Gravitational field and lensing of a circular chiral vorton

Fuente: arXiv
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Main Authors: Putra, Leonardus B., Ramadhan, H. S.
Format: Preprint
Published: 2024
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author Putra, Leonardus B.
Ramadhan, H. S.
author_facet Putra, Leonardus B.
Ramadhan, H. S.
contents 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 $M_v=4πRμ$ 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.
format Preprint
id arxiv_https___arxiv_org_abs_2407_05270
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Gravitational field and lensing of a circular chiral vorton
Putra, Leonardus B.
Ramadhan, H. S.
General Relativity and Quantum Cosmology
High Energy Physics - Theory
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 $M_v=4πRμ$ 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.
title Gravitational field and lensing of a circular chiral vorton
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2407.05270