Extended anisotropic models in noncompact Kaluza-Klein theory

Jun 10, 2018
19 pages
Published in:
  • Class.Quant.Grav. 36 (2019) 7, 075010
  • Published: Mar 12, 2019
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Abstract: (IOP)
In this paper, new exact solutions for locally rotational symmetric (LRS) space-times are obtained within the modified Brans–Dicke theory (MBDT) (Rasouli et al 2014 Class. Quantum Grav. 31 115002). Specifically, extended five-dimensional (5D) versions of Kantowski–Sachs, LRS Bianchi type I and Bianchi type III are investigated in the context of the standard Brans–Dicke theory. We subsequently extract their corresponding dynamics on a 4D hypersurface. Our results are discussed regarding others obtained in the standard Brans–Dicke theory, induced-matter theory and general relativity. Moreover, we comment on the evolution of the scale factor of the extra spatial dimension, which is of interest in Kaluza–Klein frameworks.
Note:
  • 19 pages, 4 figures
  • extended Kantowski-Sachs
  • Bianchi types I and III cosmologies
  • scalar-tensor theories
  • modified Brans-Dicke theory
  • noncompact Kaluza-Klein theories
  • induced-matter theory
  • extra dimension
  • Kaluza-Klein model: noncompact
  • tensor: energy-momentum
  • background: geometry