Mañana, JUEVES, 24 DE ABRIL, el sistema se apagará debido a tareas habituales de mantenimiento a partir de las 9 de la mañana. Lamentamos las molestias.
Higher-Curvature Gravity, Black Holes and Holography
Entity
UAM. Departamento de Física Teórica; Instituto de Física Teórica (IFT)Date
2019-09-19Funded by
Esta tesis ha sido posible gracias a la financiación que he recibido por parte de la Fundación “la Caixa” a través de una beca “la Caixa - Severo Ochoa” asociada al Instituto de Física Teórica UAM-CSICSubjects
Gravitación - Tesis doctorales; Agujeros negros (Astronomía) - Tesis doctorales; Holografía - Tesis doctorales; FísicaNote
Tesis Doctoral inédita leída en la Universidad Autónoma de Madrid. Facultad de Ciencias, Departamento de Física Teórica. Fecha de Lectura: 19-09-2019Esta obra está bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.
Abstract
Higher-curvature theories of gravity are extensions of General Relativity (GR) that arise
in effective descriptions of quantum gravity theories, such as String Theory. While at
low energies the behaviour of the gravitational field in higher-curvature gravities is almost
indistinguishable from the one predicted by GR, the differences can be dramatic in
extreme gravity scenarios, such as in the case of black holes (BHs). It is therefore an
exciting task to study how black hole geometries are modified by higher-curvature corrections,
with the hope that some problematic characteristics of BHs observed in GR could
be improved, providing hints on the effects of an underlying UV-complete theory of gravity.
However, there are some difficulties associated with higher-derivative theories, such
as the existence of instabilities, propagation of ghost modes, or simply the extreme complexity
of the differential equations governing the dynamics of the gravitational field. In
this thesis we identify a new family of higher-curvature gravities that avoid some of these
problems. Known as Generalized quasi-topological gravities (GQGs), such theories represent
extensions of GR that are free of instabilities and ghosts at the linear level, and whose
equations of motion for static, spherically symmetric spaces acquire a sufficiently simple
form so as to allow for the non-perturbative study of black hole solutions. The simplest
non-trivial member of this family in four dimensions — and also the first one to be discovered
— is known as Einsteinian cubic gravity, and it will have a starring role in this
thesis. Besides the intrinsic interesting properties of GQGs, we argue that they capture
the most general higher-derivative correction to GR when field redefinitions are included
into the game. Then, we use these theories to study the non-perturbative corrections to
the Schwarzschild black hole in four dimensions and we focus our attention on the modified
thermodynamic relations. The most impressive prediction of these theories is that the
Hawking temperature of static, neutral black holes vanishes in the zero-mass limit instead
of diverging — which is the answer predicted by GR. As a consequence, small black holes
become thermodynamically stable and their evaporation process takes an infinite time. In
addition, higher-curvature gravities find very rewarding applications in the Anti-de Sitter/
Conformal Field Theory (AdS/CFT) correspondence, a duality that relates a classical
theory of gravity in AdS space to a quantum field theory that lives in the boundary of
AdS. In this context, holographic higher-curvature gravities are useful toy models that we
can use, for instance, to extract general lessons about the dynamics of CFTs or to question
the generality of the predictions of holographic Einstein gravity. In this thesis we explore
the holographic applications of four-dimensional Einsteinian cubic gravity, which provides
a toy model for a non-supersymmetric holographic CFT in three dimensions. In addition,
we construct new Euclidean-AdS-Taub-NUT solutions, which are dual to conformal field
theories placed on squashed spheres. Using these results, we derive a universal expression
for the expansion of the free energy of three-dimensional CFTs on squashed spheres up to
cubic order in the deformation parameter.
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Texto de la Tesis Doctoral
Google Scholar:Cano Molina-Niñirola, Pablo Antonio
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