The Study on Particle’s Equations of Motion in the Space-Time with Torsion
作者: 陈方培 ：大连理工大学物理与光电技术学院，辽宁 大连;
Abstract: The process of deriving the particle’s equations of motion in the space-time with torsion can be formulated as the following four steps: first, writing the Lagrangian of matter field and gravitational field for the physical system; second, calculating the energy-momentum tensor density of matter field; third, writing the particle’s momentum, and using the Dirac delta function, the relations between energy-momentum tensor density of the matter field and its particle’s momentum can be found; fourth, considering the Lagrangian symmetry and conservation law of the physical system the relations among energy-momentum tensor density and generalized spin density, and space-time curvature, and torsion can be found. From this relation, the equations of motion for the particle in the space-time with torsion can be derived. In order to clarify some people’s misun-derstanding of the equations of motion for particles in space-time with torsion, we mainly explain the theoretical basis of the above four steps in this article. And this paper will also show that the particle’s equations of motion in general relativity are the special case of particle’s equations of motion in torsional gravity, and the particle’s equations of motion in the special relativity are the special case of particle’s equations of motion in general relativity.
文章引用: 陈方培 (2015) 有挠时空理论中质点运动方程研究。 现代物理， 5， 73-78. doi: 10.12677/MP.2015.54010
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