On signature transition in Robertson-Walker cosmologies

Details On signature transition in Robertson-Walker cosmologies On signature transition in Robertson-Walker cosmologies

1999-10-06

arxiv.org/abs/gr-qc/9910020v1

Int.J.Mod.Phys. A15 (2000) 1521-1531

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages plus 4 postscript figures. To appear in the Int. J. Mod. Phys. A

Scientific paper

10.1142/S0217751X00000689

We analyse a classical model of gravitation coupled to a self interacting scalar field. We show that, within the context of this model for Robertson-Walker cosmologies, there exist solutions in the spatially non-flat cases exhibiting transitions from a Euclidean to a Lorentzian spacetime. We then discuss the conditions under which these signature changing solutions to Einstein's field equations exist. In particular, we find that an upper bound for the cosmological constant exists and that close to the signature changing hypersurface, both the scale factor and the scalar field have to be constant. Moreover we find that the signature changing solutions do not exist when the scalar field is massless.

Affiliated with

Also associated with

No associations

Rating

On signature transition in Robertson-Walker cosmologies does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On signature transition in Robertson-Walker cosmologies, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On signature transition in Robertson-Walker cosmologies will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-528762