Abstract
We study FRW cosmology for a non-linear modified F(R) Hořava–Lifshitz gravity which has a viable convenient counterpart. A unified description of early-time inflation and late-time acceleration is possible in this theory, but the cosmological dynamic details are generically different from the ones of the convenient viable F(R) model. Remarkably, for some specific choice of parameters they do coincide. The emergence of finite-time future singularities is investigated in detail. It is shown that these singularities can be cured by adding an extra, higher-derivative term, which turns out to be qualitatively different when compared with the corresponding one of the convenient F(R) theory.
Similar content being viewed by others
References
S. Capozziello, M. De Laurentis, V. Faraoni, arXiv:0909.4672 [gr-qc]
S. Nojiri, S.D. Odintsov, eConf C0602061, 06 (2006) [Int. J. Geom. Methods Mod. Phys. 4, 115 (2007)]. arXiv:hep-th/0601213
S. Nojiri, S.D. Odintsov, Problems of Modern Theoretical Physics, TSPU Publishing. Tomsk, pp. 266–285. arXiv:0807.0685 [hep-th]
P. Horava, Phys. Rev. D 79, 084008 (2009). arXiv:0901.3775 [hep-th]
M. Chaichian, S. Nojiri, S.D. Odintsov, M. Oksanen, A. Tureanu, arXiv:1001.4102 [hep-th]
S. Carloni, M. Chaichian, S. Nojiri, S.D. Odintsov, M. Oksanen, A. Tureanu, arXiv:1003.3925 [hep-th]
R.L. Arnowitt, S. Deser, C.W. Misner, arXiv:gr-qc/0405109;
C. Gao, Phys. Lett. B 684, 85 (2010). arXiv:0905.0310 [astro-ph.CO]
C.W. Misner, K.S. Thorne, J.A. Wheeler, Gravitation (Freeman, San Francisco, 1973)
S. Nojiri, S.D. Odintsov, arXiv:1004.3613 [hep-th]
J. Kluson, Phys. Rev. D 81, 064028 (2010). arXiv:0910.5852 [hep-th]
J. Kluson, arXiv:1002.4859 [hep-th]
J. Kluson, J. High Energy. Phys. 0911, 078 (2009). arXiv:0907.3566 [hep-th]
P. Horava, J. High Energy Phys. 0903, 020 (2009). arXiv:0812.4287 [hep-th]
M. Chaichian, M. Oksanen, A. Tureanu, arXiv:1006.3235 [hep-th]
E. Kiritsis, G. Kofinas, Nucl. Phys. B 821, 467 (2009). arXiv:0904.1334 [hep-th]
T. Takahashi, J. Soda, Phys. Rev. Lett. 102, 231301 (2009). arXiv:0904.0554 [hep-th]
R. Brandenberger, Phys. Rev. D 80, 043516 (2009). arXiv:0904.2835 [hep-th]
S. Mukohyama, K. Nakayama, F. Takahashi, S. Yokoyama, Phys. Lett. B 679, 6 (2009). arXiv:0905.0055 [hep-th]
T.P. Sotiriou, M. Visser, S. Weinfurtner, J. High Energy Phys. 0910, 033 (2009). arXiv:0905.2798 [hep-th]
E.N. Saridakis, Eur. Phys. J. C 67, 229 (2010). arXiv:0905.3532 [hep-th]
M. Minamitsuji, Phys. Lett. B 684, 194 (2010). arXiv:0905.3892 [astro-ph.CO]
G. Calcagni, Phys. Rev. D 81, 044006 (2010). arXiv:0905.3740 [hep-th]
A. Wang, Y. Wu, JCAP 0907, 012 (2009). arXiv:0905.4117 [hep-th]
M.I. Park, J. High Energy Phys. 0909, 123 (2009). arXiv:0905.4480 [hep-th]
S. Nojiri, S.D. Odintsov, Phys. Rev. D 81, 043001 (2010). arXiv:0905.4213 [hep-th]
M. Jamil, E.N. Saridakis, M.R. Setare, Phys. Lett. B 679, 172 (2009). arXiv:0906.2847 [hep-th]
M.I. Park, JCAP 1001, 001 (2010). arXiv:0906.4275 [hep-th]
C. Bogdanos, E.N. Saridakis, Class. Quantum Gravity 27, 075005 (2010). arXiv:0907.1636 [hep-th]
C.G. Boehmer, F.S.N. Lobo, arXiv:0909.3986 [gr-qc]
I. Bakas, F. Bourliot, D. Lust, M. Petropoulos, Class. Quantum Gravity 27, 045013 (2010). arXiv:0911.2665 [hep-th]
G. Calcagni, J. High Energy Phys. 0909, 112 (2009). arXiv:0904.0829 [hep-th]
S. Carloni, E. Elizalde, P.J. Silva, Class. Quantum Gravity 27, 045004 (2010). arXiv:0909.2219 [hep-th]
X. Gao, Y. Wang, W. Xue, R. Brandenberger, JCAP 1002, 020 (2010). arXiv:0911.3196 [hep-th]
Y.S. Myung, Y.W. Kim, W.S. Son, Y.J. Park, arXiv:0911.2525 [gr-qc]
E.J. Son, W. Kim, arXiv:1003.3055 [hep-th]
A. Wang, arXiv:1003.5152 [hep-th]
A. Ali, S. Dutta, E.N. Saridakis, A.A. Sen, arXiv:1004.2474 [astro-ph.CO]
J.O. Gong, S. Koh, M. Sasaki, Phys. Rev. D 81, 084053 (2010). arXiv:1002.1429 [hep-th]
S. Nojiri, S.D. Odintsov, D. Saez-Gomez, Phys. Lett. B 681, 74 (2009). arXiv:0908.1269 [hep-th]
S. Nojiri, S.D. Odintsov, Phys. Rev. D 74, 086005 (2006). arXiv:hep-th/0608008
S. Capozziello, S. Nojiri, S.D. Odintsov, A. Troisi, Phys. Lett. B 639, 135 (2006). arXiv:astro-ph/0604431
S. Nojiri, S.D. Odintsov, Phys. Rev. D 74, 086005 (2006). arXiv:hep-th/0608008
S. Nojiri, S.D. Odintsov, J. Phys. Conf. Ser. 66, 012005 (2007). arXiv:hep-th/0611071
P.K.S. Dunsby, E. Elizalde, R. Goswami, S. Odintsov, D.S. Gomez, arXiv:1005.2205 [gr-qc]
S. Nojiri, S.D. Odintsov, Phys. Rev. D 68, 123512 (2003). arXiv:hep-th/0307288
S. Nojiri, S.D. Odintsov, Phys. Rev. D 77, 026007 (2008). arXiv:0710.1738 [hep-th]
S. Nojiri, S.D. Odintsov, Phys. Lett. B 657, 238 (2007). arXiv:0707.1941 [hep-th]
G. Cognola, E. Elizalde, S. Nojiri, S.D. Odintsov, L. Sebastiani, S. Zerbini, Phys. Rev. D 77, 046009 (2008). arXiv:0712.4017 [hep-th]
W. Hu, I. Sawicki, Phys. Rev. D 76, 064004 (2007). arXiv:0705.1158 [astro-ph]
E. Elizalde, D. Saez-Gomez, Phys. Rev. D 80, 044030 (2009). arXiv:0903.2732 [hep-th]
J. Khoury, A. Weltman, Phys. Rev. Lett. 93, 171104 (2004). arXiv:astro-ph/0309300
J. Khoury, A. Weltman, Phys. Rev. D 69, 044026 (2004). arXiv:astro-ph/0309411
D.F. Mota, J.D. Barrow, Phys. Lett. B 581, 141 (2004). arXiv:astro-ph/0306047
S. Nojiri, S.D. Odintsov, S. Tsujikawa, Phys. Rev. D 71, 063004 (2005). arXiv:hep-th/0501025
S. Nojiri, S.D. Odintsov, arXiv:0910.1464 [hep-th]
M.C.B. Abdalla, S. Nojiri, S.D. Odintsov, Class. Quantum Gravity 22, L35 (2005). arXiv:hep-th/0409177
S. Nojiri, S.D. Odintsov, Phys. Rev. D 78, 046006 (2008). arXiv:0804.3519 [hep-th]
K. Bamba, S. Nojiri, S.D. Odintsov, JCAP 0810, 045 (2008). arXiv:0807.2575 [hep-th]
S. Capozziello, M. De Laurentis, S. Nojiri, S.D. Odintsov, Phys. Rev. D 79, 124007 (2009). arXiv:0903.2753 [hep-th]
R.R. Caldwell, Phys. Lett. B 545, 23 (2002). arXiv:astro-ph/9908168
R.R. Caldwell, M. Kamionkowski, N.N. Weinberg, Phys. Rev. Lett. 91, 071301 (2003). arXiv:astro-ph/0302506
B. McInnes, J. High Energy Phys. 0208, 029 (2002). arXiv:hep-th/0112066
S. Nojiri, S.D. Odintsov, Phys. Lett. B 562, 147 (2003). arXiv:hep-th/0303117
S. Nojiri, S.D. Odintsov, Phys. Lett. B 571, 1 (2003). arXiv:hep-th/0306212
S. Nojiri, S.D. Odintsov, Phys. Rev. D 72, 023003 (2005). arXiv:hep-th/0505215
V. Faraoni, Int. J. Mod. Phys. D 11, 471 (2002). arXiv:astro-ph/0110067
P.F. Gonzalez-Diaz, Phys. Lett. B 586, 1 (2004). arXiv:astro-ph/0312579
M. Sami, A. Toporensky, Mod. Phys. Lett. A 19, 1509 (2004). arXiv:gr-qc/0312009
H. Stefancic, Phys. Lett. B 586, 5 (2004). arXiv:astro-ph/0310904
L.P. Chimento, R. Lazkoz, Phys. Rev. Lett. 91, 211301 (2003). arXiv:gr-qc/0307111
L.P. Chimento, R. Lazkoz, Mod. Phys. Lett. A 19, 2479 (2004). arXiv:gr-qc/0405020
J.G. Hao, X.Z. Li, Phys. Lett. B 606, 7 (2005). arXiv:astro-ph/0404154
E. Babichev, V. Dokuchaev, Yu. Eroshenko, Class. Quantum Gravity 22, 143 (2005). arXiv:astro-ph/0407190
X.F. Zhang, H. Li, Y.S. Piao, X.M. Zhang, Mod. Phys. Lett. A 21, 231 (2006). arXiv:astro-ph/0501652
E. Elizalde, S. Nojiri, S.D. Odintsov, P. Wang, Phys. Rev. D 71, 103504 (2005). arXiv:hep-th/0502082
M.P. Dabrowski, T. Stachowiak, Ann. Phys. 321, 771 (2006). arXiv:hep-th/0411199
F.S.N. Lobo, Phys. Rev. D 71, 084011 (2005). arXiv:gr-qc/0502099
R.G. Cai, H.S. Zhang, A. Wang, Commun. Theor. Phys. 44, 948 (2005). arXiv:hep-th/0505186
I.Y. Arefeva, A.S. Koshelev, S.Y. Vernov, Phys. Rev. D 72, 064017 (2005). arXiv:astro-ph/0507067
H.Q. Lu, Z.G. Huang, W. Fang, arXiv:hep-th/0504038
W. Godlowski, M. Szydlowski, Phys. Lett. B 623, 10 (2005). arXiv:astro-ph/0507322
J. Sola, H. Stefancic, Phys. Lett. B 624, 147 (2005). arXiv:astro-ph/0505133
B. Guberina, R. Horvat, H. Nikolic, Phys. Rev. D 72, 125011 (2005). arXiv:astro-ph/0507666
E. Elizalde, S. Nojiri, S.D. Odintsov, Phys. Rev. D 70, 043539 (2004). arXiv:hep-th/0405034
D. Blas, O. Pujolas, S. Sibiryakov, Phys. Rev. Lett. 104, 181302 (2010). arXiv:0909.3525 [hep-th]
Author information
Authors and Affiliations
Corresponding author
Additional information
Also at TSPU, Tomsk, Russia.
Rights and permissions
About this article
Cite this article
Elizalde, E., Nojiri, S., Odintsov, S.D. et al. Unifying inflation with dark energy in modified F(R) Hořava–Lifshitz gravity. Eur. Phys. J. C 70, 351–361 (2010). https://doi.org/10.1140/epjc/s10052-010-1455-7
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjc/s10052-010-1455-7