光子绕时变球形质量分布运动的广义相对论方程

W. Lumbi, I. I. Ewa
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引用次数: 2

摘要

摘要本文将史瓦西度规进行扩展,得到了质量随时间变化的球形分布之外的引力场的广义度规。推导了光子绕时变球面质量分布运动的爱因斯坦方程。所得到的二阶微分方程是对史瓦西场运动方程的修正。它引入了光子在该场中的运动对时变球体外的牛顿标量势的独特依赖。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
General Relativistic Equation of Motion for a Photon Moving Round a Time Varying Spherical Distribution of Mass
Abstract In this article, Schwarzschild metric is extended to obtain a generalized metric for the gravitational field exterior to time varying spherical distributions of mass. Einstein’s equation for photon moving round a time varying spherical distribution of mass is derived. The second-order differential equation obtained is a modification of the equation of motion in Schwarzschild field. It introduces a unique dependence of the motion of the photon in this field on Newton’s scalar potential exterior to time varying spherical bodies.
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