This article is cited in 2 papers

PHYSICS

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

M. Fathi, J. R. Villanueva

Instituto de F´isica y Astronom´ia, Universidad de Valpara´iso

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.

Keywords: elliptic integrals, light deflection, black holes.

UDC: 524.882

MSC: Primary 83C57; Secondary 33E05

Language: English

DOI: 10.26117/2079-6641-2021-36-3-165-188