Table of Contents
Journal of Gravity
Volume 2016, Article ID 4504817, 7 pages
Research Article

On Gravitational Entropy of de Sitter Universe

1Institute of Physics, University of Brasília, 70910-900 Brasília, DF, Brazil
2Department of Civil Engineering, FATECS, University Center of Brasília (UniCEUB), 70790-075 Brasília, DF, Brazil
3University Center of the Federal District (UDF), Department of Civil Engineering, 70390-045 Brasília, DF, Brazil

Received 13 March 2016; Accepted 23 June 2016

Academic Editor: Sergei D. Odintsov

Copyright © 2016 S. C. Ulhoa and E. P. Spaniol. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The paper deals with the calculation of the gravitational entropy in the context of teleparallel gravity for de Sitter space-time. In such a theory it is possible to define gravitational energy and pressure; thus we use those expressions to construct the gravitational entropy. We use the temperature as a function of the cosmological constant and write the first law of thermodynamics from which we obtain the entropy. In the limit we find that the entropy is proportional to volume, for a specific temperature’s choice; we find that as well. We also identify a phase transition in de Sitter space-time by analyzing the specific heat.