{"title":"带电弦状黑洞周围的大质量带电粒子对时空和电磁场的扰动","authors":"Uktamov Uktamjon, Bakhtiyor Narzilloev, Bobomurat Ahmedov","doi":"10.1140/epjp/s13360-024-05709-8","DOIUrl":null,"url":null,"abstract":"<div><p>This study investigates properties of static, electrically charged black hole within string theory using the non-rotating case of the Kerr–Sen solution. We derive the equilibrium condition for a test particle outside the black hole and examine perturbations via the combined Einstein–Maxwell equations. We extend the analysis to the extreme case, where the black hole’s electric charge reaches <span>\\(\\sqrt{2}\\)</span> times of its mass. Formulating and solving perturbation equations for both extreme and non-extreme cases, we obtain and graph numerical solutions for the perturbation function <i>L</i>(<i>r</i>) in comparison with the standard Reissner–Nordström solution. We show that these two solutions behave identically at large distances, starting from the orbit of the perturbing source. Considerable difference can be observed only in the region between this orbit and the central black hole. These results provide insights into the influence of source mass and electric charge on perturbation behavior, contributing to our understanding of charged stringy black holes and paving the way for further investigations into their stability.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":null,"pages":null},"PeriodicalIF":2.8000,"publicationDate":"2024-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Perturbation of spacetime and electromagnetic field due to massive charged particle around electrically charged stringy black hole\",\"authors\":\"Uktamov Uktamjon, Bakhtiyor Narzilloev, Bobomurat Ahmedov\",\"doi\":\"10.1140/epjp/s13360-024-05709-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This study investigates properties of static, electrically charged black hole within string theory using the non-rotating case of the Kerr–Sen solution. We derive the equilibrium condition for a test particle outside the black hole and examine perturbations via the combined Einstein–Maxwell equations. We extend the analysis to the extreme case, where the black hole’s electric charge reaches <span>\\\\(\\\\sqrt{2}\\\\)</span> times of its mass. Formulating and solving perturbation equations for both extreme and non-extreme cases, we obtain and graph numerical solutions for the perturbation function <i>L</i>(<i>r</i>) in comparison with the standard Reissner–Nordström solution. We show that these two solutions behave identically at large distances, starting from the orbit of the perturbing source. Considerable difference can be observed only in the region between this orbit and the central black hole. These results provide insights into the influence of source mass and electric charge on perturbation behavior, contributing to our understanding of charged stringy black holes and paving the way for further investigations into their stability.</p></div>\",\"PeriodicalId\":792,\"journal\":{\"name\":\"The European Physical Journal Plus\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.8000,\"publicationDate\":\"2024-10-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The European Physical Journal Plus\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1140/epjp/s13360-024-05709-8\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal Plus","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjp/s13360-024-05709-8","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Perturbation of spacetime and electromagnetic field due to massive charged particle around electrically charged stringy black hole
This study investigates properties of static, electrically charged black hole within string theory using the non-rotating case of the Kerr–Sen solution. We derive the equilibrium condition for a test particle outside the black hole and examine perturbations via the combined Einstein–Maxwell equations. We extend the analysis to the extreme case, where the black hole’s electric charge reaches \(\sqrt{2}\) times of its mass. Formulating and solving perturbation equations for both extreme and non-extreme cases, we obtain and graph numerical solutions for the perturbation function L(r) in comparison with the standard Reissner–Nordström solution. We show that these two solutions behave identically at large distances, starting from the orbit of the perturbing source. Considerable difference can be observed only in the region between this orbit and the central black hole. These results provide insights into the influence of source mass and electric charge on perturbation behavior, contributing to our understanding of charged stringy black holes and paving the way for further investigations into their stability.
期刊介绍:
The aims of this peer-reviewed online journal are to distribute and archive all relevant material required to document, assess, validate and reconstruct in detail the body of knowledge in the physical and related sciences.
The scope of EPJ Plus encompasses a broad landscape of fields and disciplines in the physical and related sciences - such as covered by the topical EPJ journals and with the explicit addition of geophysics, astrophysics, general relativity and cosmology, mathematical and quantum physics, classical and fluid mechanics, accelerator and medical physics, as well as physics techniques applied to any other topics, including energy, environment and cultural heritage.