Share This Article:

Inflation Playing by John Lagrangian

Full-Text HTML XML Download Download as PDF (Size:851KB) PP. 160-164
DOI: 10.4236/jmp.2013.48A015    2,644 Downloads   3,924 Views  


Our goal is to reproduce inflation through the coupling between the non-minimal first derivative of the scalar field and the Einstein tensor in which we introduced a potential. We analyse the inflation by examining the equation of state, the expansion parameter and the scale factor. We have shown that when the potential is proportional to the field φ and proportional to the square of the field, inflation does not appear; but when the potential is an exponential function of the scalar field, this model brings up inflation. Inflation does not occur when the time t is near minus infinity but it is noticed a few units of Planck time.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

A. Kanfon, G. Edah and E. Baloïtcha, "Inflation Playing by John Lagrangian," Journal of Modern Physics, Vol. 4 No. 8A, 2013, pp. 160-164. doi: 10.4236/jmp.2013.48A015.


[1] C. Waelens and B. Craps, “Course of Introduction to Cosmology, KUL and VUB,” 2011.
[2] J. M. Alimi, A. Fuzfa, A. Boucher, V. Rasera, Y. Courtin and J. Corasaniti, Notices of the Royal Astronomical Society, 2010, pp. 775-790.
[3] M. P. Hobson, G. Efstathiou and A. N. Lasenby, “General Relativity, an Introduction for Physicists,” Cambridge University Press, Cambridge, 2006. doi:10.1017/CBO9780511790904
[4] J. P. Bruneton, M. Rinaldi, A. Kanfon, A. Hees, S. Schogel and A. Fuzfa, Advances in Astronomy, Vol. 2012, 2012, Article ID: 430694.
[5] G. W. Horndeski, International Journal of Theoretical Physics, Vol. 10, 1974, pp. 363-384. doi:10.1007/BF01807638
[6] C. Charmousis, E. J. Copeland, A. Padilla and P. M. Saffin, “General Second Order Scalar-Tensor Theory, Self Tunning, and the Fab Four,” 2011.
[7] A. Kanfon and D. Lambert, JMP, Vol. 3, 2012, pp. 1727-1731.
[8] V. S. Sushkov, Physical Review D, Vol. 80, 2009, Article ID: 103505.
[9] E. N. Saridakis and S. V. Sushkov, Physical Review D, Vol. 81, 2010, Article ID: 083510.

comments powered by Disqus

Copyright © 2018 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.