Collapsing open isotropic universe generated by nonminimally coupled scalar field

Details Collapsing open isotropic universe generated by nonminimally coupled scalar field Collapsing open isotropic universe generated by nonminimally coupled scalar field

1998-08-14

arxiv.org/abs/gr-qc/9808040v1

Phys.Lett. B447 (1999) 46-50

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, 3 ps files, submitted to Phys.Lett.B

Scientific paper

10.1016/S0370-2693(98)01581-0

We investigated the behavior of an open isotropic universe generated by a scalar field which couples with background curvature nonminimally with the coupling constant $\xi$. In particular we focus on the situation where the initial value for the scalar field $\phi_{\rm in}$ is greater than the critical value ${\hat \phi}_c$=${m_p}/{\sqrt{8\pi\xi(1-6\xi)}}$. The behavior is similar to an open de Sitter universe with $k=-1$ with a negative cosmological constant $\Lambda <0$. It is found that the universe will collapse eventually to a singularity and thus has a finite extent in time in the future. Furthermore, there are some cases which shows a rebouncing behavior before the final collapse.

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