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We consider variation of energy of the light-like particle in non-covariantform in Riemann space-time, find lagrangian, canonical momenta and forces.Equations of the critical curve are obtained by the nonzero energy integralvariation in accordance with principles of the calculus of variations inmechanics. Their solutions are found for metrics of Schwarzschild, FLRW modelfor the flat space and Goedel. For these spaces effective mass of light-likeparticle is established. Relativistic analog of inertial mass for photon isdetermined in central gravity field in empty space.

Application of Lagrange Mechanics for Analysis of the Light-Like Particle Motion in Pseudo-Riemann Space