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arXiv.org e-Print Archive
Preprint . 2020
Data sources: arXiv.org e-Print Archive
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Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
Article . 2021
Data sources: DOAJ
https://dx.doi.org/10.48550/ar...
Article . 2020
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The role of elliptic integrals in calculating the gravitational lensing of a charged Weyl black hole surrounded by plasma

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2020Embargo end date: 01 Jan 2020Publisher:arXivJournal:Vestnik KRAUNC: Fiziko-Matematičeskie Nauki (issn: 2079-6641, Copyright policy )
Authors: Fathi, M.; Villanueva, J.R.;

doi: 10.48550/arxiv.2009.03402

arXiv: 2009.03402

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

Abstract

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.

19 pages, 14 figures

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Keywords

High Energy Physics - Theory, 83C57, 33E05, Science, Q, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), elliptic integrals, black holes, отклонение света, General Relativity and Quantum Cosmology, черные дыры, High Energy Physics - Theory (hep-th), light deflection, эллиптические интегралы

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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