arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0712.0440math-phmath.MP
收藏

Finsleroid正则空间:曲率张量,引力史瓦西度规的延拓

Finsleroid-regular space: curvature tensor, continuation of gravitational Schwarzschild metric

G. S. Asanov

摘要:

本文给出了计算Finsleroid正则空间曲率张量的一种简捷方法。本文证明了,当把伪芬斯勒轴矢量场$b_i$一致地处理为时间变量场时,静态球对称体引力场的Schwarzschild度规唯一地推广到芬斯勒域.关键词:芬斯勒度量,引力方程,曲率张量。

英文摘要:

The method of simple straightforward calculation of the curvature tensor of the Finsleroid--regular space is indicated. The Schwarzschild metric which underlines the gravitational field produced by static spherical-symmetric body is shown to be uniquely extended to the Finslerian domain upon a consistent treatment of the pseudo-Finsleroid axis vector field $b_i$ to be the field of the time variable. Keywords: Finsler metrics, gravitational equations, curvature tensors.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑