{"title":"后牛顿时空中的第二次运动","authors":"Wei Gao, Xiaoyan Zhu, Wenbin Lin, Siming Liu","doi":"10.1002/prop.202400236","DOIUrl":null,"url":null,"abstract":"<p>Based on the Sen spacetime, the orbital energy and angular momentum are calculated, and the solution for the motion of a test particle derived to the second post-Newtonian order. The effect of the Sen black hole's charge <span></span><math>\n <semantics>\n <msub>\n <mi>q</mi>\n <mi>m</mi>\n </msub>\n <annotation>$q_{m}$</annotation>\n </semantics></math> on the periastron advance and orbital period is obtained. In particular, it is found that <span></span><math>\n <semantics>\n <msub>\n <mi>q</mi>\n <mi>m</mi>\n </msub>\n <annotation>$q_{m}$</annotation>\n </semantics></math> has an influence on perihelion precession at both the first and second post-Newtonian orders, whereas its effect on the orbital period is confined solely to the second post-Newtonian order. Finally, the precession of the star S2 is used to constrain our model and the value of <span></span><math>\n <semantics>\n <mrow>\n <msub>\n <mi>q</mi>\n <mi>m</mi>\n </msub>\n <mo>/</mo>\n <mi>M</mi>\n </mrow>\n <annotation>$q_m/M$</annotation>\n </semantics></math> is 0.51.</p>","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"73 5","pages":""},"PeriodicalIF":5.6000,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Second Post-Newtonian Motion in Sen Spacetime\",\"authors\":\"Wei Gao, Xiaoyan Zhu, Wenbin Lin, Siming Liu\",\"doi\":\"10.1002/prop.202400236\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Based on the Sen spacetime, the orbital energy and angular momentum are calculated, and the solution for the motion of a test particle derived to the second post-Newtonian order. The effect of the Sen black hole's charge <span></span><math>\\n <semantics>\\n <msub>\\n <mi>q</mi>\\n <mi>m</mi>\\n </msub>\\n <annotation>$q_{m}$</annotation>\\n </semantics></math> on the periastron advance and orbital period is obtained. In particular, it is found that <span></span><math>\\n <semantics>\\n <msub>\\n <mi>q</mi>\\n <mi>m</mi>\\n </msub>\\n <annotation>$q_{m}$</annotation>\\n </semantics></math> has an influence on perihelion precession at both the first and second post-Newtonian orders, whereas its effect on the orbital period is confined solely to the second post-Newtonian order. Finally, the precession of the star S2 is used to constrain our model and the value of <span></span><math>\\n <semantics>\\n <mrow>\\n <msub>\\n <mi>q</mi>\\n <mi>m</mi>\\n </msub>\\n <mo>/</mo>\\n <mi>M</mi>\\n </mrow>\\n <annotation>$q_m/M$</annotation>\\n </semantics></math> is 0.51.</p>\",\"PeriodicalId\":55150,\"journal\":{\"name\":\"Fortschritte Der Physik-Progress of Physics\",\"volume\":\"73 5\",\"pages\":\"\"},\"PeriodicalIF\":5.6000,\"publicationDate\":\"2025-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fortschritte Der Physik-Progress of Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1002/prop.202400236\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fortschritte Der Physik-Progress of Physics","FirstCategoryId":"101","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/prop.202400236","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
摘要
基于Sen时空,计算了轨道能量和角动量,推导出了测试粒子运动的后牛顿二阶解。得到了森黑洞的电荷q m $q_{m}$对其近星推进和轨道周期的影响。特别地,我们发现q m $q_{m}$对近日点进动在一阶和二阶后牛顿阶上都有影响,而它对轨道周期的影响仅局限于二阶后牛顿阶。最后,利用恒星S2的岁差来约束我们的模型,qm / m $q_m/ m $的值为0.51。
Based on the Sen spacetime, the orbital energy and angular momentum are calculated, and the solution for the motion of a test particle derived to the second post-Newtonian order. The effect of the Sen black hole's charge on the periastron advance and orbital period is obtained. In particular, it is found that has an influence on perihelion precession at both the first and second post-Newtonian orders, whereas its effect on the orbital period is confined solely to the second post-Newtonian order. Finally, the precession of the star S2 is used to constrain our model and the value of is 0.51.
期刊介绍:
The journal Fortschritte der Physik - Progress of Physics is a pure online Journal (since 2013).
Fortschritte der Physik - Progress of Physics is devoted to the theoretical and experimental studies of fundamental constituents of matter and their interactions e. g. elementary particle physics, classical and quantum field theory, the theory of gravitation and cosmology, quantum information, thermodynamics and statistics, laser physics and nonlinear dynamics, including chaos and quantum chaos. Generally the papers are review articles with a detailed survey on relevant publications, but original papers of general interest are also published.