Kaluza-Klein dark energy model in Brans-Dicke theory of gravitation

A five dimensional Kaluza-Klein dark energy model with a variable equation of state (EoS) parameter and a constant deceleration parameter is considered in the scalar-tensor theory proposed by Brans and Dicke (Phys. Rev. 24:925, 1961). We have introduced three different skew ness parameters along spatial directions which are time dependent. The field equations have been solved by using (i) the trace of the energy tensor of the fluid vanishes, (ii) shear scalar is proportional to scalar expansion and (iii) special law of variation for Hubble’s parameter proposed by Bermann (Nuovo Cimento B 74:182, 1983). It is observed that in this case the EoS parameter turns out to be constant. Some physical and kinematical properties of the model obtained are also discussed.