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Phys. Rev. D 73, 084007 (2006) [16 pages]

Dark energy in modified Gauss-Bonnet gravity: Late-time acceleration and the hierarchy problem

Guido Cognola,1 Emilio Elizalde,2 Shin'ichi Nojiri,3 Sergei D. Odintsov,2,4 and Sergio Zerbini1
1Dipartimento di Fisica, Università di Trento and Istituto Nazionale di Fisica Nucleare, Gruppo Collegato di Trento, Italy
2Consejo Superior de Investigaciones Científicas (ICE/CSIC) and Institut d'Estudis Espacials de Catalunya (IEEC), Campus UAB, Fac Ciencies, Torre C5-Par-2a pl, E-08193 Bellaterra (Barcelona), Spain
3Department of Applied Physics, National Defense Academy, Hashirimizu, Yokosuka 239-8686, Japan
4ICREA, Barcelona, Spain, and Institut d'Estudis Espacials de Catalunya (IEEC), Campus UAB, Fac Ciencies, Torre C5-Par-2a pl, E-08193 Bellaterra (Barcelona), Spain

Received 31 December 2005; published 6 April 2006

Dark energy cosmology is considered in a modified Gauss-Bonnet (GB) model of gravity where an arbitrary function of the GB invariant, f(G), is added to the general relativity action. We show that a theory of this kind is endowed with a quite rich cosmological structure: it may naturally lead to an effective cosmological constant, quintessence, or phantom cosmic acceleration, with a possibility for the transition from deceleration to acceleration. It is demonstrated in the paper that this theory is perfectly viable, since it is compliant with the solar system constraints. Specific properties of f(G) gravity in a de Sitter (dS) universe, such as dS and SdS solutions, their entropy, and its explicit one-loop quantization are studied. The issue of a possible solution of the hierarchy problem in modified gravities is also addressed.

©2006 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevD.73.084007
DOI: 10.1103/PhysRevD.73.084007
PACS: 04.50.+h; 95.36.+x
  • 04.50.+h
    Gravity in more than four dimensions, Kaluza–Klein theory, unified field theories; alternative theories of gravity
  • 95.36.+x
    Dark energy
  • YEAR: 2006
KEYWORDS: dark energy, cosmology, gravitation, general relativity

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