Abstract
Brane and warped Dvali–Gabadadze–Porrati inflationary universe models in the context of intermediate inflation are studied. In both models we consider that the energy density is a standard scalar field and we discuss the evolution of the universe during the slow-roll inflation. Also, we describe the conditions for these models. The corresponding Wilkinson Microwave Anisotropy Probe seven-year data are utilized to fix some parameters in our models. Our results are compared to those found in general relativity.
Similar content being viewed by others
Notes
A complete description of inflationary scenarios can be found in [3].
References
A. Guth, Phys. Rev. D 23, 347 (1981)
A. Albrecht, P.J. Steinhardt, Phys. Rev. Lett. 48, 1220 (1982)
A. Linde, Particle Physics and Inflationary Cosmology (Gordon & Breach, New York, 1990)
D. Larson et al., Astrophys. J. Suppl. Ser. 192, 16 (2011)
C.L. Bennett et al., Astrophys. J. Suppl. Ser. 192, 17 (2011)
N. Jarosik et al., Astrophys. J. Suppl. Ser. 192, 14 (2011)
F. Lucchin, S. Matarrese, Phys. Rev. D 32, 1316 (1985)
J.D. Barrow, Phys. Lett. B 235, 40 (1990)
J.D. Barrow, P. Saich, Phys. Lett. B 249, 406 (1990)
A. Muslimov, Class. Quantum Gravity 7, 231 (1990)
A.D. Rendall, Class. Quantum Gravity 22, 1655 (2005)
J.D. Barrow, A.R. Liddle, Phys. Rev. D 47, R5219 (1993)
A.A. Starobinsky, JETP Lett. 82, 169 (2005)
S. del Campo, R. Herrera, J. Saavedra, C. Campuzano, E. Rojas, Phys. Rev. D 80, 123531 (2009)
R. Herrera, E. San Martin, Eur. Phys. J. C 71, 1701 (2011)
R. Herrera, M. Olivares, Mod. Phys. Lett. A 27, 1250101 (2012)
R. Herrera, M. Olivares, Int. J. Mod. Phys. D 21, 1250047 (2012)
W.H. Kinney, E.W. Kolb, A. Melchiorri, A. Riotto, Phys. Rev. D 74, 023502 (2006)
R. Herrera, E. San Martin, Int. J. Mod. Phys. D 22, 1350008 (2013)
J.D. Barrow, A.R. Liddle, C. Pahud, Phys. Rev. D 74, 127305 (2006)
R. Herrera, M. Olivares, N. Videla, Eur. Phys. J. C 73, 2295 (2013)
T. Kolvisto, D. Mota, Phys. Lett. B 644, 104 (2007)
T. Kolvisto, D. Mota, Phys. Rev. D 75, 023518 (2007)
I. Antoniadis, J. Rizos, K. Tamvakis, Nucl. Phys. B 415, 497 (1994)
D.G. Boulware, S. Deser, Phys. Rev. Lett. 55, 2656 (1985)
D.G. Boulware, S. Deser, Phys. Lett. B 175, 409 (1986)
S. Mignemi, N.R. Steward, Phys. Rev. D 47, 5259 (1993)
P. Kanti, N.E. Mavromatos, J. Rizos, K. Tamvakis, E. Winstanley, Phys. Rev. D 54, 5049 (1996)
Ch.M. Chen, D.V. Gal’tsov, D.G. Orlov, Phys. Rev. D 75, 084030 (2007)
S. Nojiri, S.D. Odintsov, M. Sasaki, Phys. Rev. D 71, 123509 (2004)
G. Gognola, E. Eizalde, S. Nojiri, S.D. Odintsov, E. Winstanley, Phys. Rev. D 73, 084007 (2006)
A.K. Sanyal, Phys. Lett. B 645, 1 (2007)
I. Antoniadis, J. Rizos, K. Tamvakis, Nucl. Phys. B 415, 497 (1994)
S. Nojiri, S.D. Odintsov, M. Sasaki, Phys. Rev. D 71, 123509 (2004)
G. Gognola, E. Eizalde, S. Nojiri, S.D. Odintsov, E. Winstanley, Phys. Rev. D 73, 084007 (2006)
A. Sen, J. High Energy Phys. 0204, 048 (2002)
K. Akama, Lect. Notes Phys. 176, 267 (1982)
V.A. Rubakov, M.E. Shaposhnikov, Phys. Lett. B 159, 22 (1985)
N. Arkani Hamed, S. Dimopoulos, G. Dvali, Phys. Lett. B 429, 263 (1998)
M. Gogberashvili, Europhys. Lett. 49, 396 (2000)
L. Randall, R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999)
L. Randall, R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999)
T. Shiromizu, K. Maeda, M. Sasaki, Phys. Rev. D 62, 024012 (2000)
P. Binetruy, C. Deffayet, D. Langlois, Nucl. Phys. B 565, 269 (2000)
P. Binetruy, C. Deffayet, U. Ellwanger, D. Langlois, Phys. Lett. B 477, 285 (2000)
L. Randall, R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999)
R. Maartens, D. Wands, B.A. Bassett, I.P.C. Heard, Phys. Rev. D 62, 041301 (2000)
J.M. Cline, C. Grojean, G. Servant, Phys. Rev. Lett. 83, 4245 (1999)
C. Csaki, M. Graesser, C.F. Kolda, J. Terning, Phys. Lett. B 462, 34 (1999)
D. Ida, J. High Energy Phys. 0009, 014 (2000)
R.N. Mohapatra, A. Perez-Lorenzana, C.A. de S. Pires, Phys. Rev. D 62, 105030 (2000)
R.N. Mohapatra, A. Perez-Lorenzana, C.A. de S. Pires, Int. J. Mod. Phys. A 16, 1431 (2001)
Y. Gong, arXiv:gr-qc/0005075
R. Herrera, Phys. Lett. B 664, 149 (2008)
Y. Ling, J.P. Wu, J. Cosmol. Astropart. Phys. 1008, 017 (2010)
R. Maartens, arXiv:gr-qc/0101059
D. Dvali, G. Gabadadze, M. Porrati, Phys. Lett. B 485, 208 (2000)
A. Lue, Phys. Rep. 423, 1 (2006)
M. Bouhmadi Lopez, R. Maartens, D. Wands, Phys. Rev. D 70, 123519 (2004)
E. Papantonopoulos, V. Zamarias, J. Cosmol. Astropart. Phys. 0410, 001 (2004)
H. Zhang, R. Cai, J. Cosmol. Astropart. Phys. 0408, 017 (2004)
H. Zhang, Z. Zhu, Phys. Lett. B 641, 405 (2006)
S.S. Seahra, W. Hu, Phys. Rev. D 82, 124015 (2010)
K.C. Wong, K.S. Cheng, T. Harko, Eur. Phys. J. C 68, 241 (2010)
K. Nozari, N. Rashidi, Phys. Rev. D 86, 043505 (2012)
M. Bouhmadi-Lopez, P. Chen, Y.-W. Liu, P. Chen, Y.-W. Liu, Phys. Rev. D 86, 083531 (2012)
K. Zhang, P. Wu, H. Yu, Phys. Rev. D 85, 043521 (2012)
A. Kamenshchik, U. Moschella, V. Pasquier, Phys. Lett. B 511, 265 (2001)
N. Bilic, G.B. Tupper, R.D. Viollier, Phys. Lett. B 535, 17 (2002)
J.M. Cline, C. Grojean, G. Servant, Phys. Rev. Lett. 83, 4245 (1999)
P. Brax, C. van de Bruck, Class. Quantum Gravity 20, R201 (2003)
T. Clifton, P.G. Ferreira, A. Padilla, C. Skordis, Phys. Rep. 513, 1 (2012)
R. Herrera, N. Videla, Eur. Phys. J. C 67, 499 (2010)
M. Abramowitz, I.A. Stegun (eds.), Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th edn. (Dover, New York, 1972)
G. Arfken, The Incomplete Gamma Function and Related Functions, 3rd edn. Mathematical Methods for Physicists (Academic Press, Orlando, 1985)
D. Langlois, R. Maartens, D. Wands, Phys. Lett. B 489, 259 (2000)
K.-i. Maeda, S. Mizuno, T. Torii, Phys. Rev. D 68, 024033 (2003)
P. Appell, J. Kampé de Fériet, Fonctions Hypergeéomeétriques et Hypersphéeriques: Polynomes D’Hermite (Gauthier-Villars, Paris, 1926)
A. Erdélyi, Hypergeometric functions of two variables. Acta Math. 83, 131–164 (1950)
H. Exton, in Multiple Hypergeometric Functions and Applications (Wiley, New York, 1976)
J.M. Bardeen, P.J. Steinhardt, M.S. Turner, Phys. Rev. D 28, 679 (1983)
J. Martin, D.J. Schwarz, Phys. Rev. D 57, 3302 (1998)
K.A. Malik, D. Wands, Phys. Rep. 475, 1 (2009)
B.A. Bassett, S. Tsujikawa, D. Wands, Rev. Mod. Phys. 78, 537 (2006)
D. Wands, K.A. Malik, D.H. Lyth, A.R. Liddle, Phys. Rev. D 62, 043527 (2000)
H. Zhang, R. Cai, J. Cosmol. Astropart. Phys. 0408, 017 (2004)
J.E. Lidsey, N.J. Nunes, Phys. Rev. D 67, 103510 (2003)
A.R. Liddle, J.E. Lidsey, Phys. Rev. D 64, 023509 (2001)
E.J. Copeland, O. Seto, Phys. Rev. D 72, 023506 (2005)
C. Campuzano, S. del Campo, R. Herrera, J. Cosmol. Astropart. Phys. 0606, 017 (2006)
C. Campuzano, S. del Campo, R. Herrera, Phys. Lett. B 633, 149 (2006)
C. Campuzano, S. del Campo, R. Herrera, Phys. Rev. D 72, 083515 (2005). [Erratum-ibid. D 72, 109902 (2005)]
S. del Campo, R. Herrera, Phys. Rev. D 76, 103503 (2007)
Acknowledgements
R.H. was supported by COMISION NACIONAL DE CIENCIAS Y TECNOLOGIA through FONDECYT grant N0 1130628 and by DI-PUCV grant 123.724. M.O. was supported by Proyecto D.I. PostDoctorado 2012 PUCV. N.V. was supported by Proyecto Beca-Doctoral CONICYT N0 21100261.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Herrera, R., Olivares, M. & Videla, N. Intermediate inflation on the brane and warped DGP models. Eur. Phys. J. C 73, 2475 (2013). https://doi.org/10.1140/epjc/s10052-013-2475-x
Received:
Published:
DOI: https://doi.org/10.1140/epjc/s10052-013-2475-x