On extensions of the Penrose inequality with angular momentum
Wojciech Kulczycki, Edward Malec
TL;DR
This paper numerically tests recent proposed extensions of the Penrose inequality that incorporate angular momentum, finding contradictions in formulations based on asymptotic mass and angular momentum.
Contribution
It provides the first numerical analysis of the validity of modified Penrose inequalities with angular momentum using stationary toroid solutions.
Findings
Contradicts formulations based on asymptotic mass and angular momentum.
Uses numerical solutions of polytropic stationary toroids around spinning black holes.
Highlights limitations of recent inequality modifications.
Abstract
We numerically investigate the validity of recent modifications of the Penrose inequality that include angular momentum. Formulations expressed in terms of asymptotic mass and asymptotic angular momentum are contradicted. We analyzed numerical solutions describing polytropic stationary toroids around spinning black holes.
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