Research ArticlesNo Access
Cosmological models through spatial Ricci-flow
Abstract
We consider the synchronization of the Einstein’s flow with the Ricci-flow of the standard spatial slices of the Robertson–Walker space–time and show that associated perfect fluid solution has a quadratic equation of state and is either spherical and collapsing, or hyperbolic and expanding.
AMSC: 53C21, 53C44, 83C15, 85A40
References
- 1. , The Ricci Flow: An Introduction,
Mathematical Surveys and Monographs , Vol. 110 (American Mathematical Society, Providence, Rohde Island, 2007). Google Scholar - 2. , Einstein flow and cosmology, Int. J. Modern Phys. A 30 (2015) 1530047 (1–18). Link, ISI, Google Scholar
- 3. , No uniform density star in general relativity, Astrophys. Space Sci. 333 (2011) 351–356. Crossref, ISI, Google Scholar
- 4. , Semi-Riemannian Geometry with Application to Relativity (Academic Press, New York, London, 1983). Google Scholar
- 5. , Exact Solutions of Einstein’s Field Equations, 2nd edn. (Cambridge University Press, New York, London, 2009). Crossref, Google Scholar
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