New Chandrasekhar transformation in Kerr spacetime
Hiroaki Nakajima, Wenbin Lin
TL;DR
This paper introduces a novel Chandrasekhar transformation in Kerr spacetime utilizing a different tortoise coordinate, facilitating exact analysis of the Teukolsky equation across arbitrary frequencies, and links it to quantum Seiberg-Witten geometry.
Contribution
It presents a new Chandrasekhar transformation in Kerr spacetime based on a different tortoise coordinate, enhancing analytical capabilities for the Teukolsky equation.
Findings
Enables exact analysis of Teukolsky equation at arbitrary frequencies
Provides a new interpretation via quantum Seiberg-Witten geometry
Facilitates deeper understanding of Kerr spacetime perturbations
Abstract
We construct a new type of Chandrasekhar transformation in Kerr spacetime using the different tortoise coordinate, which is useful for exact analysis to study Teukolsky equation with arbitrary frequency. We also give the interpretation of our transformation using the formalism of the quantum Seiberg-Witten geometry.
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