QC571 : Holographic flow from the Ads boundary to the singularity of a hairy black hole in massive gravity
Thesis > Central Library of Shahrood University > Physics > MSc > 2022
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Abstarct: Abstract
In this thesis, we explore the internal structure of a hairy black hole in the context
of non-linear massive gravity. We first consider the case of neutral scalar field, we show
in the presence of non-trivial scalar field, there would be no cauchy horizon and also
the instability of the cauchy horizon triggered by the scalar field is associated to a rapid
collapse of the Einstein-Rosen bridge. Finally we will see near the spacelike singularity
geometry takes a general Kasner form. After reviewing the case of neutral scalar field, we
examine the impact of charged scalar field. Like a standard holographic superconductor
system,just below the critical temperature, the interior evolves through several distinct
epochs, including a collapse of the Einstein-Rosen bridge, Josephson oscillations of the
scalar field, and finally a Kasner(or Kasner inversion) cosmology. However, for the large
massive gravity parameter, we see distinguishing features for the interior dynamics. In
this respect, at a given temperature, the Einstein-Rosen bridge collapse and subsequent
Josephson oscillations epochs completely disappear from the interior dynamics and the
final Kasner cosmology epoch starts exactly after the would-be inner horizon and the
system does not experience the Kasner inversion epoch.
Keywords:
#Keywords: Hairy black hole; Massive gravity; Kasner Singularity Keeping place: Central Library of Shahrood University
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