Bijendra Kumar Vishvakarma , Shubham Kala , Sanjay Siwach
{"title":"弦云中巴丁黑洞的强引力透镜效应","authors":"Bijendra Kumar Vishvakarma , Shubham Kala , Sanjay Siwach","doi":"10.1016/j.aop.2025.169957","DOIUrl":null,"url":null,"abstract":"<div><div>We investigate the gravitational lensing by Bardeen black hole in cloud of strings (CoS) in strong field limit. The effect of CoS parameter <span><math><mi>b</mi></math></span> has been outlined in comparison with Bardeen black hole lens. The strong deflection limit coefficients are determined in terms of impact parameter for various values of CoS parameter. We obtain magnification of relativistic images and determine relativistic Einstein rings by using the parameters of two astrophysical black hole lenses <span><math><mrow><mi>S</mi><mi>g</mi><mi>r</mi><msup><mrow><mi>A</mi></mrow><mrow><mo>∗</mo></mrow></msup></mrow></math></span> and <span><math><mrow><mi>M</mi><mn>8</mn><msup><mrow><mn>7</mn></mrow><mrow><mo>∗</mo></mrow></msup></mrow></math></span>. We constrain CoS parameter of Bardeen black hole using EHT observations for these black holes.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"475 ","pages":"Article 169957"},"PeriodicalIF":3.0000,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Strong gravitational lensing by Bardeen black hole in cloud of strings\",\"authors\":\"Bijendra Kumar Vishvakarma , Shubham Kala , Sanjay Siwach\",\"doi\":\"10.1016/j.aop.2025.169957\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We investigate the gravitational lensing by Bardeen black hole in cloud of strings (CoS) in strong field limit. The effect of CoS parameter <span><math><mi>b</mi></math></span> has been outlined in comparison with Bardeen black hole lens. The strong deflection limit coefficients are determined in terms of impact parameter for various values of CoS parameter. We obtain magnification of relativistic images and determine relativistic Einstein rings by using the parameters of two astrophysical black hole lenses <span><math><mrow><mi>S</mi><mi>g</mi><mi>r</mi><msup><mrow><mi>A</mi></mrow><mrow><mo>∗</mo></mrow></msup></mrow></math></span> and <span><math><mrow><mi>M</mi><mn>8</mn><msup><mrow><mn>7</mn></mrow><mrow><mo>∗</mo></mrow></msup></mrow></math></span>. We constrain CoS parameter of Bardeen black hole using EHT observations for these black holes.</div></div>\",\"PeriodicalId\":8249,\"journal\":{\"name\":\"Annals of Physics\",\"volume\":\"475 \",\"pages\":\"Article 169957\"},\"PeriodicalIF\":3.0000,\"publicationDate\":\"2025-02-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annals of Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0003491625000387\",\"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":"Annals of Physics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0003491625000387","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}
Strong gravitational lensing by Bardeen black hole in cloud of strings
We investigate the gravitational lensing by Bardeen black hole in cloud of strings (CoS) in strong field limit. The effect of CoS parameter has been outlined in comparison with Bardeen black hole lens. The strong deflection limit coefficients are determined in terms of impact parameter for various values of CoS parameter. We obtain magnification of relativistic images and determine relativistic Einstein rings by using the parameters of two astrophysical black hole lenses and . We constrain CoS parameter of Bardeen black hole using EHT observations for these black holes.
期刊介绍:
Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance.
The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.