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arXiv · 1705.08799

Mass-Angular Momentum Inequality For Black Ring Spacetimes

Aghil Alaee·Marcus Khuri·Hari Kunduri
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Abstract

The inequality $m^3\geq \frac{27π}{4} |\mathcal{J}_{2}||\mathcal{J}_{1}-\mathcal{J}_{2}|$ relating total mass and angular momenta, is established for (possibly dynamical) spacetimes admitting black holes of ring ($S^1\times S^2$) topology. This inequality is shown to be sharp in the sense that it is saturated precisely for the extreme Pomeransky-Sen'kov black ring solutions. The physical significance of this inequality and its relation to new evidence of black ring instability, as well as the standard picture of gravitational collapse, are discussed.

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Aghil Alaee, Marcus Khuri, Hari Kunduri. 2017-09-08. Mass-Angular Momentum Inequality For Black Ring Spacetimes. https://doi.org/10.1103/physrevlett.119.071101

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