New Class Of Exact Solutions To Einstein-Maxwell-Dilaton Theory On Four-Dimensional Bianchi Type IX Geometry
Date
2020-08-13
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
ORCID
Type
Thesis
Degree Level
Masters
Abstract
We construct new classes of cosmological solution to the five dimensional Einstein-Maxwell-dilaton theory, that are non-stationary and almost conformally regular everywhere. The base geometry for the solutions is the four-dimensional Bianchi type IX geometry.
In the theory, the dilaton field is coupled to both the electromagnetic field and the cosmological constant term, with two different coupling constants. We consider all possible solutions with different values of the coupling constants, where the cosmological constant takes any positive, negative or zero values.
In the ansatzes for the metric, dilaton and electromagnetic fields, we consider dependence on time and two spatial directions. We also consider a special case of the Bianchi type IX geometry, in which the geometry reduces to that of Eguchi-Hanson type II geometry and find a more general solution to the theory.
Description
Keywords
Exact solutions, Einstein Maxwell dilaton theory, General relativity, Bianchi type IX geometry, gravity, higher dimensions, Eguchi Hanson
Citation
Degree
Master of Science (M.Sc.)
Department
Physics and Engineering Physics
Program
Physics