Event type
Event date
Venue
On-site: Room TBD
Speaker
Marcelo Rubio (SISSA, Trieste)
Dynamical equations exhibiting an anisotropic scaling between space
and time admit a dispersive nature, as they contain higher-order spatial derivatives,
but remain second order in time. This is the case of a class of Lorentz-violating
theories of gravity, and this feature results inconvenient for performing long-time
numerical evolutions with standard explicit schemes.
In this talk I will introduce a novel scheme which is implicit, stable and second-order
In this talk I will introduce a novel scheme which is implicit, stable and second-order
accurate, for sufficiently large time steps. As a proof of concept, we will apply it for
evolving the Lifshitz scalar field on top of a spherically symmetric black hole space-time.
Our results indicate that the dispersive terms produce a cascade of modes that
Our results indicate that the dispersive terms produce a cascade of modes that
accumulate in the region in between the Killing and universal horizons, indicating a
possible instability of the latter.