Nonrelativistic limit of Einstein-Cartan-Dirac equations

被引：6

作者：

Khanapurkar, Swanand ^{[1
]}

Pradhan, Arnab ^{[2
]}

Dhruv, Vedant ^{[3
]}

Singh, Tejinder P. ^{[4
]}

机构：

[1] IISER, Pune 411008, Maharashtra, India

[2] IITM, Madras 600036, Tamil Nadu, India

[3] NITK, Surathkal 575025, India

[4] TIFR, Bombay 400005, Maharashtra, India

来源：

PHYSICAL REVIEW D | 2018年 / 98卷 / 10期

关键词：

GENERAL-RELATIVITY; TORSION;

D O I：

10.1103/PhysRevD.98.104027

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We derive the Schrodinger-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 Schrodinger-Newton equation.

引用

页数：15

共 24 条

[1]

[Anonymous], 1922, C. R. Acad. Sci. (Paris)

[2]

De Sabbata V., 1985, Introduction to Gravitation

[3] COMMENTS ON NONLINEAR WAVE EQUATIONS AS MODELS FOR ELEMENTARY PARTICLES [J].