Browsing by Subject "General Relativity"
Now showing items 1-4 of 4
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Proof of a Null Penrose Conjecture Using a New Quasi-local Mass.
(2017)In the theory of general relativity, the Penrose conjecture claims a lower bound for the mass of a spacetime in terms of the area of an outermost horizon, if one exists. In physical terms, this conjecture is a geometric ... -
Scalar Field Wave Dark Matter and Galactic Halos
(2021)The question of ``What is Dark Matter?" has been a focus of cosmological research since the turn of the 20th century. Though the composition of Dark Matter is unknown, the existence of Dark Matter is crucial to the modern ... -
Uniformly Area Expanding Flows in Spacetimes
(2014)The central object of study of this thesis is inverse mean curvature vector flow of two-dimensional surfaces in four-dimensional spacetimes. Being a system of forward-backward parabolic PDEs, inverse mean curvature vector ... -
Wave Dark Matter and Dwarf Spheroidal Galaxies
(2013)We explore a model of dark matter called wave dark matter (also known as scalar field dark matter and boson stars) which has recently been motivated by a new geometric perspective by Bray. Wave dark matter describes dark ...