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Title: Accelerated expansion of the Universe in Gauss-Bonnet gravity

Abstract

We show that in Gauss-Bonnet gravity with negative Gauss-Bonnet coefficient and without a cosmological constant, one can explain the acceleration of the expanding Universe. We first introduce a solution of the Gauss-Bonnet gravity with negative Gauss-Bonnet coefficient and no cosmological constant term in an empty (n+1)-dimensional bulk. This solution can generate a de Sitter spacetime with curvature n(n+1)/{l_brace}(n-2)(n-3) vertical bar {alpha} vertical bar {r_brace}. We show that an (n-1)-dimensional brane embedded in this bulk can have an expanding feature with acceleration. We also considered a four-dimensional brane world in a five-dimensional empty space with zero cosmological constant and obtain the modified Friedmann equations. The solution of these modified equations in matter-dominated era presents an expanding Universe with negative deceleration and positive jerk which is consistent with the recent cosmological data. We also find that for this solution, the 'n' th derivative of the scale factor with respect to time can be expressed only in terms of Hubble and deceleration parameters.

Authors:
 [1]
  1. Physics Department and Biruni Observatory, Shiraz University, Shiraz 71454 (Iran, Islamic Republic of)
Publication Date:
OSTI Identifier:
20705231
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 70; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.70.064009; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ACCELERATION; COSMOLOGICAL CONSTANT; COSMOLOGY; DE SITTER GROUP; FIELD EQUATIONS; GRAVITATION; MATHEMATICAL SOLUTIONS; ONE-DIMENSIONAL CALCULATIONS; SPACE-TIME; UNIVERSE

Citation Formats

Dehghani, M H, and Institute for Studies in Theoretical Physics and Mathematics. Accelerated expansion of the Universe in Gauss-Bonnet gravity. United States: N. p., 2004. Web. doi:10.1103/PhysRevD.70.064009.
Dehghani, M H, & Institute for Studies in Theoretical Physics and Mathematics. Accelerated expansion of the Universe in Gauss-Bonnet gravity. United States. https://doi.org/10.1103/PhysRevD.70.064009
Dehghani, M H, and Institute for Studies in Theoretical Physics and Mathematics. 2004. "Accelerated expansion of the Universe in Gauss-Bonnet gravity". United States. https://doi.org/10.1103/PhysRevD.70.064009.
@article{osti_20705231,
title = {Accelerated expansion of the Universe in Gauss-Bonnet gravity},
author = {Dehghani, M H and Institute for Studies in Theoretical Physics and Mathematics},
abstractNote = {We show that in Gauss-Bonnet gravity with negative Gauss-Bonnet coefficient and without a cosmological constant, one can explain the acceleration of the expanding Universe. We first introduce a solution of the Gauss-Bonnet gravity with negative Gauss-Bonnet coefficient and no cosmological constant term in an empty (n+1)-dimensional bulk. This solution can generate a de Sitter spacetime with curvature n(n+1)/{l_brace}(n-2)(n-3) vertical bar {alpha} vertical bar {r_brace}. We show that an (n-1)-dimensional brane embedded in this bulk can have an expanding feature with acceleration. We also considered a four-dimensional brane world in a five-dimensional empty space with zero cosmological constant and obtain the modified Friedmann equations. The solution of these modified equations in matter-dominated era presents an expanding Universe with negative deceleration and positive jerk which is consistent with the recent cosmological data. We also find that for this solution, the 'n' th derivative of the scale factor with respect to time can be expressed only in terms of Hubble and deceleration parameters.},
doi = {10.1103/PhysRevD.70.064009},
url = {https://www.osti.gov/biblio/20705231}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 6,
volume = 70,
place = {United States},
year = {Wed Sep 15 00:00:00 EDT 2004},
month = {Wed Sep 15 00:00:00 EDT 2004}
}