New Class Of Exact Solutions To Einstein-Maxwell-Dilaton Theory On Four-Dimensional Bianchi Type IX Geometry
Date
2020-08-13Author
Hosseinzadeh Fahim, Bardia
Type
ThesisDegree Level
MastersMetadata
Show full item recordAbstract
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.
Degree
Master of Science (M.Sc.)Department
Physics and Engineering PhysicsProgram
PhysicsSupervisor
Ghezelbash, MasoudCommittee
Sowa, Artur; Dick, Rainer; Pywell, Rob; Koustov, AlexanderCopyright Date
July 2020Subject
Exact solutions
Einstein Maxwell dilaton theory
General relativity
Bianchi type IX geometry
gravity
higher dimensions
Eguchi Hanson