Now showing items 1-4 of 4

    • Proof of a Null Penrose Conjecture Using a New Quasi-local Mass. 

      Roesch, Henri Petrus (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 

      Hamm, Benjamin (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 

      Xu, Hangjun (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 

      Parry, Alan Reid (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 ...