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VERSION:2.0
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SUMMARY:Numerical evolution of well-posed field theories with anisotropic 
 scaling
DTSTART:20231123T143000Z
DTEND:20231123T160000Z
DTSTAMP:20260910T151807Z
UID:8e6ebc9b-440e-40df-9fe7-82b9f0c00b17
SEQUENCE:2
CREATED:20231121T113350Z
DESCRIPTION:ABSTRACT: Dynamical equations exhibiting an anisotropic scalin
 g between space and time admit a dispersive nature\, as they contain highe
 r-order spatial derivatives\, but remain second order in time. This is the
  case of a class of Lorentz-violating theories of gravity\, and this featu
 re results inconvenient for performing long-time numerical evolutions with
  standard explicit schemes. In this talk I will introduce a nobel scheme w
 hich is implicit\, stable and second-order accurate\, for sufficiently lar
 ge time steps. As a proof of concept\, we will apply it for evolving the L
 ifshitz scalar field on top of a spherically symmetric black hole space-ti
 me. Our results indicate that the dispersive terms produce a cascade of mo
 des that accumulate in the region in between the Killing and universal hor
 izons\, indicating a possible instability of the latter. 
LAST-MODIFIED:20231121T114512Z
LOCATION:Sala de Seminários do DF\,  Pavilhão de Física\, 2º piso
URL:http://df.vps.tecnico.ulisboa.pt/pt/eventos/numerical-evolution-of-wel
 l-posed-field-theories-with-anisotropic-scaling/
X-ALT-DESC;FMTTYPE=text/html:<p data-block-key="3addx">ABSTRACT: Dynamical
  equations exhibiting an anisotropic scaling between space and time admit 
 a dispersive nature\, as they contain higher-order spatial derivatives\, b
 ut remain second order in time. This is the case of a class of Lorentz-vio
 lating theories of gravity\, and this feature results inconvenient for per
 forming long-time numerical evolutions with standard explicit schemes.<br/
 ><br/> In this talk I will introduce a nobel scheme which is implicit\, st
 able and second-order accurate\, for sufficiently large time steps. As a p
 roof of concept\, we will apply it for evolving the Lifshitz scalar field 
 on top of a spherically symmetric black hole space-time. Our results indic
 ate that the dispersive terms produce a cascade of modes that accumulate i
 n the region in between the Killing and universal horizons\, indicating a 
 possible instability of the latter. </p>
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