Einstein-Cartan-Dirac equations in the Newman-Penrose formalism

Autor:	Khanapurkar, Swanand, Varma, Abhinav, Mittal, Nehal, Gupta, Navya, Singh, Tejinder P.
Rok vydání:	2018
Předmět:	General Relativity and Quantum Cosmology High Energy Physics - Theory Quantum Physics
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
Externí odkaz:	http://arxiv.org/abs/1804.11334 Zobrazit plný text záznamu View this record from Arxiv