Did the Pseudo-Sphere Universe have a Beginning?

Details Did the Pseudo-Sphere Universe have a Beginning? Did the Pseudo-Sphere Universe have a Beginning?

1993-08-12

arxiv.org/abs/gr-qc/9308013v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

42 pages (plus 8 figures available from the author as ordinary copies), plain TeX, NCL-93/TP-5

Scientific paper

A calculation of the no-boundary wave-function of the universe is put forward for a spacetime with negative curvature. A semi-classical Robertson-Walker approximation is attempted and two solutions to the field equations, one Lorentzian and the other a tunneling one are found. The regularity of those solutions are analysed explicitly, both in 2+1 and 3+1 dimensions and a conical singularity is found at the origin of the time axis, contradicting the no-boundary assumption.

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