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Title: Gauss-Bonnet gravity, brane world models, and nonminimal coupling

Abstract

We study the case of brane world models with an additional Gauss-Bonnet term in the presence of a bulk scalar field which interacts nonminimally with gravity, via a possible interaction term of the form -(1/2){xi}R{phi}{sup 2}. The Einstein equations and the junction conditions on the brane are formulated, in the case of the bulk scalar field. Static solutions of this model are obtained by solving numerically the Einstein equations with the appropriate boundary conditions on the brane. Finally, we present graphically and comment these solutions for several values of the free parameters of the model.

Authors:
;  [1]
  1. Department of Physics, National Technical University of Athens Zografou Campus, 157 80 Athens (Greece)
Publication Date:
OSTI Identifier:
20935234
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.75.024018; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BOUNDARY CONDITIONS; BRANES; EINSTEIN FIELD EQUATIONS; GRAVITATION; M-THEORY; MATHEMATICAL SOLUTIONS; SCALAR FIELDS

Citation Formats

Farakos, K., and Pasipoularides, P. Gauss-Bonnet gravity, brane world models, and nonminimal coupling. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.024018.
Farakos, K., & Pasipoularides, P. Gauss-Bonnet gravity, brane world models, and nonminimal coupling. United States. doi:10.1103/PHYSREVD.75.024018.
Farakos, K., and Pasipoularides, P. Mon . "Gauss-Bonnet gravity, brane world models, and nonminimal coupling". United States. doi:10.1103/PHYSREVD.75.024018.
@article{osti_20935234,
title = {Gauss-Bonnet gravity, brane world models, and nonminimal coupling},
author = {Farakos, K. and Pasipoularides, P.},
abstractNote = {We study the case of brane world models with an additional Gauss-Bonnet term in the presence of a bulk scalar field which interacts nonminimally with gravity, via a possible interaction term of the form -(1/2){xi}R{phi}{sup 2}. The Einstein equations and the junction conditions on the brane are formulated, in the case of the bulk scalar field. Static solutions of this model are obtained by solving numerically the Einstein equations with the appropriate boundary conditions on the brane. Finally, we present graphically and comment these solutions for several values of the free parameters of the model.},
doi = {10.1103/PHYSREVD.75.024018},
journal = {Physical Review. D, Particles Fields},
number = 2,
volume = 75,
place = {United States},
year = {Mon Jan 15 00:00:00 EST 2007},
month = {Mon Jan 15 00:00:00 EST 2007}
}
  • The effective four-dimensional, linearised gravity of a brane world model with one extra dimension and a single brane is analysed. The model includes higher order curvature terms (such as the Gauss-Bonnet term) and a conformally coupled scalar field. Large and small distance gravitational laws are derived. In contrast to the corresponding Einstein gravity models, it is possible to obtain solutions with localised gravity which are compatible with observations. Solutions with non-standard large distance Newtonian potentials are also described.
  • Here we study the creation of a brane world using an instanton solution with Hartle-Hawking's no-boundary approach. We analyze brane models with a Gauss-Bonnet term in a bulk spacetime. The curvature of 3-brane is assumed to be closed, flat, or open. We construct instanton solutions with branes for our models, and calculate the value of the actions to discuss the initial state of a brane universe.
  • Gravity on a brane world with higher order curvature terms and a conformally coupled bulk scalar field is investigated. Solutions with nonstandard large distance gravity are described. It is not necessary to include a scalar field potential in order to obtain the solutions. The resulting Newton potential is qualitatively similar to that of the Dvali-Gabadadze-Porrati (DGP) model. For suitable parameter choices the model is ghost free. Like many other brane gravity models with modified large distance Newton potentials, the short distance gravity is scalar-tensor. The scalar couples with gravitational strength, and so the model is not compatible with observation.
  • This paper gives a new, simple and concise derivation of brane actions and brane dynamics in general relativity and in Einstein-Gauss-Bonnet gravity. We present a unified treatment, applicable to timelike surface layers and spacelike transition layers, and including consideration of the more difficult lightlike case.
  • A brane scenario is envisaged in which the m-dimensional bulk is endowed with a Gauss-Bonnet term and localization of matter on the brane is achieved by means of a confining potential. The resulting Friedmann equations on the brane are modified by various extra terms that may be interpreted as the X-matter, providing a possible phenomenological explanation for the accelerated expansion of the Universe. The age of the Universe in this scenario is studied and shown to be consistent with the present observational data.