4 papers
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 undergoin…
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…
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…