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 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.
Highlights
[8,9], topological charged hairy black holes [10], cosmic censorship [11], gravitational radiation [12] and hyperscaling violation [13]
We find the exact solutions to the five-dimensional Einstein–Maxwelldilaton theory where the dilaton field is coupled to both the electromagnetic field and the cosmological constant with two different coupling constants
Through the other Einstein and Maxwell field equations, we find the solutions for the metric function R(t) and the cosmological constant, as, the electromagnetic field strength Fμν, as given by
Summary
[8,9], topological charged hairy black holes [10], cosmic censorship [11], gravitational radiation [12] and hyperscaling violation [13]. Varying the Einstein–Maxwell-dilaton action (14) with and W satisfy, respect to the electromagnetic gauge field Aμ leads to the Maxwell field equations in five-dimensions, Mμ = ∇ν (e−4/3aφ Fμν ) = 0. Through the other Einstein and Maxwell field equations, we find the solutions for the metric function R(t) and the cosmological constant , as, the electromagnetic field strength Fμν, as given by,. It is noteworthy that our solutions to the Einstein– Maxwell-dilaton theory based on the four-dimensional Bianchi type IX metric, are completely independent of the constant k (which appears in the Bianchi type IX geometry and belongs to the interval 0 ≤ k ≤ 1). The second case leads to the solutions for the Einstein–Maxwell theory in the presence of the cosmological constant
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
