{"title":"The quasi-Keplerian motion in regular Bardeen spacetime","authors":"Jie Li, Bo Yang, Yu Wang, Wenbin Lin","doi":"10.1007/s10714-023-03166-9","DOIUrl":null,"url":null,"abstract":"<div><p>We present the second post-Newtonian solution for the quasi-Keplerian motion of a test particle in the gravitational field of Bardeen black hole. This solution is formulated in terms of energy and angular momentum of the particle, as well as the black hole’s magnetic charge. The leading effects of the magnetic charge on the test particle’s orbit and motion including perihelion precession are displayed explicitly. In particular, it is shown that the magnetic charge does not have effects on the orbital period when the second post-Newtonian order is considered.\n</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"55 10","pages":""},"PeriodicalIF":2.1000,"publicationDate":"2023-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"General Relativity and Gravitation","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10714-023-03166-9","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 0
Abstract
We present the second post-Newtonian solution for the quasi-Keplerian motion of a test particle in the gravitational field of Bardeen black hole. This solution is formulated in terms of energy and angular momentum of the particle, as well as the black hole’s magnetic charge. The leading effects of the magnetic charge on the test particle’s orbit and motion including perihelion precession are displayed explicitly. In particular, it is shown that the magnetic charge does not have effects on the orbital period when the second post-Newtonian order is considered.
期刊介绍：
General Relativity and Gravitation is a journal devoted to all aspects of modern gravitational science, and published under the auspices of the International Society on General Relativity and Gravitation.
It welcomes in particular original articles on the following topics of current research:
Analytical general relativity, including its interface with geometrical analysis
Numerical relativity
Theoretical and observational cosmology
Relativistic astrophysics
Gravitational waves: data analysis, astrophysical sources and detector science
Extensions of general relativity
Supergravity
Gravitational aspects of string theory and its extensions
Quantum gravity: canonical approaches, in particular loop quantum gravity, and path integral approaches, in particular spin foams, Regge calculus and dynamical triangulations
Quantum field theory in curved spacetime
Non-commutative geometry and gravitation
Experimental gravity, in particular tests of general relativity
The journal publishes articles on all theoretical and experimental aspects of modern general relativity and gravitation, as well as book reviews and historical articles of special interest.
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