Browsing Science (Faculty of) by Subject "general relativity"
Now showing items 1-13 of 13
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At the Corner of Space and Time
(University of Waterloo, 2019-12-09)We perform a rigorous piecewise-flat discretization of classical general relativity in the first-order formulation, in both 2+1 and 3+1 dimensions, carefully keeping track of curvature and torsion via holonomies. We show ... -
Beyond General Relativity: New Structure and Stability Predictions from Modified Gravity and High-Density Interaction Models
(University of Waterloo, 2022-09-29)In this thesis a number of topics are explored in an attempt to further understand gravitation and highly dense matter on a fundamental level. The notion of “quark stars” (QS), hypothetical compact stars composed of quark ... -
Canonical Structure and Conservation Laws of General Relativity on Null Surfaces and at Null Infinity
(University of Waterloo, 2021-01-12)The first part of this thesis addresses the canonical structure of general relativity on generic null surfaces. The pre-symplectic potential of metric general relativity, evaluated on a null surface, is decomposed into ... -
Extended thermodynamics of Taub-NUT and Einstein-scalar spacetimes
(University of Waterloo, 2021-08-12)The main objective of this thesis is to summarize recent developments on the thermodynamics of both AdS Einstein-scalar spacetimes and Lorentzian Taub-NUT spacetimes. We summarize and apply well-known techniques in black ... -
The Nature and Impact of Active Galactic Nuclei
(University of Waterloo, 2021-08-12)The gravitational interaction around the event horizon of black holes presents theoretical challenges. With the advent of the Event Horizon Telescope (EHT), we are now entering an era in physics where we can probe the ... -
Physics in Higher-Dimensional Manifolds
(University of Waterloo, 2003)In this thesis, we study various aspects of physics in higher-dimensional manifolds involving a single extra dimension. After giving some historical perspective on the motivation for studying higher-dimensional theories ... -
A Quasilocal Hamiltonian for Gravity with Classical and Quantum Applications
(University of Waterloo, 2000)I modify the quasilocal energy formalism of Brown and York into a purely Hamiltonian form. As part of the reformulation, I remove their restriction that the time evolution of the boundary of the spacetime be orthogonal ... -
Rigid Quasilocal Frames
(University of Waterloo, 2014-01-23)This thesis begins by introducing the concept of a rigid quasilocal frame (RQF) as a geometrically natural way to define an extended system in the context of the dynamical spacetime of general relativity. An RQF is defined ... -
Semi-Analytic Radiatively Inefficient Accretion Flows in General Gravity
(University of Waterloo, 2018-01-05)The Event Horizon Telescope is capable of observing black holes on event-horizon scales and we can use it to explore deviations from General Relativity. We replicate the results of a previous study using a Newtonian ... -
Single Killing Vector Gauss-Bonnet Boson Stars and Single Killing Vector Hairy Black Holes in D>5 Odd Dimensions
(University of Waterloo, 2014-05-21)I construct anti-de Sitter boson stars in Einstein-Gauss-Bonnet gravity coupled to a (D-1)/(2)-tuplet of complex massless scalar field both perturbativelyand numerically in D=5,7,9,11 dimensions. Due to the choice of ... -
A Subclass of Exceptional Parallel Self-similar G2 Cosmologies
(University of Waterloo, 2019-05-13)We perform a qualitative and asymptotic analysis of a particular class of cosmological models, namely the exceptional G2 perfect fluid and vacuum models that are additionally self-similar with the fluid flow lying tangential ... -
Toward Canonical General Relativity in the Loop Gravity Phase Space
(University of Waterloo, 2014-01-07)The continuous, kinematical Hilbert space of loop quantum gravity is built upon a family of spaces $\mathcal{H}_\Gamma$, each associated to a different \textit{graph} $\Gamma$, i.e. a network of interconnected one-dimensional ... -
Unruh-DeWitt detector response along static and circular-geodesic trajectories for Schwarzschild-AdS black holes
(University of Waterloo, 2014-08-26)We present novel methods to numerically address the problem of characterizing the response of particle detectors in curved spacetimes. These methods allow for the integration of the Wightman function, at least in principle, ...