Intrinsic problems of gravitational baryogenesis

Abstract

Modification of gravity due to the curvature dependent term in the gravitational baryogenesis scenario is considered. It is shown that this term leads to the fourth order differential equation of motion for the curvature scalar instead of the algebraic one of General Relativity (GR). The fourth order gravitational equations are generically unstable with respect to small perturbations. Non-linear in curvature terms may stabilize the solution but the magnitude of the stabilized curvature scalar would be much larger than that dictated by GR, so the standard cosmology would be strongly distorted.

7 pages. Accepted for publication in Phys. Lett. B. Some explanatory remarks to comply with the referee report are included and one reference is added

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• Baryogenesis in $f(R)$-Theories of Gravity
• Gauss-Bonnet Gravitational Baryogenesis
• A Note on Gravitational Baryogenesis
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Cited by in corpus (11)

• Gravitational baryogenesis models comparison in f(R) Gravity
• The Early-time Cosmology with Stiff Era from Modified Gravity
• Gravitational Baryogenesis in Running Vacuum models
• Baryogenesis through Asymmetric Hawking Radiation from Primordial Black Holes as Dark Matter
• Gravitational baryogenesis without CPT violation
• Instability of gravitational baryogenesis with fermions
• Pendulum Leptogenesis
• Thermodynamics of the Primordial Universe
• Spontaneous and Gravitational Baryogenesis
• Gravitational baryogenesis beyond the spectator approximation
• Matter-antimatter asymmetry and other cosmological puzzles via running vacuum cosmologies