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Quantum equations for massless particles of any spin in curved spacetime
Author(s) -
A. Moalem,
A. Gersten
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1239/1/012018
Subject(s) - minkowski space , spacetime , spacetime symmetries , physics , maxwell's equations in curved spacetime , quantum field theory in curved spacetime , stationary spacetime , noether's theorem , spacetime topology , mathematical physics , causal sets , massless particle , scalar (mathematics) , linearized gravity , classical mechanics , quantum spacetime , quantum gravity , quantum , quantum mechanics , lagrangian , mathematics , geometry
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.

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