GJC: Marcelo Rubio "Anisotropic scaling, Lifshitz evolutions and gravitational collapse in Hořava gravity"

Wednesday 20 Mar 2024, 13:00 → 14:00 Europe/Rome

Sala Lauree (Marconi)

Dynamical equations of a class of Lorentz-violating (LV) theories of gravity (such as those of 

Hořava-Lifshitz), exhibit an anisotropic scaling between space and time. This implies that they

admit a "dispersive" nature, as they contain higher-order spatial derivatives while remaining 

second order in time. This feature results in an inconvenience for performing long-time numerical evolutions using standard explicit methods.

In order to address this issue, we 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 to 

the evolution of the Lifshitz scalar field on top of a spherically-symmetric LV black hole space-time. 

After pointing out some interesting features characterizing the corresponding dynamics, we will 

comment on how this technique could be applied for evolving a collapse in the full Hořava-Lifshitz theory.

 

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Meeting ID  : 831 3864 4268
Passcode : 626963