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 20 for “"black hole spacetimes"”.
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Rotating black hole spacetimes
… initial data sets represent distorted rotating black holes, and two types of non-rotating black holes with odd-parity radiation distortions. The first has the equatorial plane symmetry of the Kerr spacetime, the second has the equatorial plane symmetry of the ""cosmic screw"" spacetime."
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Numerical relativity in black hole spacetimes
… for the 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 …
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Nonlinear Waves on Extremal Black Hole Spacetimes
… null condition 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
… results 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 …
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Fermion Quantum Field Theory In Black-hole Spacetimes
… to construct 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. …
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A Numerical Study of Three-Dimensional Black Hole Spacetimes
… results 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 …
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Modeling the Dynamics of Black Hole Systems and the Ringdown of Black Hole Spacetimes
… observing gravitational waves from merging black holes in 2015, theoretical models had already been developed which would greatly contribute to the interpretation of that data. Thanks to numerical relativity, the merger of isolated near-equal mass ratio binary black holes, and the …
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On the initial value problem in general relativity and wave propagation in black-hole spacetimes
… by giving applications of this result to black hole spacetimes. Recalling that the wave equation can be considered a “poor man’s” linearisation of the Einstein equations, these applications are of interest for a better understanding of the black hole stability conjecture, which states that …
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Horizons, hyperbolic systems, and inner boundary conditions in numerical relativity
… aspects of evolving and understanding dynamical black hole spacetimes. We discuss finding and understanding the event horizon (EH), which is the causal boundary separating the black hole interior from its exterior, in dynamical black hole spacetimes. In the EH studies, we formulate a set of tools …
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Black holes and Berry's phase : some aspects of geometry in physics
… backreaction resulting from particle creation by black holes is examined from several vantage points. We first focus attention on the occurrence of the Berry phase in certain situations. This gives some insight into the geometry of quantum mechanics. Then we turn our attention to the analysis of …
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BLACK HOLES AND SOLUTION GENERATING TECHNIQUES
Multi-black hole solutions play a relevant role both from the theoretical and the phenomenological point of view. In this Thesis, we construct some regular multi-black hole spacetimes in pure Einstein’s General Relativity with the aid of solution generating techniques. We begin with a perspective …
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Large Gauge Transformations and Black Hole Entropy
… can act non-trivially on the boundary of spacetimes. Of particular importance are the $\textit{BMS group}$ of transformations, originally found by Bondi, Metzner, van der Burg and Sachs. They describe the symmetries of asymptotically flat spacetimes. We first consider symmetries such as …
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The Gregory--Laflamme Instability and Conservation Laws for Linearised Gravity
This thesis is concerned with the black hole stability problem in general relativity. In particular, it presents stability and instability results associated to the linearised vacuum Einstein equation on black hole backgrounds. The first chapter of this thesis gives a direct rigorous mathematical …
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Quasinormal Modes of Nearly Extremal Black Holes
… striking a bell; like many physical systems, black holes emit radiation as a response to perturbations. After a dynamical event, for example a black hole merger, the system is expected to relax to a stationary black hole solution. After sufficient time, the system can be treated as a …
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Frequency domain approach to self-force calculations
… we consider the motion of the particle in black hole spacetimes. As a toy model for the most astrophysically relevant scenario of orbits about a rotating black hole we first study the scalar-field self-force (SSF)experienced by a scalar charge moving on a fixed geodesic in Kerr spacetime …
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Linear and non-linear collisionless many-particle systems
… Vlasov--Poisson system, in the torus and the whole space. The main result is based on quantitative a priori estimates for the Gevrey norm and the radius of Gevrey regularity of the solution, in terms of the force field and the volume of the momentum support of the distribution function. …
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Linear waves on higher dimensional Schwarzschild black holes and Schwarzschild de Sitter spacetimes
… linear waves on higher dimensional Schwarzschild black holes and Schwarzschild de Sitter spacetimes. In the first part of this thesis two decay results are proven for general finite energy solutions to the linear wave equation on higher dimensional Schwarzschild black holes. I establish uniform …
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Computing the Evolution of Compact Stars in 3+1 General Relativity
Submitted by Meng Tao (mengtao2@illinois.edu) on 2012-10-11T20:49:42Z No. of bitstreams: 1 Duez.pdf: 3795918 bytes, checksum: ff01a186d01a5f11063c41f4b96e1478 (MD5)
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Topological phases, non-equilibrium dynamics and parallels of black hole phenomena in condensed matter
… Majorana modes in Kitaev chain and parallels of black hole phenomena in the quantum Hall effect. Majorana modes in topological superconductors are of fundamental importance as realizations of real solutions to the Dirac equation and for their anyonic exchange statistics. They are realised as zero …