70 citations · 301 across the 32 of their papers we have counts for
33 papers
Deriving Perelman's entropy from Colding's monotonic volume
Ignacio Bustamante, Martin Reiris
In his groundbreaking work from 2002, Perelman introduced two fundamental monotonic quantities: the reduced volume and the entropy. While the reduced volume was motivated by the Bi…
Static vacuum 3+1 black holes that cannot be put into stationary rotation
Javier Peraza, Martin Reiris
We prove that some of the static Myers/Korotkin-Nicolai (MKN) vacuum 3+1 static black holes cannot be put into stationary rotation. Namely, they cannot be deformed into axisymmetri…
On the existence of charged electrostatic black holes in arbitrary topology
Martin Reiris
The general classification of 3+1-static black hole solutions of the Einstein equations, with or without matter, is central in General Relativity and important in geometry. In the…
Towards Long-time Geometrization: Stability of the Double-Cusp Spacetimes Under T2-Symmetry
Alejandro Bellati, Martin Reiris
Since the early years of General Relativity, understanding the long-time behavior of the cosmological solutions of Einstein's vacuum equations has been a fundamental yet challengin…
Compact curve shortening flow solutions out of non compact curve
Theodora Bourni, Martin Reiris
We construct a slingshot, that is a compact, embedded solution to curve shortening flow that comes out of a non compact curve and exists for a finite time.
Periodic analogues of the Kerr solutions: a numerical study
Javier Peraza, Martín Reiris, Omar E. Ortiz
In recent years black hole configurations with non standard topology or with non-standard asymptotic have gained considerable attention. In this article we carry out numerical inve…