Baryogenesis in Nonminimally Coupled $f(R)$ Theories

Abstract

We generalize the mechanism for gravitational baryogensis in the context of $f(R)$ theories of gravity, including a nonminimal coupling between curvature and matter. In these models, the baryon asymmetry is generated through an effective coupling between the Ricci scalar curvature and the net baryon current that dynamically breaks Charge Conjugation, Parity and Time Reversal (CPT) invariance. We study the combinations of characteristic mass scales and exponents for both non-trivial functions present in the modified action functional and establish the allowed region for these parameters: we find that very small deviations from General Relativity are consistent with the observed baryon asymmetry and lead to temperatures compatible with the subsequent formation of the primordial abundances of light elements. In particular, we show the viability of a power-law nonminimal coupling function $f_2(R)\sim R^n$ with $0<n\lesssim 0.078$ and determine its characteristic curvature scale.

arXiv comment9 pages, 5 figures

References in corpus (21)

• Planck 2015 results. XIII. Cosmological parameters
• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• f(R) theories
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Inflation
• Extra force in $f(R)$ modified theories of gravity
• Action functionals for relativistic perfect fluids
• Dark Energy Dominance and Cosmic Acceleration in First Order Formalism
• Extended Gravity Theories and the Einstein-Hilbert Action
• Covariant conservation of energy momentum in modified gravities
• Nonminimal coupling of perfect fluids to curvature
• Stationary dark energy: the present universe as a global attractor
• Thermodynamic interpretation of the generalized gravity models with geometry - matter coupling
• Gravitational Baryogenesis
• Inflation model constraints from the Wilkinson Microwave Anisotropy Probe three-year data
• Modified gravity with R-matter couplings and (non-)geodesic motion
• Accelerated expansion from a non-minimal gravitational coupling to matter
• On the non-minimal gravitational coupling to matter
• Baryogenesis in $f(R)$-Theories of Gravity
• Mimicking dark matter in galaxy clusters through a non-minimal gravitational coupling with matter
• Mimicking dark matter through a non-minimal gravitational coupling with matter

Cited by in corpus (21)

• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Baryogenesis in $f(Q,\mathcal{T})$ Gravity
• Gravitational Baryogenesis in Non-Minimal Coupled $f(R,T)$ Gravity
• Baryon Asymmetry from the Generalized Uncertainty Principle
• Big Bang Nucleosynthesis and Entropy Evolution in $f(R,T)$ Gravity
• Generalized Gravitational Baryogenesis of Well-Known $f(T,T_G)$ and $f(T,B)$ Models
• Gravitational baryogenesis in extended teleparallel theories of gravity
• Baryogenesis in $f(R,L_m)$ gravity
• Gravitational baryogenesis models comparison in f(R) Gravity
• Nonminimally Coupled Boltzmann Equation I: Foundations
• Matter-antimatter asymmetry induced by non-linear electrodynamics
• Gravitational baryogenesis in DGP brane cosmology
• ΛCDM suitably embedded in f(R) with a non-minimal coupling to matter
• Gravitational charge production
• Matter-antimatter asymmetry in generalized coupling theories
• Entropies of the various components of the universe
• Gravitational baryogenesis in $F(R)$ gravity's rainbow
• Gravitational baryogenesis beyond the spectator approximation
• Gravitational baryogenesis of cosmological constant dominated universe
• Leptogenesis in exponential $f(R)$ gravity model
• Energy conditions and gravitational baryogenesis in $f(R,\mathcal{R})$ gravity