Open AccessMassless particle of any spin in static uncharged spherically symmetric curved spacetimes
Author(s) -
A. Moalem,
A. Gersten
Publication year - 2021
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 - 10.1088/1742-6596/1956/1/012021
Subject(s) - physics , minkowski space , massless particle , mathematical physics , spinor , classical mechanics , spacetime , schwarzschild radius , multipole expansion , spin (aerodynamics) , spherical harmonics , einstein field equations , quantum mechanics , general relativity , thermodynamics
Quantum equations for massless particles of any spin in static spherically symmetric spacetimes, namely, the Minkowski, FRW and Schwarzschild spacetimes are considered. The metrics of all three are diagonal and their corresponding E 2 2 and E 3 3 inverse veirbein fields are identical. Thus the angular wave functions are spherical harmonics spinors corresponding to simple modes specified by orbital angular momenta and their z component. By applying consistently a procedure based on variables separation it is shown that the radial wave functions are second order ordinary differential equations sharing the same homogeneous equation though nonhomogeneous terms are different depending on the characteristic E 0 0 and E 1 1 of each spacetime.