SCHWARZSCHILD–DE SITTER METRIC AND INERTIAL BELTRAMI COORDINATES
SCHWARZSCHILD–DE SITTER METRIC AND INERTIAL BELTRAMI COORDINATES
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DOI：
10.1142/s0217732313501149
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发表时间：
2013-08
影响因子：
1.4
通讯作者：
Li-Feng Sun;M. Yan;Yanping Deng;Wei Huang;Seng Hu
中科院分区：
文献类型：
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作者：
Li-Feng Sun;M. Yan;Yanping Deng;Wei Huang;Seng Hu
在考虑坐标条件的情况下，得到了具有宇宙学常数Λ的爱因斯坦场方程组的Schwarzschild-Beltrami-de Sitter(S-BDS)度规解。简要回顾了德西特不变狭义相对论(DS-SR)和德西特广义相对论(DS-GR，或带有Λ的广义相对论)。Beltrami度规Bμν为DS时空提供了惯性参照系。通过考察1918年以来文献中存在的Schwarzschild-de Sitter(S-DS)度规，我们发现，现有的S-DS度规描述了引力和惯性力的一些混合效应，而不是DS-GR中由“太阳质量”M引起的纯粹的引力效应。本文根据无引力度规的要求，求解了DS-GR的真空爱因斯坦方程。通过这种方法，我们得到了写在惯性Beltrami坐标下的DS-GR的S-BDS解。这是S-DS度规的一种新形式。讨论了它的物理意义和可能的应用。
Under consideration of coordinate conditions, we get the Schwarzschild–Beltrami–de Sitter (S-BdS) metric solution of the Einstein field equations with a cosmological constant Λ. A brief review to the de Sitter invariant special relativity (dS-SR), and de Sitter general relativity (dS-GR, or GR with a Λ) is presented. The Beltrami metric Bμν provides inertial reference frame for the dS-spacetime. By examining the Schwarzschild–de Sitter (S-dS) metric existed in literatures since 1918, we find that the existed S-dS metric describes some mixing effects of gravity and inertial-force, instead of a pure gravity effect arisen from "solar mass" M in dS-GR. In this paper, we solve the vacuum Einstein equation of dS-GR, with the requirement of gravity-free metric . In this way we find S-BdS solution of dS-GR, written in inertial Beltrami coordinates. This is a new form of S-dS metric. Its physical meaning and possible applications are discussed.