- Karim Mosani,
Geometry and topology of trapped photon region in Kerr-Newman and Kerr-Sen spacetimes,
The 33rd Workshop on General Relativity and Gravitation in Japan,
Osaka,
Dec 2–6, 2024
Abstract
Consider the trapped photon region in the domain of outer
communication of sub-extremal Kerr spacetime. Cederbaum and Jahns
(Gen.Relativ.Gravit, 51, 79, 2019) proved that the canonical projection
of this trapped photon region in the (co-)tangent bundle is a
five-dimensional submanifold of topology \(SO(3)\times \mathbb{R}^2\).
By adapting the latter’s methodology, we generalize this result to two
stationary axisymmetric classes of spacetimes admitting black hole
horizon, namely Kerr- Newman spacetime and Kerr-Sen spacetime. The
former is a solution to Einstein-Maxwell equations, while the latter is
a solution to Einstein-Maxwell-Dilaton-Axion equations. These include
both sub-extremal and extremal cases. The result has potential
applications in various areas of mathematical relativity, like black
hole uniqueness theorems, black hole dynamical stability, gravitational
lensing, black hole shadows, and cosmic censorship conjecture. (This
work is in collaboration with Cederbaum). - Roland Steinbauer,
Synthetic curvature for GR and beyond,
5th EPS Conference on Gravity,
Prague,
Dec 9–11, 2024
Abstract
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