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Full-Text Articles in Cosmology, Relativity, and Gravity
On The Existence And Uniqueness Of Static, Spherically Symmetric Stellar Models In General Relativity, Josh Michael Lipsmeyer
On The Existence And Uniqueness Of Static, Spherically Symmetric Stellar Models In General Relativity, Josh Michael Lipsmeyer
Masters Theses
The "Fluid Ball Conjecture" states that a static stellar model is spherically symmetric. This conjecture has been the motivation of much work since first mentioned by Kunzle and Savage in 1980. There have been many partial results( ul-Alam, Lindblom, Beig and Simon,etc) which rely heavily on arguments using the positive mass theorem and the equivalence of conformal flatness and spherical symmetry. The purpose of this paper is to outline the general problem, analyze and compare the key differences in several of the partial results, and give existence and uniqueness proofs for a particular class of equations of state which represents …
Gaussian Cosmology: A New Model For The Accelerated Expansion Of The Universe, Brian Robert Neils Strigel
Gaussian Cosmology: A New Model For The Accelerated Expansion Of The Universe, Brian Robert Neils Strigel
Senior Projects Fall 2015
In this paper I lay the groundwork for an alternative model for the contemporary expansion of the universe. The current model states that the universe is growing exponentially due to the vacuum of space pulling on it. This model states that the growth rate of the universe is linear in time. However in 1998, researchers suggested that the expansion rate of the universe is accelerating. This means the universe is not expanding logarithmically, not linearly. In my model, I lay the groundwork for future research and suggest that the universe develops in time in accordance to a Gaussian scale factor …
Static Interaction Of Black Holes In 1+1 Dimensions, Philip Greenwood
Static Interaction Of Black Holes In 1+1 Dimensions, Philip Greenwood
Physics
We consider a version of general relativity in two spacetime dimensions, and
study a solution describing two static black holes in the presence of a cosmological
constant. We first analytically find an embedding diagram to visualize the geometry
outside the black holes. We then examine how the two black holes must be
interacting to remain static. Our main result is to show how the black holes behave
effectively like two electric charges. This charge model exhibits both attraction and
repulsion, which evidently balance and moreover are localized in different regions
of space. We also begin an investigation of the black …