Please look at following references
1) Physical Review D70 063582,2004
2) Physics Review letter 48;1220;198
3) link
http://en.wikipedia.org./wiki/DeSitteruniverse
4)A. Linde (1986). "Eternal chaotic inflation".
Mod. Phys. Lett. A1. A. Linde (1986). "Eternally existing self-reproducing chaotic inflationary universe".
Phys. Lett. B175.
5)A. Borde, A. Guth and A. Vilenkin (2003). "Inflationary space-times are incomplete in past directions".
Phys. Rev. Lett. 90. A. Borde (1994). "Open and closed universes, initial singularities and inflation".
Phys. Rev. D50. A. Borde and A. Vilenkin (1994). "Eternal inflation and the initial singularity".
Phys. Rev. Lett. 72.
6)
Andrei Linde, "Inflation and String Cosmology," eConf C040802 (2004) L024; J.Phys.Conf.Ser. 24 (2005) 151-160 (available from
arXiv:
hep-th/0503195 v1 24 Mar 2005). Anthony Aguirre, Steven Gratton,
Inflation without a beginning: A null boundary proposal, Phys.Rev. D67 (2003) 083515,
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7)Anthony Aguirre, Steven Gratton,
Steady-State Eternal Inflation, Phys.Rev. D65 (2002) 083507,
Dr. Pranab Kr Bhattacharya
www. unipathos.com