Simple Model with Time–Varying Fine–Structure "Constant"

Marcelo Samuel Berman

Instituto Albert Einstein, Av. Candido Hartmann, 575, No. 17, 80730-440, Curitiba-PR, Brazil. (msberman@institutoalberteinstein.org).

Received 2009 March 2
Accepted 2009 May 11

RESUMEN

Como una extensión del trabajo publicado con L.A. Trevisan, estudiamos la generalización de la LNH de Dirac, de tal manera que la variación en el tiempo de la constante de la estructura fina debida a variaciones en la permitividad eléctrica y magnética queda incluida al igual que otras variaciones (las "constantes" gravitatoria y cosmológica, etc.). Consideramos el Universo presente y también un escenario inflacionario. La rotación del Universo puede considerarse en el modelo.

ABSTRACT

Extending the original version written in colaboration with L.A. Trevisan, we study the generalisation of Dirac's LNH, so that time–variation of the fine–structure constant, due to varying electrical and magnetic permittivities is included along with other variations (cosmological and gravitational "constants"), etc. We consider the present Universe, and also an inflationary scenario. Rotation of the Universe is a given possibility in this model.

Key Words: cosmology: theory.

DESCARGAR ARTÍCULO EN FORMATO PDF

REFERENCES

Albrecht, A., & Magueijo, J. 1999, Phys. Rev. D, 59, 043516         [ Links ]

Bahcall, J. N., & Schmidt, M. 1967, Phys. Rev. Lett., 19, 1294         [ Links ]

Barrow, J. D. 1998, in 3er RESCEU Symp. on Particle Cosmology, ed. K. Sato, T. Yanagida, & T. Shiromizu (Tokyo: Universal Academic Press), 221         [ Links ]

––––––––––. 1990, in Modern Cosmology in Retrospect, ed. B. Bertotti, R. Balbinot, S. Bergia & A. Messina (Cambridge: Cambridge Univ. Press), 67         [ Links ]

Barrow, J. D., & Magueijo, J. 1999, Class. Quantum Grav., 16, 1435        [ Links ]

Bekenstein, J. D. 1982, Phys. Rev. D, 25, 1527         [ Links ]

Berman, M. S. 1992a, Int. J. Theor. Phys., 31, 1447        [ Links ]

––––––––––. 1992b, Int. J. Theor. Phys., 31, 1217        [ Links ]

––––––––––. 1994, Ap & SS, 215, 135        [ Links ]

––––––––––. 1996, Int. J. Theor. Phys., 35, 1789        [ Links ]

––––––––––. 2007a, Introduction to General Relativity and the Cosmological Constant Problem (New York: Nova Science)         [ Links ]

––––––––––. 2007b, Introduction to General Relativistic and Scalar–Tensor Cosmologies (New York: Nova Science)         [ Links ]

Berman, M. S., & Trevisan, L. A. 2001a, arXiv:gr–qc/0112011        [ Links ]

––––––––––. 2001b, arXiv:gr–qc/0111102        [ Links ]

––––––––––. 2001c, arXiv:gr–qc/0111101        [ Links ]

Dirac, P. A. M. 1938, Proc. Roy. Soc. London A, 165, 199        [ Links ]

––––––––––. 1974, Proc. Roy. Soc. London A, 338, 439        [ Links ]

Eddington, A. S. 1933, Expanding Universe (Cambridge: Cambridge Univ. Press)        [ Links ]

––––––––––. 1939, Science Progress, 34, 225        [ Links ]

Garnavich, P. M., et al. 1998, ApJ, 493, L53         [ Links ]

Gomide, F. M. 1976, Lett. Nuovo Cimento, 15, 595         [ Links ]

Moffat, J. W. 1993, Int. J. Mod. Phys. D, 2, 351         [ Links ]

Perlmutter, S., et al. 1997, ApJ, 483, 565         [ Links ]

Perlmutter, S., et al. 1998, Nature, 391, 51         [ Links ]

Riess, A. G., et al. 1998, AJ, 116, 1009         [ Links ]

Schmidt, B. P., et al. 1998, ApJ, 507, 46         [ Links ]

Webb, J. K., Flambaum, V. V., Churchill, Ch. W., Drinkwater, M. J., & Barrow, J. D. 1999, Phys. Rev. Lett., 82, 884         [ Links ]

Webb, J. K., et al. 2001, Phys. Rev. Lett., 87, 091301        [ Links ]