1. Non-Axisymmetric Gravitational 'Hair' for Extremal Black Holes
- Author
-
Bishoyi, Som Dev, Sabharwal, Subir, and Khanna, Gaurav
- Subjects
General Relativity and Quantum Cosmology - Abstract
Various generalizations of the scalar, axisymmetric Aretakis "horizon hair" for extremal black holes have recently appeared in the literature. In this paper, we present an expression for a non-axisymmetric Aretakis gravitational charge and its potentially observable imprint at a finite distance from the horizon (Ori-coefficient) in extremal Kerr black hole backgrounds. We offer strong and robust numerical evidence for the existence of this hair and its properties. Specifically, we consider the time evolution of horizon penetrating, quadrupolar and (subdominant) octupolar gravitational perturbations with compact support on extremal Kerr (EK) spacetime. We do this by numerically solving the Teukolsky equation and determining the Aretakis charge values on the horizon and at a finite distance from the black hole., Comment: 7 pages, 9 figures
- Published
- 2024