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arXiv · 1107.2910

The Poincare Conjecture and the Cosmological Constant

M. D. Maia
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Abstract

The concept of deformation of Riemannian geometry is reviewed, with applications to gravitation and cosmology. Starting with an analysis of the cosmological constant problem, it is shown that space-times are deformable in the sense of local change of shape. These deformations leave an observable signature in the space-time, characterized by a conserved tensor, associated with a tangent acceleration, defined by the extrinsic curvature of the space-time. In the applications to cosmology, we find that the accelerated expansion of the universe is the observable effect of the deformation, dispensing with the cosmological constant and its problems.

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M. D. Maia. 2011-07-14. The Poincare Conjecture and the Cosmological Constant. https://doi.org/10.1142/s2010194511001280

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