A nonsingular model of the universe
Dissertant
Thesis advisor
Comitee Members
University
Birzeit University
Faculty
Faculty of Engineering and Technology
Department
Department of Computer Science
University Country
Palestine (West Bank)
Degree
Master
Degree Date
2008
English Abstract
The infinities or singularities (points of space-time where the curvature blows up) are considered as serious problems in physics.
Classical general relativity predicts space-time singularities.
This theory does not give an enough description of the behavior of the space-time in the high curvature regions.
On the other hand, in quantum field theory there are other kinds of singularities coming from the nonrenormalizability of this theory.
Moreover, there are several problems in cosmology such as the horizon and flatness problem.
All these considerations point in the direction of the Limiting Curvature Hypothesis (LCH).
This hypothesis provides natural solutions to gravitational singularities and introduces a more realistic cosmological model.
According to this hypothesis, the curvature of space-time at any point can never be larger that certain limiting value.
In order to implement this hypothesis, we must modify the general relativity by introducing a limiting value for the curvature ; this can be done by modifying Einstein’s field equations : Rμv-Rμv= -1/2 8πGTμv By inserting a cosmological constant Λ, which is the limiting value of curvature, the modified field equations are : Rμν-1/2 Rgμν- 1/4 Λ (1-√1 R2/Λ2) gμν = 8π GTμν At low curvatures, when R is very small, the new equations are reduced to Einstein’s field equations.
In chapter 2, we introduced the modified field equations which satisfy LCH and found first and second order differential equations from the time-time and space space components of the field equations for both matter and radiation universes and for different kinds of geometries of space-time, we also obtained nonsingular spherically symmetric solution that represent a giant star when it collapses to form a black hole.
In chapter 3, we solved the differential equations numerically and found nonsingular solutions and we plotted these solutions.
Main Subjects
No. of Pages
95
Table of Contents
Table of contents.
Abstract.
Chapter one : Introduction.
Chapter two : Theoretical background.
Chapter three : Numerical solutions of the cosmological equations.
Chapter four : Analysis and Comments.
References.
American Psychological Association (APA)
Abd al-Latif, Muhammad Salih. (2008). A nonsingular model of the universe. (Master's theses Theses and Dissertations Master). Birzeit University, Palestine (West Bank)
https://search.emarefa.net/detail/BIM-303315
Modern Language Association (MLA)
Abd al-Latif, Muhammad Salih. A nonsingular model of the universe. (Master's theses Theses and Dissertations Master). Birzeit University. (2008).
https://search.emarefa.net/detail/BIM-303315
American Medical Association (AMA)
Abd al-Latif, Muhammad Salih. (2008). A nonsingular model of the universe. (Master's theses Theses and Dissertations Master). Birzeit University, Palestine (West Bank)
https://search.emarefa.net/detail/BIM-303315
Language
English
Data Type
Arab Theses
Record ID
BIM-303315
