Perturbative solutions of the f(R)-theory of gravity in a central gravitational field and some applications

Autor: Nguyen Anh Ky, Pham Van Ky, Nguyen Thi Hong Van
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: European Physical Journal C: Particles and Fields, Vol 78, Iss 7, Pp 1-16 (2018)
Druh dokumentu: article
ISSN: 1434-6044
1434-6052
DOI: 10.1140/epjc/s10052-018-6023-6
Popis: Abstract Exact solutions of an f(R) -theory (of gravity) in a static central (gravitational) field have been studied in the literature quite well, but, to find and study exact solutions in the case of a non-static central field are not easy at all. There are, however, approximation methods of finding a solution in a central field which is not necessarily static. It is shown in this article that an approximate solution of an f(R)-theory in a general central field, which is not necessary to be static, can be found perturbatively around a solution of the Einstein equation in the general theory of relativity. In particular, vacuum solutions are found for f(R) of general and some special forms. Further, applications to the investigation of a planetary motion and light’s propagation in a central field are presented. An effect of an f(R)-gravity is also estimated for the SgrA*–S2 system. The latter gravitational system is much stronger than the Sun–Mercury system, thus the effect could be much stronger and, thus, much more measurable.
Databáze: Directory of Open Access Journals
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