PIRSA:14050030

Geometric inequalities for black holes

APA

Dain, S. (2014). Geometric inequalities for black holes. Perimeter Institute for Theoretical Physics. https://pirsa.org/14050030

MLA

Dain, Sergio. Geometric inequalities for black holes. Perimeter Institute for Theoretical Physics, May. 01, 2014, https://pirsa.org/14050030

BibTex

          @misc{ scivideos_PIRSA:14050030,
            doi = {10.48660/14050030},
            url = {https://pirsa.org/14050030},
            author = {Dain, Sergio},
            keywords = {Strong Gravity},
            language = {en},
            title = {Geometric inequalities for black holes},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2014},
            month = {may},
            note = {PIRSA:14050030 see, \url{https://scivideos.org/index.php/pirsa/14050030}}
          }
          

Sergio Dain Universidad Nacional de Cordoba

Talk numberPIRSA:14050030
Source RepositoryPIRSA
Collection

Abstract

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 characterize the Kerr-Newman black hole (angular momentum, charge, mass and horizon area) satisfy several important geometric inequalities. Remarkably enough, some of these inequalities also hold for dynamical black holes. This kind of inequalities, which are valid in the dynamical and strong field regime, play an important role in the characterization of the gravitational collapse. They are closed related with the cosmic censorship conjecture. Also, variants of these inequalities are valid for ordinary bodies. In this talk I will review recent results in this subject.