Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 100 for “"spacetimes"”.
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Physics on Noncommutative Spacetimes
… algebra of functions defined on it. We call such spacetimes 'noncommutative spacetimes'. This dissertation probes physics on several such spacetimes. These include compact noncommutative spaces called fuzzy spaces and noncompact spacetimes. The compact examples we look at are the fuzzy sphere and …
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Asmptotically Plane Wave Spacetimes
In this thesis we study aspects of plane wave spacetimes in the hope of shedding light of the nature of holography for plane waves. In particular, we would like to understand better the space of asymptotically plane wave solutions. We first review the necessary background on plane waves, …
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Rotating black hole spacetimes
"A new family of initial data sets, along with a study of their evolutions including apparent horizons, event horizons and gravitational radiation, is presented. These initial data sets represent distorted rotating black holes, and two types of non-rotating black holes with odd-parity radiation …
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Instabilities in asymptotically AdS spacetimes
… of $n$-dimensional asymptotically anti-de Sitter spacetimes $(\mathcal{M},g)$ as solutions to the Einstein vacuum equations \begin{align*} \mathrm{Ric}(g)=\frac{2}{n-2}\Lambda\, g \end{align*} with negative cosmological constant $\Lambda$. This has been motivated mainly by the conjectured …
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Wave Equations on Curved Spacetimes
… give rise to wave equations on curved spacetimes. We investigate the classical stability of supersymmetric, asymptotically flat microstate geometries with 5 non-compact dimensions. These geometries possess an evanescent ergo-surface, where there are stably trapped null geodesics that …
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Numerical relativity in black hole spacetimes
… 3 + 1 numerical relativity study of black hole spacetimes. The main result of this thesis is the development of a new technique for avoiding singularities in such spacetimes. In this technique the slices are allowed to penetrate the black hole, but only the region of spacetime outside the …
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Numerical MHD Simulations in Dynamical Spacetimes
Numerical relativity probes some of the most energetic events in the universe using computer simulations. These simulations must account for the relevant physical processes while, at the same time, evolving the spacetime according to Einstein's equations of general relativity. In particular, …
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Signature change in spherical vacuum spacetimes
This thesis follows the approach of papers (1, 2) by exploring signature changes in other metrics. The metrics we chose to investigate are the Schwarzschild metric and the Tolman metric. The Schwarzschild metric was originally chosen in order to investigate whether the neighborhood of the …
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Something to do with Schrödinger spacetimes
We present a brief review of the AdS/CFT correspondence and the progress made toward building a realistic gravity/gauge theory duality for a non-relativistic conformal field theory. In particular, we highlight many of the computational tools necessary for such a program before introducing one such …
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Nonlinear Waves on Extremal Black Hole Spacetimes
… on extremal Reissner-Nordstrom black hole spacetimes.Under the assumption of spherical symmetry I show that solutions which arise from sufficiently small compactly supported smooth data prescribed on a Cauchy hypersurface \widetilde{\Sigma}_0 crossing the future event horizon …
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A numerical study of 3D black hole spacetimes
… from numerical evolutions of vacuum black hole spacetimes in 3D Cartesian coordinates. We first studied the Schwarzschild spacetime, comparing extensively with lD studies. We show that although accurate 3D evolutions are possible, there are a number of difficulties in evolving 3D black holes, …
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Fermion Quantum Field Theory In Black-hole Spacetimes
… a fermion quantum field theory in black-hole spacetimes is an acute one. The study of gravitational collapse necessitates the need of such. In this dissertation, we construct the theory of free fermions living on the static Schwarzschild black-hole and the rotating Kerr black-hole. The …
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Lorentzian Poisson homogeneous spaces, quantum groups and noncommutative spacetimes
El objetivo de esta Tesis Doctoral es el estudio de ciertas deformaciones cuánticas de los grupos cinemáticos Lorentzianos (Poincaré y (anti-)de Sitter), sus espacios homogéneos cuánticos asociados, y algunas de sus consecuencias físicas. En particular, se construye el espacio no conmutativo de …
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A Numerical Study of Three-Dimensional Black Hole Spacetimes
… from numerical evolutions of vacuum black hole spacetimes in 3D Cartesian coordinates. We first studied the Schwarzschild spacetime, comparing extensively with 1D studies. We show that although accurate 3D evolutions are possible, there are a number of difficulties in evolving 3D black holes, …
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A study of integrability conditions for irrotational dust spacetimes
This thesis examines consistency conditions for fluid solutions of the field equations of general relativity. The exact non-linear dynamic equations for a generic irrotational dust spacetime are consistent. To analyse conditions characterizing pure gravity waves, linearization instability in …
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Quantum Effects of Scalar Fields in Black Hole and Cosmological Spacetimes
… It is shown that, for physically realistic spacetimes, and for reasonable choices of the state of the quantum field, there is no evidence that quantum effects become important prior to the point where the scalar curvature reaches the Planck scale.
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Numerical Construction of Gravitational Solutions in Asymptotically Anti-de Sitter Spacetimes
Asymptotically anti-de Sitter (AdS) spacetimes display intriguing phenomena which have recently sparked increasing interest in the research of gravitational solutions in these spaces. Considerable motivation stems from gauge/gravity duality, which is a conjecture relating classical gravity with a …
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A Mathematical Study of Hawking Radiation on Collapsing, Spherically Symmetric Spacetimes
In this thesis, we give a mathematical treatment of the late time Hawking radiation of massless bosons emitted by a family of collapsing, spherically symmetric, charged models of black hole formation, including both extremal and sub-extremal black holes. We further bound the rate at which the late …
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