Deformations of the Kerr-(A)dS Near Horizon Geometry

Authors :: Bahuaud, Eric
Gunasekaran, Sharmila
Kunduri, Hari K
Woolgar, Eric
Publication Year :: 2023
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.<br />Comment: 20 pages