Dezembro 2016 vol. 3 num. 1 - VII Encontro Científico de Física Aplicada

Artigo - Open Access.

Idioma principal

The Wheeler-DeWitt equation of f(G) gravity

ALVARENGA, F. G. ; HOUNDJO, M. J. S. ; GONÇALVES, S. V. B. ;

Artigo:

We develop the quantization of a at cosmological model in the framework of the modified f (G) theory of gravity, where G is the Gauss-Bonnet invariant. Therefore, a quantum model f (G) is constructed and the corresponding WheelerDeWitt equation in minisuperspace is obtained, the central object of the canonical quantum cosmology.

Artigo:

Palavras-chave: ,

Palavras-chave: ,

DOI: 10.5151/phypro-vii-efa-017

Referências bibliográficas
  • [1] S. Nojiri and S. D. Odintsov, eConf C0602061 (2006) 06; Int. J. Geom. Meth. Mod. Phys. 4 (2007) 115. [arXiv:hep-th/0601213].
  • [2] S. Nojiri and S. D. Odintsov, arXiv:0801.4843 [astro-ph]; arXiv:0807.0685 [hep-th]; T. P. Sotiriou and V. Faraoni, arXiv:0805.1726 [gr-qc]; F. S. N. Lobo, arXiv:0807.1640 [gr-qc]; S. Capozziello and M. Francaviglia, Gen. Rel. Grav. 40 (2008) 357.
  • [3] S. Nojiri, S. D. Odintsov and P. V. Tretyakov, Prog. Theor. Phys. Suppl. 172, 81 (2008); S. Nojiri and S. D. Odintsov, Phys. Lett. B 631, 1 (2005). [9] S. Nojiri, S. D. Odintsov and M. Sami, Phys. Rev. D 74, 046004 (2006); S. Nojiri and S. D. Odintsov, J. Phys. Conf. Ser. 66, 012005 (2007); G. Cognola, E. Elizalde, S. Nojiri, S. Odintsov and S. Zerbini, Phys. Rev. D 75, 086002 (2007).
  • [4] Halliwell J A Quantum Cosmology and Baby Universes ed S Coleman J B Hartle T Piran and S Weinberg (World Scientific, Singapore, 1991).
  • [5] P. Vargas Moniz Quantum Cosmology - The Supersymmetric Perspective - vol. 1: Fundamentals (Lecture Notes in Physics) (Springer 2010).
  • [6] S. Abbas, M. Benchohra, G. M. N’Gu´er´ekata, Topics in Fractional Differential Equations (Springer 2012).
  • [7] Z. Odibata and S. Momanib, Applied Mathematical Modelling 32, 28 (2008).
  • [8] W. Schneider andW.Wyss, J. Math. Phys. 30 (1989) 134.
  • [9] S. Momani, Z. Odibat, Appl. Math. Comput. 177 (2) (2006) 488.
  • [10] T.H. Hao, Int. J. Nonlinear Sci. Numer. Simul. 6 (2) (2005) 209.
  • [11] S. Momani, S. Abuasad, Chaos, Solitons & Fractals 27 (5) (2006) 1119.
Como citar:

ALVARENGA, F. G.; HOUNDJO, M. J. S.; GONÇALVES, S. V. B.; "The Wheeler-DeWitt equation of f(G) gravity", p. 65-68 . In: Anais do VII Encontro Científico de Física Aplicada [=Blucher Physics Proceedings, v.3 n.1]. São Paulo: Blucher, 2016.
ISSN 2358-2359, DOI 10.5151/phypro-vii-efa-017

últimos 30 dias | último ano | desde a publicação


downloads


visualizações


indexações