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Title: Gauss-Bonnet brane cosmology with radion stabilization

Abstract

We study cosmology in a five-dimensional brane-world with a stabilizing effective potential for the radion and matter localized on the two branes. We consider the corrections induced by the Gauss-Bonnet contribution to the total action performing an expansion around the two possible static solutions up to second order in the ratio between brane matter energy density and brane tensions. The Friedmann and acceleration equations on the visible brane are obtained and discussed.

Authors:
 [1];  [2];  [2];  [1];  [2]
  1. Department of Physics, University of Bologna, Via Irnerio 46, 40126 Bologna (Italy)
  2. (Italy)
Publication Date:
OSTI Identifier:
20795777
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 73; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.73.027702; (c) 2006 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; ACCELERATION; CORRECTIONS; COSMOLOGY; ENERGY DENSITY; EXPANSION; FIELD EQUATIONS; MATHEMATICAL SOLUTIONS; MEMBRANES; POTENTIALS; STABILIZATION

Citation Formats

Alberghi, G. L., Department of Astronomy, University of Bologna, INFN, Sezione di Bologna, Tronconi, A., and INFN, Sezione di Bologna. Gauss-Bonnet brane cosmology with radion stabilization. United States: N. p., 2006. Web. doi:10.1103/PHYSREVD.73.0.
Alberghi, G. L., Department of Astronomy, University of Bologna, INFN, Sezione di Bologna, Tronconi, A., & INFN, Sezione di Bologna. Gauss-Bonnet brane cosmology with radion stabilization. United States. doi:10.1103/PHYSREVD.73.0.
Alberghi, G. L., Department of Astronomy, University of Bologna, INFN, Sezione di Bologna, Tronconi, A., and INFN, Sezione di Bologna. Sun . "Gauss-Bonnet brane cosmology with radion stabilization". United States. doi:10.1103/PHYSREVD.73.0.
@article{osti_20795777,
title = {Gauss-Bonnet brane cosmology with radion stabilization},
author = {Alberghi, G. L. and Department of Astronomy, University of Bologna and INFN, Sezione di Bologna and Tronconi, A. and INFN, Sezione di Bologna},
abstractNote = {We study cosmology in a five-dimensional brane-world with a stabilizing effective potential for the radion and matter localized on the two branes. We consider the corrections induced by the Gauss-Bonnet contribution to the total action performing an expansion around the two possible static solutions up to second order in the ratio between brane matter energy density and brane tensions. The Friedmann and acceleration equations on the visible brane are obtained and discussed.},
doi = {10.1103/PHYSREVD.73.0},
journal = {Physical Review. D, Particles Fields},
number = 2,
volume = 73,
place = {United States},
year = {Sun Jan 15 00:00:00 EST 2006},
month = {Sun Jan 15 00:00:00 EST 2006}
}
  • Radion stabilization is analyzed in 5-dimensional models with branes in the presence of Gauss-Bonnet interactions. The Goldberger-Wise mechanism is considered for static and inflating backgrounds. The necessary and sufficient conditions for stability are given for the static case. The influence of the Gauss-Bonnet term on the radion mass and the interbrane distance is analyzed and illustrated by numerical examples. The interplay between the radion stabilization and the cosmological constant problem is discussed.
  • We construct a cosmological model with a non-minimally coupled scalar field on the brane, where Gauss-Bonnet and induced gravity effects are taken into account. This model has 5D character at both high and low energy limits but reduces to 4D gravity for intermediate scales. While induced gravity is a manifestation of the IR limit of the model, the Gauss-Bonnet term and non-minimal coupling of the scalar field and induced gravity are essentially related to the UV limit of the scenario. We study the cosmological implications of this scenario focusing on the late time behavior of the solutions. In this setup,more » non-minimal coupling plays the role of an additional fine-tuning parameter that controls the initial density of the predicted finite density big bang. Also, non-minimal coupling has important implications for the bouncing nature of the solutions.« less
  • We analyze the cosmology of the Randall-Sundrum model and that of compact brane models in general in the presence of a radius stabilization mechanism. We find that the expansion of our Universe is generically in agreement with the expected effective four dimensional description. The constraint (which is responsible for the appearance of nonconventional cosmologies in these models) that must be imposed on the matter densities on the two branes in the theory without a stabilized radius is a consequence of requiring a static solution even in the absence of stabilization. Such constraints disappear in the presence of a stablizing potential,more » and the ordinary Friedmann-Robertson-Walker (FRW) equations are reproduced, with the expansion driven by the sum of the physical values of the energy densities on the two branes and in the bulk. For the case of the Randall-Sundrum model we examine the kinematics of the radion field, and find that corrections to the standard FRW equations are small for temperatures below the weak scale. We find that the radion field has renormalizable and unsuppressed couplings to standard model particles after electroweak symmetry breaking. These couplings may have important implications for collider searches. We comment on the possibility that matter off the TeV brane could serve as a dark matter candidate. (c) 2000 The American Physical Society.« less
  • We study cosmology in the five-dimensional Randall-Sundrum brane world with a stabilizing effective potential for the radion and matter localized on the branes. The analysis is performed by employing a perturbative expansion in the ratio {rho}/V between the matter energy density on the branes and the brane tensions around the static Randall-Sundrum solution (which has {rho}=0 and brane tensions {+-}V). This approach ensures that the matter evolves adiabatically and allows us to find approximate solutions to second order in {rho}/V. Some particular cases are then analyzed in detail.
  • 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.