Collapsing open isotropic universe generated by nonminimally coupled scalar field

Abstract

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 ${\varphi }_{\mathrm{in}}$ is greater than the critical value ${\hat{\varphi }}_c$=$m_p/\sqrt{8\pi \xi (1-6\xi )}$. 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.

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

References in corpus (2)

• Constraints on Cosmological Models from Hubble Space Telescope Observations of High-z Supernovae
• An Open Universe from Inflation

Cited by in corpus (2)

• Transformations between Jordan and Einstein frames: Bounces, antigravity, and crossing singularities
• Cosmology or Catastrophe? A non-minimally coupled scalar in an inhomogeneous universe