Analytical study of light ray trajectories in Kerr spacetime in the presence of an inhomogeneous anisotropic plasma

Abstract We calculate the exact solutions to the equations of motion that govern the light ray trajectories as they travel in a Kerr black hole’s exterior that is considered to be filled with an inhomogeneous and anisotropic plasmic medium. This is approached by characterizing the plasma through con...

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Autores principales:	Mohsen Fathi, Marco Olivares, J. R. Villanueva
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/6c3669e3b07944888a5f6b947fc12002
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spelling	oai:doaj.org-article:6c3669e3b07944888a5f6b947fc120022021-11-14T12:13:36ZAnalytical study of light ray trajectories in Kerr spacetime in the presence of an inhomogeneous anisotropic plasma10.1140/epjc/s10052-021-09787-11434-60441434-6052https://doaj.org/article/6c3669e3b07944888a5f6b947fc120022021-11-01T00:00:00Zhttps://doi.org/10.1140/epjc/s10052-021-09787-1https://doaj.org/toc/1434-6044https://doaj.org/toc/1434-6052Abstract We calculate the exact solutions to the equations of motion that govern the light ray trajectories as they travel in a Kerr black hole’s exterior that is considered to be filled with an inhomogeneous and anisotropic plasmic medium. This is approached by characterizing the plasma through conceiving a radial and an angular structure function, which are let to be constant. The description of the motion is carried out by using the Hamilton–Jacobi method, that allows defining two effective potentials, characterizing the evolution of the polar coordinates. The elliptic integrals of motion are then solved analytically, and the evolution of coordinates is expressed in terms of the Mino time. This way, the three-dimensional demonstrations of the light ray trajectories are given respectively.Mohsen FathiMarco OlivaresJ. R. VillanuevaSpringerOpenarticleAstrophysicsQB460-466Nuclear and particle physics. Atomic energy. RadioactivityQC770-798ENEuropean Physical Journal C: Particles and Fields, Vol 81, Iss 11, Pp 1-18 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Mohsen Fathi Marco Olivares J. R. Villanueva Analytical study of light ray trajectories in Kerr spacetime in the presence of an inhomogeneous anisotropic plasma
description	Abstract We calculate the exact solutions to the equations of motion that govern the light ray trajectories as they travel in a Kerr black hole’s exterior that is considered to be filled with an inhomogeneous and anisotropic plasmic medium. This is approached by characterizing the plasma through conceiving a radial and an angular structure function, which are let to be constant. The description of the motion is carried out by using the Hamilton–Jacobi method, that allows defining two effective potentials, characterizing the evolution of the polar coordinates. The elliptic integrals of motion are then solved analytically, and the evolution of coordinates is expressed in terms of the Mino time. This way, the three-dimensional demonstrations of the light ray trajectories are given respectively.
format	article
author	Mohsen Fathi Marco Olivares J. R. Villanueva
author_facet	Mohsen Fathi Marco Olivares J. R. Villanueva
author_sort	Mohsen Fathi
title	Analytical study of light ray trajectories in Kerr spacetime in the presence of an inhomogeneous anisotropic plasma
title_short	Analytical study of light ray trajectories in Kerr spacetime in the presence of an inhomogeneous anisotropic plasma
title_full	Analytical study of light ray trajectories in Kerr spacetime in the presence of an inhomogeneous anisotropic plasma
title_fullStr	Analytical study of light ray trajectories in Kerr spacetime in the presence of an inhomogeneous anisotropic plasma
title_full_unstemmed	Analytical study of light ray trajectories in Kerr spacetime in the presence of an inhomogeneous anisotropic plasma
title_sort	analytical study of light ray trajectories in kerr spacetime in the presence of an inhomogeneous anisotropic plasma
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/6c3669e3b07944888a5f6b947fc12002
work_keys_str_mv	AT mohsenfathi analyticalstudyoflightraytrajectoriesinkerrspacetimeinthepresenceofaninhomogeneousanisotropicplasma AT marcoolivares analyticalstudyoflightraytrajectoriesinkerrspacetimeinthepresenceofaninhomogeneousanisotropicplasma AT jrvillanueva analyticalstudyoflightraytrajectoriesinkerrspacetimeinthepresenceofaninhomogeneousanisotropicplasma
_version_	1718429351458897920

Analytical study of light ray trajectories in Kerr spacetime in the presence of an inhomogeneous anisotropic plasma

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