7 citations · 13 across the 6 of their papers we have counts for
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Global existence for a Fritz John equation in expanding FLRW spacetimes
João L. Costa, Jesús Oliver, Flavio Rossetti
We study the family of semilinear wave equations , on fixed expanding FLRW spacetimes, having spatial slices and undergoing…
Mass inflation from rough initial data for the spherically symmetric Einstein-Maxwell-scalar field system with
Flavio Rossetti
Recent rigorous results on black hole interiors clearly suggest that the strong cosmic censorship conjecture fails in its most fundamental, i.e. weak, formulation: violations are e…
Hyperboloidal approach for linear and non-linear wave equations in FLRW spacetimes
Flavio Rossetti, Alex Vañó-Viñuales
In this numerical work, we deal with two distinct problems concerning the propagation of waves in cosmological backgrounds. In both cases, we employ a spacetime foliation given in…
Strong cosmic censorship for the spherically symmetric Einstein-Maxwell-charged-Klein-Gordon system with positive : stability of the Cauchy horizon and extensions
Flavio Rossetti
We investigate the interior of a dynamical black hole as described by the Einstein-Maxwell-charged-Klein-Gordon system of equations with a cosmological constant, under spherical sy…
Decay of solutions of the wave equation in cosmological spacetimes -- a numerical analysis
Flavio Rossetti, Alex Vañó-Viñuales
We numerically evolve spherically symmetric solutions to the linear wave equation on some expanding Friedmann-Lemaître-Robertson-Walker (FLRW) spacetimes and study the respective a…
Explicit formulas and decay rates for the solution of the wave equation in cosmological spacetimes
Jose Natario, Flavio Rossetti
We obtain explicit formulas for the solution of the wave equation in certain Friedmann-Lemaitre-Robertson-Walker (FLRW) spacetimes. Our method, pioneered by Klainerman and Sarnak,…