Dirac equation in Newman Penrose formalism: separation in Schwarzschild space time with torsion
The Dirac equation, previously formulated in a general space time with torsion by the Newman Penrose formalism, is considered in the context of the Schwarzschild space time with torsion. Based on a suitable null tetrad frame, the equation is separated by a variable separation method. The separated angular equations are integrated. The separated radial dependence is reduced, on the base of elementary properties of the solutions, to the solution of a single non linear one dimensional differential equation in the wave function and in its complex conjugate.
Authors
- Antonio Zecca
Publication Details
- Journal
- Advanced Studies in Theoretical Physics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.12988/astp.2025.92247
- Primary Topic
- Relativity and Gravitational Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00