# Penrose-like inequality with angular momentum for minimal surfaces

@article{Anglada2017PenroselikeIW, title={Penrose-like inequality with angular momentum for minimal surfaces}, author={Pablo Anglada}, journal={Classical and Quantum Gravity}, year={2017}, volume={35} }

In axially symmetric spacetimes the Penrose inequality can be strengthened to include angular momentum. We prove a version of this inequality for minimal surfaces, more precisely, a lower bound for the ADM mass in terms of the area of a minimal surface, the angular momentum and a particular measure of the surface size. We consider axially symmetric and asymptotically flat initial data, and use the monotonicity of the Geroch quasi-local energy on 2-surfaces along the inverse mean curvature flow.

## 11 Citations

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Fil: Anglada, Pablo Ruben. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Centro Cientifico Tecnologico Conicet - Cordoba. Instituto de Fisica Enrique Gaviola. Universidad Nacional de…

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We survey recent developments towards a proof of the Penrose conjecture and results on Penrose-type and other geometric inequalities for quasi-local masses in general relativity.

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of the Dissertation Extensions of the Mass Angular Momentum Inequality in Mathematical Relativity

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