The area-angular momentum inequality for black holes in cosmological spacetimes

DOI10.1088/0264-9381/32/14/145006zbMath1323.83019arXiv1501.07243OpenAlexW2962761741MaRDI QIDQ3448690

Martin Reiris, María Eugenia Gabach Clément, Walter Simon

Publication date: 26 October 2015

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.07243

zbMATH Keywords

cosmological constantapparent horizonarea inequality

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Black holes (83C57) Applications of differential geometry to physics (53Z05)

Related Items (4)

Initial data for rotating cosmologies ⋮ Bounding horizon area by angular momentum, charge, and cosmological constant in 5-dimensional minimal supergravity ⋮ Penrose-like inequality with angular momentum for minimal surfaces ⋮ Geometric inequalities for quasi-local masses

Cites Work

• Area inequalities for stable marginally outer trapped surfaces in Einstein-Maxwell-Dilaton theory
• Stability of marginally outer trapped surfaces and existence of marginally outer trapped tubes
• The entropy function for the extremal Kerr-(anti-)de Sitter black holes
• Extensions of the mountain pass theorem
• An existence theorem for harmonic mappings of Riemannian manifolds
• Horizon area–angular momentum inequality for a class of axially symmetric black holes
• Area-charge inequality for black holes
• The Yamabe invariant for axially symmetric initial data of two Kerr black holes
• Proof of the area–angular momentum–charge inequality for axisymmetric black holes
• Thermodynamics of Kerr-Newman-AdS black holes and conformal field theories
• The Large Scale Structure of Space-Time

This page was built for publication: The area-angular momentum inequality for black holes in cosmological spacetimes