Deformations of the Kerr-(A)dS Near Horizon Geometry
General Relativity and Quantum Cosmology
2023-10-11 v1 Differential Geometry
Abstract
We investigate deformations of the Kerr-(A)dS near horizon geometry and derive partial infinitesimal rigidity results for it. The proof comprises two parts. First, we follow the analysis of Jezierski and Kami\'nski [Gen Rel Grav 45 (2013) 987--1004] to eliminate all but a finite number of Fourier modes of linear perturbations. In the second part, we give an argument using analyticity to prove that there are no odd Fourier modes.
Cite
@article{arxiv.2310.06186,
title = {Deformations of the Kerr-(A)dS Near Horizon Geometry},
author = {Eric Bahuaud and Sharmila Gunasekaran and Hari K Kunduri and Eric Woolgar},
journal= {arXiv preprint arXiv:2310.06186},
year = {2023}
}
Comments
20 pages