Abstract
In this paper, we investigate the energy conditions (including null, weak, strong, dominant) in generalized teleparallel gravities including pure \(F(T)\), teleparallel gravity with non-minimally coupled scalar field and \(F(T)\) with non-minimally coupled scalar field models. In particular, we apply them to Friedmann–Robertson–Walker cosmology and obtain some corresponding results. Using two specific phenomenological forms of \(F(T)\), we show that some of the energy conditions are violated.
Similar content being viewed by others
References
Riess, A.G., et al.: Astron. J. 116, 1009 (1998)
Perlmutter, S., et al.: Astrophys. J. 517, 565 (1999)
Spergel, D.N., et al.: ApJS 148, 175 (2003)
Spergel, D.N., et al.: ApJS 170, 377S (2007)
Tegmark, M., et al.: Phys. Rev. D 69, 103501 (2004)
Eisenstein, D.J., et al.: Astrophys. J. 633, 560 (2005)
Jamil, M., Myrzakulov, Y., Razina, O., Myrzakulov, R.: Astrophys. Space Sci. 336, 315 (2011)
Weinberg, S.: Rev. Mod. Phys. 61, 1 (1989)
Sahni, V., Starobinsky, A.: Int. J. Mod. Phys. D 9, 373 (2000)
Sadjadi, H.M., Jamil, M.: Gen. Relativ. Gravit. 43, 1759 (2011)
Padmanabhan, T.: Phys. Rep. 380, 235 (2003)
Wetterich, C.: Nucl. Phys. B 302, 668 (1988)
Ratra, B., Peebles, P.J.E.: Phys. Rev. D 37, 3406 (1988)
Caldwell, R.R., Dave, R., Steinhardt, P.J.: Phys. Rev. Lett. 80, 1582 (1998)
Setare, M.R., Jamil, M.: JCAP 02, 010 (2010)
Caldwell, R.R.: Phys. Lett. B 545, 23 (2002)
Caldwell, R.R., Kamionkowski, M., Weinberg, N.N.: Phys. Rev. Lett. 91, 071301 (2003)
Jamil, M., Rashid, M.A.: Eur. Phys. J. C 60, 141 (2009)
Jamil, M., Rashid, M.A., Qadir, A.: Eur. Phys. J. C 58, 325 (2008)
Jamil, M.: Eur. Phys. J. C 62, 609 (2009)
Jamil, M.: Int. J. Theor. Phys. 49, 144 (2010)
Jamil, M., Hussain, I.: Int. J. Theor. Phys. 50, 465 (2011)
Farooq, M.U., Jamil, M., Debnath, U.: Astrophys. Space Sci. 334, 243 (2011)
Jamil, M., Momeni, D., Bamba, K., Myrzakulov, R.: Int. J. Mod. Phys. D 21, 1250065 (2012)
Jamil, M., Hussain, I., Farooq, M.U.: Astrophys. Space Sci. 335, 339 (2011)
Jamil, M.: Int. J. Theor. Phys. 49, 144 (2010)
De Paolis, F., Jamil, M., Qadir, A.: Int. J. Theo. Phys. 49, 621 (2010)
Cai, Y., Saridakis, E.N., Setare, M.R., Xia, J.: Phys. Rep. 493, 1–60 (2010)
Nojiri, S., Odintsov, S.D.: Gen. Relativ. Gravit. 38, 1285 (2006)
Capozziello, S., Nojiri, S., Odintsov, S.D.: Phys. Lett. B 632, 597 (2006)
Jamil, M., Ali, S., Momeni, D., Myrzakulov, R.: Eur. Phys. J. C 72, 1998 (2012)
Nojiri, S., Odintsov, S.D.: Phys. Rev. D 72, 023003 (2005)
Alam, U., Sahni, V., Saini, T.D., Starobinsky, A.A.: Mon. Not. R. Astron. Soc. 354, 275 (2004)
Gong, Y.G., Cai, R.G., Chen, Y., Zhu, Z.H.: J. Cosmol. Astropart. Phys. 01, 019 (2010)
Jamil, M., Saridakis, E.N.: JCAP 07, 028 (2010)
Jamil, M., Saridakis, E.N., Setare, M.R.: Phys. Lett. B 679, 172 (2009)
Jamil, M., Rahaman, F.: Eur. Phys. J. C 64, 97 (2009)
Sheykhi, A., Karami, K., Jamil, M., Kazemi, E., Haddad, M.: Int. J. Theor. Phys. 51, 1663 (2012)
Sheykhi, A., Jamil, M.: Phys. Lett. B 694, 284 (2011)
Jamil, M., Momeni, D., Rashid, M.A.: Eur. Phys. J. C 71, 1711 (2011)
Ferraro, R., Fiorini, F.: Phys. Rev. D 75, 084031 (2007)
Ferraro, R., Fiorini, F.: Phys. Rev. D 78, 124019 (2008)
Setare, M.R., Houndjo, M.J.S.: arXiv:1203.1315
Setare, M.R., Houndjo, M.J.S.: arXiv:1111.2821
Hayashi, K., Shirafuji, T.: Phys. Rev. D 19, 3524 (1979)
Hayashi, K., Shirafuji, T.: Phys. Rev. D 24, 3312 (1981)
Hehl, F., von der Heyde, P., Kerlick, G.: Rev. Mod. Phys. 48, 393416 (1976)
Meng, X., Wang, Y.: Eur. Phys. J. C 71, 1755 (2011)
Zheng, R., Huang, Q.-G.: JCAP 1103, 002 (2011)
Jamil, M., Momeni, D., Myrzakulov, R.: Eur. Phys. J. C 72, 1959 (2012)
Bamba, K., Jamil, M., Momeni, D., Myrzakulov, R.: arXiv:1202.6114
Bamba, K., Geng, C.-Q., Lee, C.-C., Luo, L.-W.: JCAP 1101, 021 (2011)
Miao, R., Li, M., Miao, Y.: JCAP 11, 033 (2011)
Li, B., Sotiriou, T.P., Barrow, J.D.: Phys. Rev. D 83, 064035 (2011)
Li, M., Miao, R.-X., Miao, Y.-G.: JHEP 1107, 108 (2011)
Iorio, L., Saridakis, E.N.: arXiv:1203.5781v2 [gr-qc]
Nojiri, S., Odintsov, S.D.: Phys. Rept. 505, 59 (2011)
Bamba, K., Capozziello, S., Nojiri, S., Odintsov, S.D.: Astrophys. Space Sci. doi:10.1007/s10509-012-1181-8
Sharif, M., Amir, M.J.: Mod. Phys. Lett. A 23, 3167 (2008)
Sharif, M., Jawad, A.: Mod. Phys. Lett. A 25, 3241 (2010)
Sharif, M., Rani, S.: Phys. Scr. 84, 055005 (2011)
Geng, C.-Q., Lee, C.-C., Saridakis, E.N., Wu, Y.-P.: Phys. Lett. B 704, 384 (2011)
Geng, C.-Q., Lee, C.-C., Saridakis, E.N.: JCAP 01, 002 (2012)
Xu, C., Saridakis, E. N., Leon, G.: arXiv:1202.3781
Jamil, M., Momeni, D., Myrzakulov, R.: Eur. Phys. J. C 72, 2075 (2012)
Szydlowski, M., Hrycyna, O.: JCAP 0901, 039 (2009)
Wang, J., et al.: Phys. Lett. B 689, 133 (2010)
Hawking, S.W., Ellis, G.F.R.: The Large Scale Structure of Space-Time. Cambridge University Press, Cambridge (1973)
Garci’a, N.M., Harko, T., Lobo, F.S.N., Mimoso, J.P.: J. Phys. Conf. Ser. 314, 012060 (2007)
Gong, Y., Wang, A.: Phys. Lett. B 652, 63 (2007)
Wang, J., Wu, Y.-B., Guo, Y.-X., Yang, W.-Q., Wang, L.: Phys. Lett. B 689, 133 (2010)
Wei, H., Guo, X.-J., Wang, L.-F.: Phys. Lett. B 707, 298 (2012)
Wu, P., Yu, H.: Eur. Phys. J. C 71, 1552 (2011)
Jamil, M., Momeni, D., Myrzakulov, R.: Eur. Phys. J. C 72, 2137 (2012)
Acknowledgments
We very much thank the referee for very enlightening comments on our paper.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Jamil, M., Momeni, D. & Myrzakulov, R. Energy conditions in generalized teleparallel gravity models. Gen Relativ Gravit 45, 263–273 (2013). https://doi.org/10.1007/s10714-012-1472-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10714-012-1472-y