Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Connection between Sinc Approximation for High-Energy Absorption Cross Section and Shadow of Black Holes

Version 1 : Received: 17 August 2021 / Approved: 18 August 2021 / Online: 18 August 2021 (14:31:11 CEST)

How to cite: Övgün, A. Connection between Sinc Approximation for High-Energy Absorption Cross Section and Shadow of Black Holes. Preprints 2021, 2021080390 (doi: 10.20944/preprints202108.0390.v1). Övgün, A. Connection between Sinc Approximation for High-Energy Absorption Cross Section and Shadow of Black Holes. Preprints 2021, 2021080390 (doi: 10.20944/preprints202108.0390.v1).

Abstract

This letter aims to show the connection between the sinc approximation for high-energy absorption cross section and the shadow radius of the spherically symmetric black hole. This connection can give a physical interpretation of the absorption cross section in the eikonal limit parameters. Moreover, the use of this alternative way, one can extract its shadow radius from the absorption cross section in high energy limits to gain more information about the black hole spacetime. Our results indicate that the increasing the value of the shadow radius of the black hole, exponentially increase the the absorption cross section of the black hole in high-energy limits which can be captured by the Event Horizon Telescope (EHT) collaboration.

Keywords

Gravitation; Black hole; Shadow; High-energy physics; Cross-section; Null geodesics

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