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CATEGORIES:DAMTP Friday GR Seminar
SUMMARY:Linearised Second Law and Non-Minimal Vector Field
s - Zihan Yan\, University of Cambridge
DTSTART;TZID=Europe/London:20230210T130000
DTEND;TZID=Europe/London:20230210T140000
UID:TALK196729AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/196729
DESCRIPTION:In 2015\, Wall (arXiv:1504.08040) proposed an entr
opy formula for perturbatively dynamical black hol
es in higher curvature gravity. This entropy is de
fined to the first order of perturbations away fro
m a stationary bifurcate black hole background\, a
nd it is proved to satisfy a first law and a linea
rised second law. It’s been a question whether suc
h entropy definition is still valid if one include
s matter fields\, especially vector fields\, as th
ey will introduce seemingly problematic terms that
may make Wall’s entropy prescription invalid. In
our recent work\, we considered the most general t
heories in which vector fields (including non-gaug
e fields) are non-minimally coupled to higher curv
ature gravity\, and we proved that the “problemati
c” terms induced by vector fields vanish when inte
grated on compact black hole horizons at linear or
der in perturbation. This suggests Wall’s entropy
proposal is valid in presence of vector fields\, a
nd a linearised second law also holds. We also cal
culated the entropy formula for f(Riemann\, V\, \\
nabla V) theories\, as a general example.
LOCATION:Potter room/Zoom
CONTACT:Isobel Romero-Shaw
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