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Deformations of the Kerr-(A)dS Near Horizon Geometry
- 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
- Subjects :
- General Relativity and Quantum Cosmology
Mathematics - Differential Geometry
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2310.06186
- Document Type :
- Working Paper