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

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
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Dirac equation in Newman Penrose formalism: separation in Schwarzschild space time with torsion

Antonio Zecca
Advanced Studies in Theoretical Physics
Relativity and Gravitational Theory
article

Dirac equation in Newman Penrose formalism: separation in Schwarzschild space time with torsion

Antonio Zecca
article en

Abstract

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.

Advanced Studies in Theoretical PhysicsVol. 19(2)
Openalex Percentile: Top 95%
Relativity and Gravitational Theory
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Dirac equation in Newman Penrose formalism: separation in Schwarzschild space time with torsion — Antonio Zecca · Advanced Studies in Theoretical Physics (2025) | TGRS Research Map | TGRS