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In this work we review the theories of origin of matter-antimatter asymmetryin the Universe. The general conditions for achieving baryogenesis andleptogenesis in a CPT conserving field theory have been laid down by Sakharov.In this review we discuss scenarios where a background scalar or gravitationalfield spontaneously breaks the CPT symmetry and splits the energy levelsbetween particles and anti-particles. Baryon or Lepton number violatingprocesses in proceeding at thermal equilibrium in such backgrounds gives riseto Baryon or Lepton number asymmetry.

Neutrino coupling to cosmological background: A review on gravitational Baryo/Leptogenesis