A geometric inequality in general relativity relates quantities that have both a physical
interpretation and a geometrical definition. It is well known that the parameters that …

It is well known that the three parameters that characterize the Kerr black hole (mass,
angular momentum and horizon area) satisfy several important inequalities. Remarkably …

Our current picture of black hole gravitational collapse relies on two assumptions: i) the
resulting singularity is hidden behind an event horizon–weak cosmic censorship conjecture …

Angular-Momentum–Mass Inequality for Axisymmetric Black Holes Page 1 Angular-Momentum–Mass
Inequality for Axisymmetric Black Holes Sergio Dain1,* 1Albert-Einstein-Institut, am Mühlenberg …

The “cosmic censorship conjecture” asserts that all singularities arising from gravitational
collapse are hidden within black holes. We investigate this conjecture in a setup of interest …

The Penrose inequality gives a lower bound for the total mass of a spacetime in terms of the
area of suitable surfaces that represent black holes. Its validity is supported by the cosmic …

In this essay I first discuss the physical relevance of the inequality for axially symmetric
(nonstationary) black holes, where m is the mass and J the angular momentum of the space …

Fast Track Communications Page 1 Classical and Quantum Gravity FAST TRACK
COMMUNICATION A universal inequality between the angular momentum and horizon area for …

We prove that for any vacuum, maximal, asymptotically flat, axisymmetric initial data for
Einstein equations close to extreme Kerr data, the inequality is satisfied, where m and J are …

We derive mass-independent equations and inequalities for Kerr–Newman-anti-de Sitter
black holes. In particular, we obtain an equation that relates electric charge, angular …