论文标题

一般相对性,迟缓和汞汞进攻问题的弱场近似

The Weak Field Approximation of General Relativity, Retardation, and the Problem of Precession of the Perihelion for Mercury

论文作者

Yahalom, Asher

论文摘要

在本文中,我们代表了对围绕围绕转移的计算的一种不同的方法,而不是普通教科书中提出的方法。我们不依靠Schwarzschild指标和汉密尔顿雅各比技术来获得我们的结果。取而代之的是,我们使用弱场近似,其优势是我们没有义务使用确定的静态度量,并且可以考虑时间依赖性效果。我们的结果支持Krizek \ cite {Krizek}关于天体参数对汞轨道近调偏移不确定性的显着影响。这种转变被认为是相对论一般理论有效性的基本检验之一。在当前的天体物理界,人们普遍认为,汞的额外相对论转移是其观察到的转移与牛肝机制所预测的差异之间的差异,而这种差异等于每个世纪的43美元$。然而,由于它是由于两个几乎相等的不相等的数字而造成的,因此,它是由相同的算法所带来的。 现实。

In this paper we represent a different approach to the calculation of the perihelion shift than the one presented in common text books. We do not rely on the Schwarzschild metric and the Hamilton Jacobi technique to obtain our results. Instead we use a weak field approximation, with the advantage that we are not obliged to work with a definite static metric and can consider time dependent effects. Our results support the conclusion of Krizek \cite{Krizek} regarding the significant influence of celestial parameters on the indeterminacy of the perihelion shift of Mercury's orbit. This shift is thought to be one of the fundamental tests of the validity of the general theory of relativity. In the current astrophysical community, it is generally accepted that the additional relativistic perihelion shift of Mercury is the difference between its observed perihelion shift and the one predicted by Newtonian mechanics, and that this difference equals $43"$ per century. However, as it results from the subtraction of two inexact numbers of almost equal magnitude, it is subject to cancellation errors. As such, the above accepted value is highly uncertain and may not correspond to reality.

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