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SUMMARY:Linearised Second Law and Non-Minimal Vector Fields - Zihan Yan\, 
 University of Cambridge
DTSTART:20230210T130000Z
DTEND:20230210T140000Z
UID:TALK196729@talks.cam.ac.uk
CONTACT:Isobel Romero-Shaw
DESCRIPTION:In 2015\, Wall (arXiv:1504.08040) proposed an entropy formula 
 for perturbatively dynamical black holes in higher curvature gravity. This
  entropy is defined to the first order of perturbations away from a statio
 nary bifurcate black hole background\, and it is proved to satisfy a first
  law and a linearised second law. It’s been a question whether such entr
 opy definition is still valid if one includes matter fields\, especially v
 ector fields\, as they will introduce seemingly problematic terms that may
  make Wall’s entropy prescription invalid. In our recent work\, we consi
 dered the most general theories in which vector fields (including non-gaug
 e fields) are non-minimally coupled to higher curvature gravity\, and we p
 roved that the “problematic” terms induced by vector fields vanish whe
 n integrated on compact black hole horizons at linear order in perturbatio
 n. This suggests Wall’s entropy proposal is valid in presence of vector 
 fields\, and a linearised second law also holds. We also calculated the en
 tropy formula for f(Riemann\, V\, \\nabla V) theories\, as a general examp
 le.
LOCATION:Potter room/Zoom
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