Quantum equations for massless particles of any spin in curved spacetime

Abstract

Abstract Quantum equations for massless particles of any spin in curved spacetime are presented. These equations can be extended to a global spacetime from the ones derived in a flat spacetime. Here we demonstrate that these equations can be derived also from a scalar Lagrangian, and they form a basis for quantum theory of spins 1 and 2 in in the vicinity of massive objects. The conserved current is calculated by applying Noether theorem and a complete set of commutative observables is determined. The solutions of these equations are considered in a flat Minkowski spacetime and in axially symmetric spacetimes.