Relationship between High-Energy Absorption Cross Section and Strong Gravitational Lensing for Black Hole

TL;DR

This paper establishes a relationship between high-energy absorption cross sections and strong gravitational lensing in black holes, enabling potential observational measurements and insights into black hole energy emissions and cosmic censorship.

Contribution

It introduces a novel relation linking absorption cross sections and gravitational lensing, facilitating observational estimation and testing of cosmic censorship hypothesis.

Findings

Relation between absorption cross section and lensing derived

Method to estimate energy emission rates from lensing observations

Application to Janis-Newman-Winicour solution and testing cosmic censorship

Abstract

In this paper, we obtain a relation between the high-energy absorption cross section and the strong gravitational lensing for a static and spherically symmetric black hole. It provides us a possible way to measure the high-energy absorption cross section for a black hole from strong gravitational lensing through astronomical observation. More importantly, it allows us to compute the total energy emission rate for high-energy particles emitted from the black hole acting as a gravitational lens. It could tell us the range of the frequency, among which the black hole emits the most of its energy and the gravitational waves are most likely to be observed. We also apply it to the Janis-Newman-Winicour solution. The results suggest that we can test the cosmic censorship hypothesis through the observation of gravitational lensing by the weakly naked singularities acting as gravitational lenses.