caa a22 4500 445386797 CHVBK 20180317143034.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s10714-011-1192-8 doi (NATIONALLICENCE)springer-10.1007/s10714-011-1192-8 The deformable universe [Elektronische Daten] [M. Maia, A. Capistrano, J. Alcaniz, Edmundo Monte] The concept of smooth deformations of Riemannian manifolds, recently evidenced by the solution of the Poincaré 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. Springer Science+Business Media, LLC, 2011 Geometry nationallicence Cosmology nationallicence Dark energy nationallicence Geometric flows nationallicence Maia M. Universidade de Brasilia, Instituto de Fisica, 70919-970, Brasilia, DF, Brazil aut Capistrano A. Universidade Federal do Tocantins, 77500-000, Porto Nacional, TO, Brazil aut Alcaniz J. Observatório Nacional, 20921-400, Rio de Janeiro, RJ, Brazil aut Monte Edmundo Departamento de Fisica, Universidad Federal da Paraiba, 55059-970, João Pessoa, PB, Brazil aut General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/10(2011-10-01), 2685-2700 0001-7701 43:10<2685 2011 43 10714 https://doi.org/10.1007/s10714-011-1192-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-011-1192-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Maia M. Universidade de Brasilia, Instituto de Fisica, 70919-970, Brasilia, DF, Brazil aut NATIONALLICENCE 700 1- Capistrano A. Universidade Federal do Tocantins, 77500-000, Porto Nacional, TO, Brazil aut NATIONALLICENCE 700 1- Alcaniz J. Observatório Nacional, 20921-400, Rio de Janeiro, RJ, Brazil aut NATIONALLICENCE 700 1- Monte Edmundo Departamento de Fisica, Universidad Federal da Paraiba, 55059-970, João Pessoa, PB, Brazil aut NATIONALLICENCE 773 0- General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/10(2011-10-01), 2685-2700 0001-7701 43:10<2685 2011 43 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer