引力的相对论性推广
On Relativistic Generalization of Gravitational Force
摘要：
研究了在1/r引力场中的点粒子问题。在相对论拉格朗日框架下，在依赖于场的固有质量假设下，得到了系统的运动方程。从粒子运动方程推导出固有质量与场强的关系。结果是消除了1/r发散。结果表明，在引力场中的光子可以用折射的无质量介质来描述。这使得引力现象与SR相容。讨论了有关粒子和光子引力性质的新结果。最后得出结论：场依赖的固有质量方法是进一步研究无发散引力场发展的一种有前景的方法。关键词：相对论，引力，粒子，光子，光速，固有质量变分。{ \small \it PACS 03.30.+四点二十分g}
英文摘要：
The problem of point particle in the 1/r gravitational field was studied in SR-based Mechanics. Equations of motion under assumption of field dependent proper mass were obtained in the relativistic Lagrangean framework. The dependence of proper mass on field strength was derived from the equations of particle motion. The result was the elimination of 1/r divergence. It was shown that a photon in a gravitational field may be described in terms of a refracting massless medium. This makes the gravity phenomenon compatible with SR. New results concerning gravitational properties of particle and photon are discussed. The conclusion is made that the approach of field-dependent proper mass is perspective for further studies on divergence-free gravitational field development. Key words: Relativity, gravity, particle, photon, speed of light, proper mass variation. {\small\it PACS 03.30.+p, 04.20.-g}
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