Einstein-Cartan-Dirac equations in the Newman-Penrose formalism
Autor: | Khanapurkar, Swanand, Varma, Abhinav, Mittal, Nehal, Gupta, Navya, Singh, Tejinder P. |
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Rok vydání: | 2018 |
Předmět: | |
Zdroj: | Phys. Rev. D 98, 064046 (2018) |
Druh dokumentu: | Working Paper |
DOI: | 10.1103/PhysRevD.98.064046 |
Popis: | We formulate the Einstein-Cartan-Dirac equations in the Newman-Penrose (NP) formalism, thereby presenting a more accurate and explicit analysis of previous such studies. The equations show in a transparent way how the Einstein-Dirac equations are modified by the inclusion of torsion. In particular, the Hehl-Datta equation is presented in NP notation. We then describe a few solutions of the Hehl-Datta equation on Minkowski space-time, and in particular report a solitonic solution which removes the unphysical behavioiur of the corresponding Dirac solution. The present work serves as a prelude to similar studies for non-degenerate Poincare gauge gravity. Comment: 32 pages, 4 figures, Section 5.4 on plane waves rewritten |
Databáze: | arXiv |
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