Planet precession and light deflection in general relativity and Brans-Dicke's theory of gravitation

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  • School of Physics,Guizhou University,Guiyang,Guizhou 550025,China

Received date: 2018-05-24

  Revised date: 2018-10-17

  Online published: 2019-03-28

Abstract

As two important alternative theories of gravitation,general relativity and Brans-Dicke's theory,

play important roles in our understanding the formation and evolution of celestial bodies and cosmology. In this

paper,we study the planet precession and light deflection in general relativity and Brans-Dicke's theory. Firstly,

we derive the general orbital equation for a free particle moving in the static,spherically symmetric spacetime by a

spherical star. Then,we write down the corresponding equations,which are nonlinear ordinary differential equations

  of motion for the planet and light ray by using the spherically symmetric solutions to these vacuum field equations in

  these two theories. Finally,the approximation solutions to the equations of motion can be obtained by the

  perturbation method,which yield the angles corresponding to the planet precession and light deflection. These

  results presented in this paper will help us to check and distinguish these two theories of gravity using high -

  precision experimental observation.

Cite this article

GAO Xiao-jun, YANG Jin-song . Planet precession and light deflection in general relativity and Brans-Dicke's theory of gravitation[J]. College Physics, 2019 , 38(2) : 17 -24 . DOI: 10.16854 /j.cnki.1000-0712.180302.

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