Abstract
We have considered an action of the form T + f (T) + L m describing Einstein’s gravity plus a function of the torsion scalar. By considering an exact power-law solution we have obtained the Friedmann equation as a differential equation for the function f (T) in spatially flat universe and obtained the real valued solutions of this equation for some power-law solutions. We have also studied the power-law solutions when the universe enters a Phantom phase and shown that such solutions may exist for some f (T) solutions.
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Perlmutter S. et al.: Astrophys. J. 517, 565 (1999)
Bennett C.L. et al.: Astrophys. J. Suppl. 148, 1 (2003)
Tegmark M. et al.: Phys. Rev. D 69, 103501 (2004)
Allen S.W. et al.: Mon. Not. R. Astron. Soc. 353, 457 (2004)
Ratra B., Peebles P.J.E.: Phys. Rev. D 37, 3406 (1988)
Wetterich C.: Nucl. Phys. B 302, 668 (1988)
Zlatev I., Wang L.M., Steinhardt P.J.: Phys. Rev. Lett. 82, 896 (1999)
Caldwell R.: Phys. Lett. B 545, 23 (2002)
Caldwell R.R., Kamionkowski M., Weinberg N.N.: Phys. Rev. Lett. 91, 071301 (2003)
Nojiri S., Odintsov S.D.: Phys. Lett. B 562, 147 (2003)
Onemli V.K., Woodard R.P.: Phys. Rev. D 70, 107301 (2004)
Setare M.R., Sadeghi J., Amani A.R.: Phys. Lett. B 666, 288 (2008)
Setare M.R.: Phys. Lett. B 641, 130 (2006)
Zhao W., Zhang Y.: Phys. Rev. D 73, 123509 (2006)
Setare M.R., Sadeghi J., Amani A.R.: Phys. Lett. B 660, 299 (2008)
Sadeghi J., Setare M.R., Banijamali A., Milani F.: Phys. Lett. B 662, 92 (2008)
Setare M.R., Saridakis E.N.: Phys. Lett. B 668, 177 (2008)
Setare, M.R., Saridakis, E.N.: [arXiv:0807.3807 [arXiv:0807.3807 [hep-th]]
Setare M.R., Saridakis E.N.: JCAP 0809, 026 (2008)
’t Hooft, G.: [arXiv:gr-qc/9310026]
Susskind L.: J. Math. Phys. 36, 6377 (1995)
Li M.: Phys. Lett. B 603, 1 (2004)
Hu B., Ling Y.: Phys. Rev. D 73, 123510 (2006)
Li H., Guo Z.K., Zhang Y.Z.: Int. J. Mod. Phys. D 15, 869 (2006)
Setare M.R.: Phys. Lett. B 642, 1 (2006)
Setare M.R.: Phys. Lett. B 642, 421 (2006)
Setare M.R., Zhang J., Zhang X.: JCAP 0703, 007 (2007)
Setare M.R.: Phys. Lett. B 648, 329 (2007)
Setare M.R.: JCAP 0701, 023 (2007)
Setare M.R.: Eur. Phys. J. C 50, 991 (2007)
Brans C., Dicke C.H.: Phys. Rev. 124, 925 (1961)
Nojiri S., Odintsov S.D., Stefancic H.: Phys. Rev. D 74, 086009 (2006)
Nojiri S., Odintsov S.D.: J. Phys. A 40, 6725 (2007)
Cognola G., Elizalde E., Nojiri S., Odintsov S.D., Zerbini S.: Phys. Rev. D 75, 086002 (2007)
Nojiri S., Odintsov S.D.: J. Phys. Conf. Ser. 66, 012005 (2007)
Setare M.R.: Int. J. Mod. Phys. D 17, 2219 (2008)
Setare M.R.: Astrophys. Space Sci. 326, 27 (2010)
Capozziello S.: Int. J. Mod. Phys. D 11, 483 (2002)
Capozziello, S., Carloni, S., Troisi A.: arXiv:astro-ph/0303041
Carroll S.M., Duvvuri V., Trodden M., Turner S.: Phys. Rev. D 70, 043528 (2004)
Nojiri S., Odintsov S.D.: Phys. Rev. D 68, 123512 (2003)
Nojiri, S., Odintsov, S.D.: 0707.1941v2 [hep-th]
Nojiri, S., Odintsov, S.D.: 0710.1738v2 [hep-th]
Cognola, G., Elizalde, E., Nojiri, S., Odintsov, S.D., Sebastiani, L., Zerbini, S.: 0712.4017v1 [hep-th]
Nojiri S., Odintsov S.D.: Phys. Rep. 505, 59 (2011)
Nojiri S., Odintsov S.D., Sasaki M.: Phys. Rev. D 71, 123509 (2005)
Nojiri S., Odintsov S.D., Sami M.: Phys. Rev. D 74, 046004 (2006)
Carter B.M.N., Neupane I.P.: Phys. Lett. B 638, 94 (2006)
Carter B.M.N., Neupane I.P.: JCAP 0606, 004 (2006)
Moffat, J.W., Toth, V.T.: arXiv:0710.0364 [astro-ph]
Elizalde E., Myrzakulov R., Obukhov V.V., Sáez-Gómez D.: Class. Quantum Gravity 27, 095007 (2010)
Myrzakulov, R., Sáez-Gómez, D., Tureanu, A.: Gen. Relativ. Gravit. (2011, in press). arXiv:1009.0902 [gr-qc]
Ferraro R., Fiorini F.: Phys. Rev. D 75, 084031 (2007)
Ferraro R., Fiorini F.: Phys. Rev. D 78, 124019 (2008)
Bengochea G., Ferraro R.: Phys. Rev. D 79, 124019 (2009)
Linder E.V.: Phys. Rev. D 81, 127301 (2010)
Cai, Y.-F., Chen, S.-H., Dent, J.B., Dutta, S., Saridakis, E.N.: arxiv:1104.4349v2
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Setare, M.R., Darabi, F. Power-law solutions in f (T) gravity. Gen Relativ Gravit 44, 2521–2527 (2012). https://doi.org/10.1007/s10714-012-1408-6
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DOI: https://doi.org/10.1007/s10714-012-1408-6