92 citations · 1.3k across the 55 of their papers we have counts for
55 papers
Geometrical inequalities bounding angular momentum and charges in General Relativity
Sergio Dain, María Eugenia Gabach-Clement
Geometrical inequalities show how certain parameters of a physical system set restrictions on other parameters. For instance, a black hole of given mass can not rotate too fast, or…
The inequality between size and charge in spherical symmetry
Pablo Anglada, Sergio Dain, Omar E. Ortiz
We prove that for a spherically symmetric charged body two times the radius is always strictly greater than the charge of the body. We also prove that this inequality is sharp. Fin…
Bekenstein bounds and inequalities between size, charge, angular momentum and energy for bodies
Sergio Dain
Bekenstein bounds for the entropy of a body imply an universal inequality between size, energy, angular momentum and charge. We prove this inequality in Electromagnetism. We also p…
Bounds for axially symmetric linear perturbations for the extreme Kerr black hole
Sergio Dain, Ivan Gentile de Austria
We obtain remarkably simple integral bounds for axially symmetric linear perturbations for the extreme Kerr black hole in terms of conserved energies. From these estimates we deduc…
On the linear stability of the extreme Kerr black hole under axially symmetric perturbations
Sergio Dain, Ivan Gentile de Austria
We prove that for axially symmetric linear gravitational perturbations of the extreme Kerr black hole there exists a positive definite and conserved energy. This provides a basic c…
Geometric inequalities for black holes
Sergio Dain
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, some…