17 research outputs found
On the Curvature Invariants of the Massive Banados-Teitelboim-Zanelli Black Holes and Their Holographic Pictures
In this paper, the curvature structure of a (2+1)-dimensional black hole in
the massive-charged-Born-Infeld gravity is investigated. The metric that we
consider is characterized by four degrees of freedom which are the mass and
electric charge of the black hole, the mass of the graviton field, and a
cosmological constant. For the charged and neutral cases separately, we present
various constraints among scalar polynomial curvature invariants which could
invariantly characterize our desired spacetimes. Specially, an appropriate
scalar polynomial curvature invariant and a Cartan curvature invariant which
together could detect the black hole horizon would be explicitly constructed.
Using algorithms related to the focusing properties of a bundle of light rays
on the horizon which are accounted by the Raychaudhuri equation, a procedure
for isolating the black hole parameters, as the algebraic combinations
involving the curvature invariants, would be presented. It will be shown that
this technique could specially be applied for black holes with zero electric
charge, contrary to the cases of solutions of lower-dimensional non-massive
gravity. In addition, for the case of massive (2+1)-dimensional black hole, the
irreducible mass, which quantifies the maximum amount of energy which could be
extracted from a black hole through the Penrose process would be derived.
Therefore, we show that the Hawking temperatures of these black holes could be
reduced to the pure curvature properties of the spacetimes. Finally, we comment
on the relationship between our analysis and the novel roles it could play in
numerical quark-gluon plasma simulations and other QCD models and also black
hole information paradox where the holographic correspondence could be
exploited.Comment: v3; 25 pages; 11 figures; 105 reference
Beyond AdS Space-times, New Holographic Correspondences and Applications
To describe Lifshitz and hyperscaling violating (HSV) phenomena in CM one
uses gauge fields on the gravity side which naturally realize the breaking of
Lorentz invariance. These gravity constructions often contain naked
singularities. In this thesis, we construct a resolution of the infra-red (IR)
singularity of the HSV background. The idea is to add squared curvature terms
to the Einstein-Maxwell dilaton action to build a flow from in
the ultra violate (UV) to an intermediating HSV region and then to an
region in the IR. This general solution is
free from the naked singularities and would be more appropriate for
applications of HSV in physical systems.
We also study the Schwinger effect by using the AdS/CFT duality. We present
the phase diagrams of the Schwinger effect and also the "butterfly shaped-phase
diagrams" of the entanglement entropy for four different confining supergravity
backgrounds. Comparing different features of all of these diagrams could point
out to a potential relation between the Schwinger effect and the entanglement
entropy which could lead to a method of measuring entanglement entropy in the
laboratory.
Finally, we study the "new massive gravity" theory and the different black
hole solutions it admits. We first present three different methods of
calculating the conserved charges. Then, by calculating the on-shell Gibbs free
energy we construct the Hawking-Page phase diagrams for different solutions in
two thermodynamical ensembles. As the massive gravity models are dual to
dissipating systems, studying the Hawking-Page diagrams could point out to
interesting results for the confinement-deconfinement phase transitions of the
dual boundary theories.Comment: 143 pages; PhD thesis based on arXiv:1404.5399, arXiv:1506.08557,
arXiv:1601.04403, arXiv:1606.04353; Defended on July. 6th, 201
Encoded information of mixed correlations: the views from one dimension higher
After reviewing the JT gravity, we discuss the four saddles in the mixed
correlation measures of black holes Hawking radiation in the setup of geometric
evaporation of \cite{Verheijden:2021yrb}. By looking from higher point of
view and partial dimensional reduction, we examine the phase structures and the
universalities for these four saddles. We also discuss the behavior of quantum
error correction codes for each of these four phases, reaching to consistent
results. Then, instead of dimension reduction between Einstein gravity and JT,
we try to explore the connections between partition functions and saddles of
Chern-Simons and BF theories, Liouville and
Wess-Zumino-Witten models, and also the dimensionally reduced Schwarzian
and particles on group. We specifically sketch on the connections between
these theories in the setup of mixed correlations and island formulation.Comment: 75 pages, 33 figures, v2: references added, v3: journal revision