Metric tensor at second perturbation order for spherically symmetric space-times

被引：0
|
作者：
Mendoza, Sergio [1 ]
机构：
[1] Univ Nacl Autonoma Mexico, Inst Astron, AP 70-264, Mexico City 04510, Mexico
来源：
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2023年 / 20卷 / 07期
关键词：
General relativity and gravitation; alternative gravity theories; F(R); GRAVITY;
D O I：
10.1142/S0219887823501074
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
It is shown in this paper, that if the Einstein Equivalence Principle is valid on a particular metric theory of gravitation in a spherically symmetric space-time, then the time metric component is not equal to the negative of the inverse radial one unless the underlying potential is inversely proportional to the radial coordinate. At the weak field limit of approximation, a general formula is calculated and applied to some useful cases.
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页数：8
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