Emergence of cosmic space, Gauss-Bonnet gravity, MOND theory and nonextensive considerations
Abstract
In this paper, by using Verlinde's formalism and a modified Padmanabhan's prescription, we have obtained the lowest order quantum correction to the gravitational acceleration and MOND-type theory by considering a nonzero difference between the number of bits of the holographic screen and the number of bits of the holographic screen that satisfy the equipartition theorem (the bulk). We will also carry out an analysis for the pure and an asymptotic (actual) de Sitter Universe considering the holographic principle. We had also used nonextensive concepts into the theory and we accomplished a -dimensional generalization of our results. Some physical consequences of the nonextensive ideas in Gauss-Bonnet (GB) gravity theory were analyzed also. We have obtained the -parameter as a function of the GB coefficient and some physical aspects were discussed.
Keywords
Cite
@article{arxiv.1511.02108,
title = {Emergence of cosmic space, Gauss-Bonnet gravity, MOND theory and nonextensive considerations},
author = {Everton M. C. Abreu and Jorge Ananias Neto and Albert C. R. Mendes and Daniel O. Souza},
journal= {arXiv preprint arXiv:1511.02108},
year = {2015}
}
Comments
10 pages. Two column format. 1 figure. arXiv admin note: substantial text overlap with arXiv:1410.3433