Odil Yunusov , Bobur Turimov , Yokubjon Khamroev , Sulton Usanov , Farkhodjon Turaev , Markhabo Kuliyeva
{"title":"弦理论中的带电Zipoy-Voorhees度规","authors":"Odil Yunusov , Bobur Turimov , Yokubjon Khamroev , Sulton Usanov , Farkhodjon Turaev , Markhabo Kuliyeva","doi":"10.1016/j.aop.2025.170151","DOIUrl":null,"url":null,"abstract":"<div><div>We have presented a solution for a charged Zipoy–Voorhees metric within the framework of low-energy effective field theory for heterotic string theory. This exact solution represents a deformed gravitational field in four-dimensional spacetime, characterized by three key parameters: the mass <span><math><mi>M</mi></math></span>, the electric charge <span><math><mi>Q</mi></math></span>, and the deformation parameter <span><math><mi>γ</mi></math></span>, which controls deviations from spherical symmetry. Unlike standard black hole solutions, this metric describes a naked singularity, meaning it lacks an event horizon and exposes the central singularity to external observers. To examine the physical properties of this spacetime, we analyzed the geodesic motion of test particles and photons. The study of geodesic trajectories provides insight into the effects of the deformation parameter <span><math><mi>γ</mi></math></span> and charged parameter <span><math><mrow><mi>b</mi><mo>=</mo><msup><mrow><mi>Q</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>/</mo><mn>2</mn><mi>M</mi></mrow></math></span> on orbital motion, shadow, and potential astrophysical observables. Finally, a constraint on charge and deformation parameter using observed shadow radius of M87* has been obtained.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"481 ","pages":"Article 170151"},"PeriodicalIF":3.0000,"publicationDate":"2025-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Charged Zipoy–Voorhees metric in string theory\",\"authors\":\"Odil Yunusov , Bobur Turimov , Yokubjon Khamroev , Sulton Usanov , Farkhodjon Turaev , Markhabo Kuliyeva\",\"doi\":\"10.1016/j.aop.2025.170151\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We have presented a solution for a charged Zipoy–Voorhees metric within the framework of low-energy effective field theory for heterotic string theory. This exact solution represents a deformed gravitational field in four-dimensional spacetime, characterized by three key parameters: the mass <span><math><mi>M</mi></math></span>, the electric charge <span><math><mi>Q</mi></math></span>, and the deformation parameter <span><math><mi>γ</mi></math></span>, which controls deviations from spherical symmetry. Unlike standard black hole solutions, this metric describes a naked singularity, meaning it lacks an event horizon and exposes the central singularity to external observers. To examine the physical properties of this spacetime, we analyzed the geodesic motion of test particles and photons. The study of geodesic trajectories provides insight into the effects of the deformation parameter <span><math><mi>γ</mi></math></span> and charged parameter <span><math><mrow><mi>b</mi><mo>=</mo><msup><mrow><mi>Q</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>/</mo><mn>2</mn><mi>M</mi></mrow></math></span> on orbital motion, shadow, and potential astrophysical observables. Finally, a constraint on charge and deformation parameter using observed shadow radius of M87* has been obtained.</div></div>\",\"PeriodicalId\":8249,\"journal\":{\"name\":\"Annals of Physics\",\"volume\":\"481 \",\"pages\":\"Article 170151\"},\"PeriodicalIF\":3.0000,\"publicationDate\":\"2025-07-22\",\"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/S0003491625002337\",\"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/S0003491625002337","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}
We have presented a solution for a charged Zipoy–Voorhees metric within the framework of low-energy effective field theory for heterotic string theory. This exact solution represents a deformed gravitational field in four-dimensional spacetime, characterized by three key parameters: the mass , the electric charge , and the deformation parameter , which controls deviations from spherical symmetry. Unlike standard black hole solutions, this metric describes a naked singularity, meaning it lacks an event horizon and exposes the central singularity to external observers. To examine the physical properties of this spacetime, we analyzed the geodesic motion of test particles and photons. The study of geodesic trajectories provides insight into the effects of the deformation parameter and charged parameter on orbital motion, shadow, and potential astrophysical observables. Finally, a constraint on charge and deformation parameter using observed shadow radius of M87* has been obtained.
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.