cosmological dynamics probed by IceCube/KM3NeT signals and dark matter relic abundance

Abstract

Non-local gravity terms have a relevant role in determining the cosmological dynamics. Here we consider curvature- and torsion-based cosmological models where non-local terms can be ``scalarised'' and then reduced under the standard of scalar-tensor gravity. In this context, we study the role of non-local cosmology with regards to the recent results reported by the IceCube/KM3NeT experiments, which revealed high-energy astrophysical neutrino fluxes up to energies of \,PeV. Specifically, we consider the four-dimensional operator in order to explain both the neutrino rate result and the abundance of dark matter in the Universe, provided that the cosmological background evolves according to non-local gravitational field equations. We show that different dynamical systems representing the evolution of the Universe can be highly sensitive to the parameters of non-local gravity at energies probed by IceCube/KM3NeT. In particular, we adopt power law solutions inferred by the existence of Noether symmetries in non-local cosmological models.
Paper Structure (9 sections, 57 equations, 1 figure, 1 table)

This paper contains 9 sections, 57 equations, 1 figure, 1 table.

Table of Contents

  1. Introduction
  2. Dynamical Systems from Non-local Gravity Cosmology
  3. The Noether Symmetry Approach to reduce dynamical systems
  4. Curvature non-local gravity
  5. Teleparallel non-local gravity
  6. Teleparallel non-local gravity including a boundary term
  7. Horndeski Gravity
  8. PeV neutrinos in non-local cosmologies
  9. Discussion and conclusions

Figures (1)

  • Figure 1: The parameter space $\Pi$ vs $q$, with $\Pi$ given by Eq. \ref{['Phi']} for non-local cosmological models based on curvature and torsion invariants respectively. The allowed region corresponds to $\Pi\lesssim 1$, with the upper bound given by Eq. \ref{['Phivalue']}. The DM mass is fixed at $m_\chi=1$ PeV, while the scale factor of the Universe evolves as $a(t)\sim t^q$ with $q<1/3$.