Investigations on hoop conjecture for horizonless spherical charged stars

For horizonless spherical stars with uniform charge density, the hoop conjecture was tested based on the interior solution. In this work, we are interested in more general horizonless spherical charged stars. We test hoop conjecture using the exterior solution since all types of interior solutions c...

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Main Author: Yan Peng
Format: Article
Language:English
Published: Elsevier 2021-04-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321321000390
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spelling doaj-2870eaebaf6146399540525241f4e6452021-03-23T04:11:31ZengElsevierNuclear Physics B0550-32132021-04-01965115342Investigations on hoop conjecture for horizonless spherical charged starsYan Peng0School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, China; Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, Yangzhou 225009, China; Correspondence to: School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, China.For horizonless spherical stars with uniform charge density, the hoop conjecture was tested based on the interior solution. In this work, we are interested in more general horizonless spherical charged stars. We test hoop conjecture using the exterior solution since all types of interior solutions correspond to the same exterior Reissner-Nordsröm solution. Our analysis shows that the hoop conjecture is violated for very compact stars if we express the conjecture with the total ADM mass. And the hoop conjecture holds if we express the conjecture using the mass in the sphere.http://www.sciencedirect.com/science/article/pii/S0550321321000390
collection DOAJ
language English
format Article
sources DOAJ
author Yan Peng
spellingShingle Yan Peng
Investigations on hoop conjecture for horizonless spherical charged stars
Nuclear Physics B
author_facet Yan Peng
author_sort Yan Peng
title Investigations on hoop conjecture for horizonless spherical charged stars
title_short Investigations on hoop conjecture for horizonless spherical charged stars
title_full Investigations on hoop conjecture for horizonless spherical charged stars
title_fullStr Investigations on hoop conjecture for horizonless spherical charged stars
title_full_unstemmed Investigations on hoop conjecture for horizonless spherical charged stars
title_sort investigations on hoop conjecture for horizonless spherical charged stars
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
publishDate 2021-04-01
description For horizonless spherical stars with uniform charge density, the hoop conjecture was tested based on the interior solution. In this work, we are interested in more general horizonless spherical charged stars. We test hoop conjecture using the exterior solution since all types of interior solutions correspond to the same exterior Reissner-Nordsröm solution. Our analysis shows that the hoop conjecture is violated for very compact stars if we express the conjecture with the total ADM mass. And the hoop conjecture holds if we express the conjecture using the mass in the sphere.
url http://www.sciencedirect.com/science/article/pii/S0550321321000390
work_keys_str_mv AT yanpeng investigationsonhoopconjectureforhorizonlesssphericalchargedstars
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