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

Author:

Eric Bahuaud, Sharmila Gunasekaran, Hari K Kunduri, Eric Woolgar

Keyword:

General Relativity and Quantum Cosmology, General Relativity and Quantum Cosmology (gr-qc), Differential Geometry (math.DG)

journal:

date:

2023-10-08 16:00:00

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.

PDF: Deformations of the Kerr-(A)dS Near Horizon Geometry.pdf