A Short Note on the Love Number of Extremal Reissner-Nordstrom and Kerr-Newman Black Holes
Alex Kehagias, Davide Perrone, Antonio Riotto
TL;DR
This paper presents a straightforward proof explaining why extremal Reissner-Nordstrom and Kerr-Newman black holes have zero Love numbers, using a conformal inversion symmetry that links the horizon to distant regions.
Contribution
It introduces a simple, symmetry-based proof for the vanishing Love numbers of extremal charged and rotating black holes, clarifying their geometric properties.
Findings
Love numbers vanish for extremal Reissner-Nordstrom black holes
Love numbers vanish for extremal Kerr-Newman black holes
The proof relies on conformal inversion symmetry of spacetime
Abstract
We provide a simple proof of why the Love number vanishes for extremal Reissner-Nordstrom and Kerr-Newman black holes. The argument is based on a conformal inversion isometry of the spacetime connecting the horizon with large distances.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · History and Theory of Mathematics · Cosmology and Gravitation Theories