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Title: | Nonrelativistic limit of Einstein-Cartan-Dirac equations |
Authors: | Khanapurkar, Swanand Pradhan, Arnab Dhruv, Vedant Singh, Tejinder P. Dept. of Physics |
Keywords: | General relativity Particles & Fields Gravitation Cosmology Astrophysics TOC-NOV-2018 2018 |
Issue Date: | Nov-2018 |
Publisher: | American Physical Society |
Citation: | Physical Review D, Vol. 98(10). |
Abstract: | We derive the Schrödinger-Newton equation as the nonrelativistic limit of the Einstein-Dirac equations. Our analysis relaxes the assumption of spherical symmetry, made in an earlier work in the literature, while deriving this limit. Since the spin of the Dirac field couples naturally to torsion, we generalize our analysis to the Einstein-Cartan-Dirac equations, again recovering the Schrödinger-Newton equation. |
URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/1354 https://doi.org/10.1103/PhysRevD.98.104027 |
ISSN: | 2470-0010 2470-0029 |
Appears in Collections: | JOURNAL ARTICLES |
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