On extensions of the Penrose inequality with angular momentum

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.

Revised and expanded: a new Section 3 on numerical integration; misprints corrected; minor stylistic changes. Conclusions are unchanged

References in corpus (4)

• Present status of the Penrose inequality
• General-relativistic rotation laws in rotating fluid bodies
• Rotating systems, universal features in dragging and anti-dragging effects, and bounds onto angular momentum
• The general Penrose inequality: lessons from numerical evidence

Cited by in corpus (1)

• New spinorial mass-quasilocal angular momentum inequality for initial data with marginally future trapped surface