Rotating cylindrically symmetric Kaluza-Klein fluid model

RAMESH TIKEKAR¹ and L K PATEL²

¹ Department of Mathematics, S.P. University,Vallabh Vidyanagar 388 120, India

² Department of Mathematics, Gujarat University, Ahmedabad 380 009, India

Email: tikekar@spu.ernet.in

Abstract.

Kaluza-Klein field equations for stationary cylindrically symmetric fluid models in standard Einstein theory are formulated and a set of physically viable solutions is reported. This set is believed to be the first such Kaluza-Klein solutions and it includes the Kaluza-Klein counterpart of Davidson's solution describing spacetime of a perfect fluid in rigid rotation about a regular axis.

Keywords: Rotating fluids; Kaluza-Klein model.

Pacs No. 4.50.+h; 4.20.Jb; 98.80.Hw