Wahlquist Metric Revisited
General Relativity and Quantum Cosmology
2024-04-23 v5 High Energy Physics - Theory
Abstract
Here we continue studying the Wahlquist metric. We know that the wave equation written for a zero mass scalar particle in the background of this metric gives Heun type solutions. To be able to use the existing literature on Heun functions, we try to put our wave equation to the standard form for these functions. Then we calculate the reflection coefficient of a wave coming from infinity and scattered at the center using this formalism using two independent methods.
Keywords
Cite
@article{arxiv.2108.11190,
title = {Wahlquist Metric Revisited},
author = {M. Hortaçsu},
journal= {arXiv preprint arXiv:2108.11190},
year = {2024}
}
Comments
This paper is written for the Festscrift prepared for Prof. Dr. Tekin Dereli, an eminent Turkish physicist. In this new form we give an alternative derivation for the calculation of the reflection coefficients. Updated version