Deformations of the Kerr-(A)dS Near Horizon Geometry
Eric Bahuaud, Sharmila Gunasekaran, Hari K Kunduri, Eric Woolgar
TL;DR
This paper studies how the near horizon geometry of Kerr-(A)dS black holes can be deformed, establishing rigidity results that limit possible perturbations through Fourier analysis and analyticity arguments.
Contribution
It provides new partial rigidity results for Kerr-(A)dS near horizon geometries by analyzing linear perturbations and eliminating certain Fourier modes.
Findings
Finite Fourier modes of perturbations are allowed
Odd Fourier modes are proven to be absent
Rigidity results restrict deformations of the 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.
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Taxonomy
TopicsNonlinear Photonic Systems · Advanced Fiber Laser Technologies · Silicone and Siloxane Chemistry