Abstract
This paper investigates the behavior of warm intermediate inflation for flat isotropic and homogeneous universe in Einstein frame representation of \(f(R)\) gravity. In this scenario, we study the dynamics of two distinct regimes, i.e., strong and weak constant as well as generalized dissipative regimes. In both regimes, we find inflaton solution corresponding to scalar potential and then evaluate dimensionless slow-roll parameters. Under slow-roll approximation, we formulate scalar and tensor power spectra, their spectral indices and tensor-scalar ratio for Starobinsky inflationary model and study the graphical analysis of these observational parameters. It is concluded that isotropic intermediate inflationary model with constant as well as generalized dissipation coefficient for \(m=0,1\) and −1 remains compatible with Planck 2015 constraints in both dissipative regimes. The inflationary model satisfies warm inflation condition in both dissipation regimes but found to be inconsistent for \(m=3\).
Similar content being viewed by others
References
Ade, P.A.R., et al.: Astron. Astrophys. 594, A20 (2016)
Allemandi, G., Capone, M., Capozziello, S., Francaviglia, M.: Gen. Relativ. Gravit. 38, 33 (2006)
Artymowski, M., Lalak, Z.: J. Cosmol. Astropart. Phys. 9, 036 (2014)
Bamba, K., Nojiri, S., Odintsov, S.D., Sáez-Gómez, D.: Phys. Rev. D 90, 124061 (2014)
Bardeen, J.M., Steinhardt, P.J., Turner, M.S.: Phys. Rev. D 28, 679 (1983)
Barrow, J.D.: Phys. Lett. B 235, 40 (1990)
Barrow, J.D., Saich, P.: Phys. Lett. B 249, 406 (1990)
Barth, N.H., Christensen, S.M.: Phys. Rev. D 28, 1876 (1983)
Bassett, B.A., Tsujikawa, S., Wands, D.: Rev. Mod. Phys. 78, 537 (2006)
Bastero-Gil, M., Berera, A., Ramos, R.O.: J. Cosmol. Astropart. Phys. 9, 033 (2011)
Bastero-Gil, M., Berera, A., Ramos, R.O., Rosa, J.G.: J. Cosmol. Astropart. Phys. 1, 016 (2013)
Berera, A.: Phys. Rev. Lett. 75, 3218 (1995)
Berera, A.: Phys. Rev. D 55, 3346 (1997)
Berera, A.: Nucl. Phys. B 585, 666 (2000)
Berera, A., Ramos, R.O.: Phys. Rev. D 63, 103509 (2001)
Berera, A., Moss, I.G., Ramos, R.O.: Rep. Prog. Phys. 72, 026901 (2009)
Calcagni, G., Tsujikawa, S., Sami, M.: Class. Quantum Gravity 22, 3977 (2005)
Capozziello, S., Nojiri, S., Odintsov, S.D.: Phys. Lett. B 634, 93 (2006)
Chiba, T.: J. Cosmol. Astropart. Phys. 3, 8 (2005)
de Felice, A., Tusjikawa, S.: Living Rev. Relativ. 13, 3 (2010)
Faraoni, V., Nadeau, S.: Phys. Rev. D 75, 023501 (2007)
Gamow, G.: Phys. Rev. 70, 572 (1946)
Guth, A.H.: Phys. Rev. D 23, 347 (1981)
Hall, L.M.H., Moss, I.G., Berera, A.: Phys. Rev. D 69, 083525 (2004)
Hawking, S.W.: Phys. Lett. B 115, 295 (1982)
Herrera, R., Olivares, M., Videla, N.: Phys. Rev. D 88, 063535 (2013)
Herrera, R., Videla, N., Olivares, M.: Phys. Rev. D 90, 103502 (2014)
Hwang, J.C., Noh, H.: Phys. Rev. D 66, 084009 (2002)
Khlebnikov, S.Y., Tkachev, I.I.: Phys. Rev. Lett. 77, 219 (1996)
Kofman, L., Linde, A., Starobinsky, A.A.: Phys. Rev. Lett. 73, 3195 (1994)
Kolb, E.W., Turner, M.S.: The Early Universe. Westview Press, Boulder (1994)
Linde, A.: Phys. Lett. B 129, 177 (1983)
Linde, A.: Phys. Lett. B 175, 395 (1986)
Linde, A.: Particle Physics and Inflationary Cosmology. Harwood Academic, Reading (1990)
Lyth, D.H., Liddle, A.R.: The Primordial Density Perturbation: Cosmology, Inflation and the Origin of Structure. Cambridge University Press, Cambridge (2009)
Magnano, G., Sokolowski, L.M.: Phys. Rev. D 50, 5039 (1994)
Muslimov, A.: Class. Quantum Gravity 7, 231 (1990)
Nojiri, S., Odintsov, S.D.: Phys. Rep. 505, 59 (2011)
Penzias, A.A., Wilson, R.W.: Astrophys. J. 142, 419 (1965)
Perlmutter, S., et al.: Astrophys. J. 517, 565 (1999)
Santiago, D.I., Silbergleit, A.S.: Gen. Relativ. Gravit. 32, 565 (2000)
Sato, K.: Mon. Not. R. Astron. Soc. 195, 467 (1981)
Setare, M.R., Kamali, V.: Phys. Lett. B 726, 56 (2013)
Sharif, M., Ikram, A.: J. Exp. Theor. Phys. 123, 40 (2016)
Sharif, M., Nawazish, I.: Astrophys. Space Sci. 361, 19 (2016)
Sharif, M., Saleem, R.: Eur. Phys. J. C 74, 2738 (2014)
Sharif, M., Saleem, R.: Astrophys. Space Sci. 360, 46 (2015)
Sharif, M., Saleem, R.: Astrophys. Space Sci. 361, 107 (2016)
Sokolowski, L.: Class. Quantum Gravity 6, 2045 (1989)
Starobinsky, A.A.: Phys. Lett. B 91, 99 (1980)
Teyssandier, P., Tourrenc, P.: J. Math. Phys. 24, 2793 (1983)
Yokoyama, J., Linde, A.: Phys. Rev. D 60, 083509 (1999)
Zhang, Y.: J. Cosmol. Astropart. Phys. 3, 030 (2009)
Acknowledgements
This work has been supported by the Pakistan Academy of Sciences Project.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sharif, M., Nawazish, I. Warm intermediate inflation in \(f(R)\) gravity. Astrophys Space Sci 362, 30 (2017). https://doi.org/10.1007/s10509-017-3011-5
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10509-017-3011-5