Absorption Cross-section and Decay Rate of Rotating Linear Dilaton Black Holes

TL;DR

This paper analytically investigates scalar wave behavior around rotating linear dilaton black holes, deriving exact formulas for greybody factors, absorption cross-sections, and decay rates, with results visualized graphically.

Contribution

It provides the first exact analytical solutions for scalar perturbations and related physical quantities in rotating linear dilaton black holes.

Findings

Exact hypergeometric solutions for wave equations

Explicit formulas for greybody factors, absorption cross-sections, decay rates

Graphical analysis of physical quantities

Abstract

We analytically study the scalar perturbation of non-asymptotically flat (NAF) rotating linear dilaton black holes (RLDBHs) in 4-dimensions. We show that both radial and angular wave equations can be solved in terms of the hypergeometric functions. The exact greybody factor (GF), the absorption cross-section (ACS), and the decay rate (DR) for the massless scalar waves are computed for these black holes (BHs). The results obtained for ACS and DR are discussed through graphs.