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arXiv · 1101.3951

The Deformable Universe

M. D. Maia·A. J. S. Capistrano·J. S. Alcaniz·Edmundo M. Monte
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Abstract

The concept of smooth deformations of a Riemannian manifolds, recently evidenced by the solution of the Poincar\'e conjecture, is applied to Einstein's gravitational theory and in particular to the standard FLRW cosmology. We present a brief review of the deformation of Riemannian geometry, showing how such deformations can be derived from the Einstein-Hilbert dynamical principle. We show that such deformations of space-times of general relativity produce observable effects that can be measured by four-dimensional observers. In the case of the FLRW cosmology, one such observable effect is shown to be consistent with the accelerated expansion of the universe.

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M. D. Maia, A. J. S. Capistrano, J. S. Alcaniz, Edmundo M. Monte. 2011-01-20. The Deformable Universe. https://doi.org/10.1007/s10714-011-1192-8

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