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