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A Solution of the Mitra Paradox

Strategies to Ascertain the Sign of the Spatial Curvature

Escola de Ciências e Tecnologia, Universidade Federal do Rio Grande do Norte, Natal 59072-970, Rio Grande do Norte, Brazil
Departamento de Física, Universidad Autónoma de Barcelona, Bellaterra, Barcelona 08193, Spain
Author to whom correspondence should be addressed.
Academic Editors: Lorenzo Iorio and Elias C. Vagenas
Universe 2016, 2(4), 27;
Received: 14 October 2016 / Revised: 14 November 2016 / Accepted: 15 November 2016 / Published: 24 November 2016
The second law of thermodynamics, in the presence of gravity, is known to hold at small scales, as in the case of black holes and self-gravitating radiation spheres. Using the Friedmann–Lemaître–Robertson–Walker metric and the history of the Hubble factor, we argue that this law also holds at cosmological scales. Based on this, we study the connection between the deceleration parameter and the spatial curvature of the metric, Ω k , and set limits on the latter, valid for any homogeneous and isotropic cosmological model. Likewise, we devise strategies to determine the sign of the spatial curvature index k. Finally, assuming the lambda cold dark matter model is correct, we find that the acceleration of the cosmic expansion is increasing today. View Full-Text
Keywords: mathematical cosmology; spatial curvatur; thermodynamics mathematical cosmology; spatial curvatur; thermodynamics
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MDPI and ACS Style

Ferreira, P.C.; Pavón, D. Strategies to Ascertain the Sign of the Spatial Curvature. Universe 2016, 2, 27.

AMA Style

Ferreira PC, Pavón D. Strategies to Ascertain the Sign of the Spatial Curvature. Universe. 2016; 2(4):27.

Chicago/Turabian Style

Ferreira, Pedro C., and Diego Pavón. 2016. "Strategies to Ascertain the Sign of the Spatial Curvature" Universe 2, no. 4: 27.

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