Deon Solomons et al 2006 Class. Quantum Grav. 23 6585 doi:10.1088/0264-9381/23/23/001
Bounce behaviour in Kantowski–Sachs and Bianchi cosmologies
Deon Solomons1, Peter K S Dunsby2,3 and George F R Ellis2
Show affiliationsMany cosmological scenarios envisage either a bounce of the universe at early times, or collapse of matter locally to form a black hole which re-expands into a new expanding universe region. Energy conditions preclude this happening for ordinary matter in general relativistic universes, but scalar or dilatonic fields can violate some of these conditions, and so could possibly provide bounce behaviour. In this paper we show that such bounces cannot occur in Kantowski–Sachs models without violating the reality condition 
. This also holds true for other isotropic spatially homogeneous Bianchi models, with the exception of closed Friedmann–Robertson–Walker and Bianchi IX models; bounce behaviour violates the weak energy condition ρ ≥ 0 and ρ + p ≥ 0. We turn to the Randall–Sundrum type braneworld scenario for a possible resolution of this problem.
- PACS
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04.70.-s Physics of black holes
98.80.Jk Mathematical and relativistic aspects of cosmology
04.50.-h Higher-dimensional gravity and other theories of gravity
- MSC
- Subjects
- Dates
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Issue 23 (7 December 2006)
Received 15 April 2006, in final form 8 August 2006
Published 12 October 2006
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Bounce behaviour in Kantowski–Sachs and Bianchi cosmologies
Deon Solomons et al 2006 Class. Quantum Grav. 23 6585
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