The Poincare Conjecture and the Cosmological Constant

Details The Poincare Conjecture and the Cosmological Constant The Poincare Conjecture and the Cosmological Constant

2011-07-14

arxiv.org/abs/1107.2910v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, Latex, presented at the 8th Friedmann Seminar, Rio de Janeiro, May-June 2011

Scientific paper

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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