Greybody Factor for a Rotating Bardeen Black Hole

TL;DR

This paper derives an analytical expression for the greybody factor of a rotating Bardeen black hole, analyzing scalar field absorption and emission, highlighting the effects of rotation and angular momentum.

Contribution

It provides the first analytical formulation of the greybody factor for rotating Bardeen black holes in low energy and angular momentum regimes.

Findings

Rotation increases scalar emission rate.

Angular momentum decreases emission.

Analytical solutions match numerical results.

Abstract

In this paper, we formulate an analytical expression of greybody factor in the context of rotating Bardeen black hole which is valid in low energy and low angular momentum region. Primarily, we analyze the profile of effective potential which originates the absorption probability. We then derive two asymptotic solutions by solving the radial part of Klein-Gordon equation in two different regions, namely, black hole and far-field horizons. We match these solutions smoothly to an intermediate regime to extend our results over the whole radial coordinate. In order to elaborate on the significance of the analytical solution, we compute the energy emission rate and absorption cross-section for the massless scalar field. It is found that the rotation parameter increases the emission rate of scalar field particles while the orbital angular momentum minimizes the emission process.