{"title":"Gravitational field and lensing of a circular chiral vorton","authors":"Leonardus B. Putra, H. S. Ramadhan","doi":"10.1007/s10714-025-03416-y","DOIUrl":null,"url":null,"abstract":"<div><p>We derive the metric of a circular chiral vorton in the weak field limit. The object is self-supporting by means of its chiral current. A conical singularity with deficit angle, identical to that of straight string with the same linear mass density, is present at the vorton’s core. We find that the metric is akin to the electromagnetic 4-potential of a circular current wire loop, illustrating the concept of gravito-electromagnetism. Surprisingly we find that the solution asymptotically mimics a Kerr-like naked singularity with mass <span>\\(M_v=4\\pi R\\mu \\)</span> and spin parameter <span>\\(a=R/2\\)</span>. Finally, we also simulate the gravitational lensing images by solving the corresponding null geodesic equations. This reveals interesting properties of the images, such as the simultaneous creation of a minimally distorted source image and its Einstein ring, as well as the formation of double images on the back side of the ring.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 6","pages":""},"PeriodicalIF":2.8000,"publicationDate":"2025-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-025-03416-y.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"General Relativity and Gravitation","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10714-025-03416-y","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 0
Abstract
We derive the metric of a circular chiral vorton in the weak field limit. The object is self-supporting by means of its chiral current. A conical singularity with deficit angle, identical to that of straight string with the same linear mass density, is present at the vorton’s core. We find that the metric is akin to the electromagnetic 4-potential of a circular current wire loop, illustrating the concept of gravito-electromagnetism. Surprisingly we find that the solution asymptotically mimics a Kerr-like naked singularity with mass \(M_v=4\pi R\mu \) and spin parameter \(a=R/2\). Finally, we also simulate the gravitational lensing images by solving the corresponding null geodesic equations. This reveals interesting properties of the images, such as the simultaneous creation of a minimally distorted source image and its Einstein ring, as well as the formation of double images on the back side of the ring.
我们导出了弱场极限下圆形手性涡的度规。物体依靠手性电流自我支撑。在涡核处存在一个与直线质量密度相同的直弦具有亏损角的锥形奇点。我们发现度规类似于环形电流线圈的电磁4势,说明了引力电磁学的概念。令人惊讶的是,我们发现解渐近地模拟了质量M_v=4 \pi R \mu和自旋参数a=R/2的kerr裸奇点。最后,我们还通过求解相应的零测地线方程来模拟引力透镜图像。这揭示了图像的有趣特性,例如同时产生最小畸变的源图像及其爱因斯坦环,以及在环背面形成双图像。
期刊介绍:
General Relativity and Gravitation is a journal devoted to all aspects of modern gravitational science, and published under the auspices of the International Society on General Relativity and Gravitation.
It welcomes in particular original articles on the following topics of current research:
Analytical general relativity, including its interface with geometrical analysis
Numerical relativity
Theoretical and observational cosmology
Relativistic astrophysics
Gravitational waves: data analysis, astrophysical sources and detector science
Extensions of general relativity
Supergravity
Gravitational aspects of string theory and its extensions
Quantum gravity: canonical approaches, in particular loop quantum gravity, and path integral approaches, in particular spin foams, Regge calculus and dynamical triangulations
Quantum field theory in curved spacetime
Non-commutative geometry and gravitation
Experimental gravity, in particular tests of general relativity
The journal publishes articles on all theoretical and experimental aspects of modern general relativity and gravitation, as well as book reviews and historical articles of special interest.