The role of elliptic integrals in calculating the gravitational lensing of a charged Weyl black hole surrounded by plasma

In this paper, we mainly aim at highlighting the importance of (hyper-)elliptic integrals in the study of gravitational effects caused by strongly gravitating systems. For this, we study the application of elliptic integrals in calculating the light deflection as it passes a plasmic medium, surround...

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Autores principales:	Fathi, M., Villanueva, J.R.
Formato:	article
Lenguaje:	EN RU
Publicado:	KamGU by Vitus Bering 2021
Materias:	elliptic integrals light deflection black holes эллиптические интегралы отклонение света черные дыры Science Q
Acceso en línea:	https://doaj.org/article/3049f0ebcbe8452d88ce939400da6966
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id	oai:doaj.org-article:3049f0ebcbe8452d88ce939400da6966
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spelling	oai:doaj.org-article:3049f0ebcbe8452d88ce939400da69662021-11-10T10:41:03ZThe role of elliptic integrals in calculating the gravitational lensing of a charged Weyl black hole surrounded by plasma2079-66412079-665X10.26117/2079-6641-2021-36-3-165-188https://doaj.org/article/3049f0ebcbe8452d88ce939400da69662021-11-01T00:00:00Zhttp://krasec.ru/fathi363021/https://doaj.org/toc/2079-6641https://doaj.org/toc/2079-665XIn this paper, we mainly aim at highlighting the importance of (hyper-)elliptic integrals in the study of gravitational effects caused by strongly gravitating systems. For this, we study the application of elliptic integrals in calculating the light deflection as it passes a plasmic medium, surrounding a charged Weyl black hole. To proceed with this, we consider two specific algebraic ansatzes for the plasmic refractive index, and we characterize the photon sphere for each of the cases. This will be used further to calculate the angular diameter of the corresponding black hole shadow. We show that the complexity of the refractive index expressions, can result in substantially different types of dependencies of the light behavior on the spacetime parameters.Fathi, M.Villanueva, J.R.KamGU by Vitus Beringarticleelliptic integralslight deflectionblack holesэллиптические интегралыотклонение светачерные дырыScienceQENRUVestnik KRAUNC: Fiziko-Matematičeskie Nauki, Vol 2021, Iss 3, Pp 165-188 (2021)
institution	DOAJ
collection	DOAJ
language	EN RU
topic	elliptic integrals light deflection black holes эллиптические интегралы отклонение света черные дыры Science Q
spellingShingle	elliptic integrals light deflection black holes эллиптические интегралы отклонение света черные дыры Science Q Fathi, M. Villanueva, J.R. The role of elliptic integrals in calculating the gravitational lensing of a charged Weyl black hole surrounded by plasma
description	In this paper, we mainly aim at highlighting the importance of (hyper-)elliptic integrals in the study of gravitational effects caused by strongly gravitating systems. For this, we study the application of elliptic integrals in calculating the light deflection as it passes a plasmic medium, surrounding a charged Weyl black hole. To proceed with this, we consider two specific algebraic ansatzes for the plasmic refractive index, and we characterize the photon sphere for each of the cases. This will be used further to calculate the angular diameter of the corresponding black hole shadow. We show that the complexity of the refractive index expressions, can result in substantially different types of dependencies of the light behavior on the spacetime parameters.
format	article
author	Fathi, M. Villanueva, J.R.
author_facet	Fathi, M. Villanueva, J.R.
author_sort	Fathi, M.
title	The role of elliptic integrals in calculating the gravitational lensing of a charged Weyl black hole surrounded by plasma
title_short	The role of elliptic integrals in calculating the gravitational lensing of a charged Weyl black hole surrounded by plasma
title_full	The role of elliptic integrals in calculating the gravitational lensing of a charged Weyl black hole surrounded by plasma
title_fullStr	The role of elliptic integrals in calculating the gravitational lensing of a charged Weyl black hole surrounded by plasma
title_full_unstemmed	The role of elliptic integrals in calculating the gravitational lensing of a charged Weyl black hole surrounded by plasma
title_sort	role of elliptic integrals in calculating the gravitational lensing of a charged weyl black hole surrounded by plasma
publisher	KamGU by Vitus Bering
publishDate	2021
url	https://doaj.org/article/3049f0ebcbe8452d88ce939400da6966
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The role of elliptic integrals in calculating the gravitational lensing of a charged Weyl black hole surrounded by plasma

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