{"title":"Optical signatures of hairy black holes surrounded by plasma: Shadows and weak lensing","authors":"Abduqodir Bakhodirov , Bakhodir Shodikulov , Farruh Atamurotov , Ahmadjon Abdujabbarov , Chen Zhou , Chengxun Yuan","doi":"10.1016/j.dark.2025.102008","DOIUrl":null,"url":null,"abstract":"<div><div>The optical properties around the hairy black hole have been studied in the presence of a plasma medium. The obtained results have shown that the effect of the hairy black hole parameter’s <span><math><mi>a</mi></math></span>, <span><math><msub><mrow><mi>l</mi></mrow><mrow><mi>o</mi></mrow></msub></math></span> and <span><math><mi>Q</mi></math></span> on the deflection angle of light rays around the black hole is perceptible. With an increase in hairs <span><math><mi>a</mi></math></span> and <span><math><msub><mrow><mi>l</mi></mrow><mrow><mi>o</mi></mrow></msub></math></span> of black hole, there is a promotion in the radius of the photon sphere and the radius of the shadow of the central object. However, an increase in primary hair <span><math><mi>Q</mi></math></span> leads to a reduction in the photon sphere and shadow of the hairy black hole, and the effect of plasma on the deflection angle is the opposite. Here, we discuss different types of plasma distributions: uniform <span><math><mrow><msub><mrow><mi>ω</mi></mrow><mrow><mi>e</mi></mrow></msub><mo>=</mo><mi>c</mi><mi>o</mi><mi>n</mi><mi>s</mi><mi>t</mi></mrow></math></span>; Singular Isothermal Sphere medium and nonuniform plasma with <span><math><mrow><msubsup><mrow><mi>ω</mi></mrow><mrow><mi>e</mi></mrow><mrow><mn>2</mn></mrow></msubsup><mo>=</mo><msub><mrow><mi>z</mi></mrow><mrow><mi>o</mi></mrow></msub><mo>/</mo><mi>r</mi></mrow></math></span>. Additionally, the total magnification of the image source due to the gravitational weak lensing has also been considered taking into account the influence of parameters <span><math><mi>a</mi></math></span>, <span><math><msub><mrow><mi>l</mi></mrow><mrow><mi>o</mi></mrow></msub></math></span> and <span><math><mi>Q</mi></math></span> related to hairy spacetime in the presence of plasma around the black hole.</div></div>","PeriodicalId":48774,"journal":{"name":"Physics of the Dark Universe","volume":"49 ","pages":"Article 102008"},"PeriodicalIF":6.4000,"publicationDate":"2025-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics of the Dark Universe","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2212686425002018","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 0
Abstract
The optical properties around the hairy black hole have been studied in the presence of a plasma medium. The obtained results have shown that the effect of the hairy black hole parameter’s , and on the deflection angle of light rays around the black hole is perceptible. With an increase in hairs and of black hole, there is a promotion in the radius of the photon sphere and the radius of the shadow of the central object. However, an increase in primary hair leads to a reduction in the photon sphere and shadow of the hairy black hole, and the effect of plasma on the deflection angle is the opposite. Here, we discuss different types of plasma distributions: uniform ; Singular Isothermal Sphere medium and nonuniform plasma with . Additionally, the total magnification of the image source due to the gravitational weak lensing has also been considered taking into account the influence of parameters , and related to hairy spacetime in the presence of plasma around the black hole.
期刊介绍:
Physics of the Dark Universe is an innovative online-only journal that offers rapid publication of peer-reviewed, original research articles considered of high scientific impact.
The journal is focused on the understanding of Dark Matter, Dark Energy, Early Universe, gravitational waves and neutrinos, covering all theoretical, experimental and phenomenological aspects.