Gravitation, local supersymmetry and higher spin fields: asymptotically flat structure in 3D and anisotropic scaling in higher odd dimensions.
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Date
2014
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Publisher
Universidad de Concepción
Abstract
The idea that spacetime may have more than four dimensions has become a standard assumption
in high energy physics. A natural extension of General Relativity in higher spacetime
dimensions that requires the same basic principles, namely, general covariance, second-order
equations for the metric and the conservation of stress-energy tensor, is known as Lovelock theory.
This theory possesses additional coupling constants that are not xed from rst principles.
Remarkably, in odd dimensions, for a precise tuning of these constants, the theory turns out to
be equivalently described as a gauge theory with Chern-Simons action.
It is in the context of Lovelock theory, that asymptotically Lifshitz wormholes and black
holes in vacuum are shown to exist in d = 2n + 1 > 7 dimensions. The coupling constants are
selected by requiring that all but one of their n maximally symmetric vacua are AdS spacetimes
of radius l and degenerate. The asymptotic behaviour of these solutions is described by Lifshitz
spacetimes with a dynamical exponent determined by a precise quotient of the curvature radii
of the maximally symmetric vacua and the nondegenerate one. Besides, the asymptotically
Lifshitz black hole possesses a xed Hawking temperature. Further analytic solutions, including
pure Lifshitz spacetimes with a nontrivial geometry at the spacelike boundary, and wormholes
that interpolate between asymptotically Lifshitz spacetimes with diferent dynamical exponents
are also shown to exist.
Description
Thesis submitted for the degree of Doctor in Physics.
Keywords
Espacio y Tiempo, Cuarta Dimensión, Relatividad (Física), Física Matemática - Teoría Asintótica.