Some remarks on the size of bodies and black holes

Abstract

We consider the application of stable marginally outer trapped surfaces to problems concerning the size of material bodies and the area of black holes. The results presented extend to general initial data sets (V,g,K) previous results assuming either maximal (tr K = 0) or time-symmetric (K = 0) initial data.

arXiv comment12 pages

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Cited by in corpus (7)

• Geometrical inequalities bounding angular momentum and charges in General Relativity
• A simple proof of the recent generalisations of Hawking's black hole topology theorem
• Inequality between size and angular momentum for bodies
• Initial data rigidity results
• Inequalities Between Size and Charge for Bodies and the Existence of Black Holes Due to Concentration of Charge
• Size, angular momentum and mass for objects
• On the topology of untrapped surfaces