MG11 
Talk detail
 

 Participant 

Institution

Session

Talk

Abstract

On relativistic equations of motion unambiguity problem in GR

The problem of unambiguity relativistic equations of body motion is very important in the problem of motion in GR. As a rule, equations of translational and rotary motions of bodies obtained from Einstein’s equation by different authors with different methods are varied from each other. Practical astronomers expect from theorists correct and unambiguous relativistic equations of body motion. The present report shows that it’s sufficient to prove the unambiguity of equations of translational motion of bodies, and unambiguity of rotational motion equations follows from this automatically [1]. 1. M.M.Abdil’din. Bodies motion problem in General Relativity. Almaty, 2006. - 152 p.

On the series convergence of metric tensor components

By Fock method metrics of rotating liquid sphere was obtained [1] \begin{eqnarray*} ds^2=\left[c^2-2U\left(1+\frac{\xi_0}{m_0c^2}\right)+\frac{2U^2}{c^2}-\frac{4\gamma {S_0\,^2}}{7m_0c^2r^3}(1-3\cos^2\theta)\right]dt^2-\\-\left(1+\frac{2U}{c^2}\right) \left(dr^2+r^2d\theta^2+r^2\sin^2\theta d\varphi^2\right)+\frac{4\gamma S_0}{c^2r}\sin^2\theta d\varphi dt, \end{eqnarray*} (1) where S_0 – angular momentum of rotating body. Further the report discusses a question concerning expansion convergence for g_00 in expression analogous to Kerr’s metrics. 1. M.M.Abdil’din. Bodies motion problem in General Relativity. Almaty, 2006. – 152 p.