A T^2-dependent coupling between the derivative of T_mu nu T^mu nu and the baryon current can generate the observed baryon asymmetry in GR and f(R,T^2) gravity, at the cost of fitted parameters.
Consequences of f(R)-theories of gravity on gravitational leptogenesis
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abstract
f(R)-theories of gravity are reviewed in the framework of the matter-antimatter asymmetry in the Universe. The asymmetry is generated by the gravitational coupling of heavy (Majorana) neutrinos with the Ricci scalar curvature. In order that the mechanism works, a time varying non-zero Ricci curvature is necessary. The latter is provided by f(R) cosmology, whose Lagrangian density is of the form {\cal L}(R)\sim f(R). In particular we study the cases f(R)\sim R+\alpha R^n and f(R)\sim R^{1+\epsilon}.
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Baryon asymmetry from higher-order matter contributions in gravity
A T^2-dependent coupling between the derivative of T_mu nu T^mu nu and the baryon current can generate the observed baryon asymmetry in GR and f(R,T^2) gravity, at the cost of fitted parameters.