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arXiv · 1804.11334

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

Swanand Khanapurkar·Abhinav Varma·Nehal Mittal·Navya Gupta·Tejinder P. Singh
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Abstract

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.

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Swanand Khanapurkar, Abhinav Varma, Nehal Mittal, Navya Gupta, Tejinder P. Singh. 2018-04-30. Einstein-Cartan-Dirac equations in the Newman-Penrose formalism. https://doi.org/10.1103/physrevd.98.064046

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