Abstract
The present paper examines the validity of energy bounds in a modified theory of gravity involving non-minimal coupling of torsion scalar and perfect fluid matter. In this respect, we formulate the general inequalities of energy conditions by assuming the flat FRW universe. For the application of these bounds, we particularly focus on two specific models that are recently proposed in literature and also choose the power law cosmology. We find the feasible constraints on the involved free parameters and evaluate their possible ranges graphically for the consistency of these energy bounds.
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Allen, S.W., Schmidt, R.W., Ebeling, H., Fabian, A.C., Spey-broeck, L.Y.: Mon. Not. R. Astron. Soc. 353, 457 (2004)
Bamba, K., Geng, C.-Q.: J. Cosmol. Astropart. Phys. 11, 008 (2011)
Bamba, K., Capozziello, S., Nojiri, S., Odintsov, S.D.: Astrophys. Space Sci. 345, 155 (2012a)
Bamba, K., Myrzakulov, R., Nojiri, S., Odintsov, S.D.: Phys. Rev. D 85, 104036 (2012b)
Benaoum, H.B.: Adv. High Energy Phys. 2012, 357802 (2012)
Bengochea, G.R., Ferraro, R.: Phys. Rev. D 79, 124019 (2009)
Bennett, C.L., et al.: Astrophys. J. Suppl. Ser. 148, 1 (2003)
Bento, M.C., Bertolami, O., Sen, A.A.: Phys. Rev. D 66, 043507 (2002)
Bertolami, O., Páramos, J.: Phys. Rev. D 89, 044012 (2014)
Bertolami, O., Sequeira, M.C.: Phys. Rev. D 79, 104010 (2009)
Bertolami, O., Böhmer, C.G., Harko, T., Lobo, F.S.N.: Phys. Rev. D 75, 104016 (2007)
Brans, C.H.: The roots of scalar-tensor theory: an approximate history (2005). arXiv:gr-qc/0506063
Caldwell, R.R., Dave, R., Steinhardt, P.J.: Phys. Rev. Lett. 80, 1582 (1998)
Carroll, S.: Spacetime and Geometry: An Introduction to General Relativity. Addison-Wesley, Reading (2004)
Clifton, T., Ferreira, P.G., Padilla, A., Skordis, C.: Phys. Rep. 513, 1 (2012)
Cognola, G., Elizalde, E., Nojiri, S., Odintsov, S.D., Zerbini, S.: Phys. Rev. D 73, 084007 (2006)
Faraoni, V.: Cosmology in Scalar-Tensor Gravity. Springer, Berlin (2004)
Ferraro, R., Fiorini, F.: Phys. Rev. D 75, 084031 (2007)
Fujii, Y., Maeda, K.: The Scalar-Tensor Theory of Gravitation. Cambridge University Press, Cambridge (2004)
Garcia, N.M.: Phys. Rev. D 83, 104032 (2011)
Gong, Y., Wang, A.: Phys. Lett. B 652, 63 (2007)
Gong, Y., et al.: J. Cosmol. Astropart. Phys. 08, 018 (2007)
Harko, T., Lobo, F.S.N., Nojiri, S., Odintsov, S.D.: Phys. Rev. D 84, 024020 (2011)
Harko, T., Lobo, F.S.N., Otalora, G., Saridakis, E.N.: Phys. Rev. D 89, 124036 (2014)
Hawking, S.W., Ellis, G.F.R.: The Large Scale Structure of Spacetime. Cambridge University Press, Cambridge (1973)
Hayashi, K., Shirafuji, T.: Phys. Rev. D 19, 3524 (1979)
Karami, K., et al.: Phys. Rev. D 88, 084034 (2013)
Li, B., Barrow, J.D., Mota, D.F.: Phys. Rev. D 76, 044027 (2007)
Liu, d., Reboucas, M.J.: Phys. Rev. D 86, 083515 (2012)
Lobo, F.S.N.: The dark side of gravity: modified theories of gravity. arXiv:0807.1640 (2008). Invited chapter to appear in an edited collection “Dark Energy-Current Advances and Ideas”
Maluf, J.W.: Ann. Phys. 525, 339 (2013)
Moller, C.: Mat. Fys. Skr. Dan. Vidensk. Selsk. 1, 10 (1961)
Nojiri, S., Odintsov, S.D.: Phys. Rep. 505, 59 (2011)
Peebles, P.J.E., Ratra, B.: Rev. Mod. Phys. 75, 559 (2003)
Pellegrini, C., Plebanski, J.: Mat. Fys. Skr. Dan. Vidensk. Selsk. 2, 4 (1963)
Perlmutter, S., et al.: Astrophys. J. 517, 565 (1999)
Riess, A.G., et al.: Astrophys. J. 116, 1009 (1998)
Rodrigues, M.E., et al.: Phys. Rev. D 86, 104059 (2012)
Rodrigues, M.E., et al.: Int. J. Mod. Phys. D 22, 1350043 (2013)
Rodrigues, M.E., et al.: Int. J. Mod. Phys. D 23, 1450004 (2014)
Santos, J., Alcaniz, J.S.: Phys. Lett. B 642, 311 (2006)
Santos, J., Alcaniz, J.S., Reboucas, M.J.: Phys. Rev. D 74, 067301 (2006)
Santos, J., et al.: Phys. Rev. D 76, 083513 (2007)
Santos, J., Reboucas, M.J., Alcaniz, J.S.: Int. J. Mod. Phys. D 19, 1315 (2010)
Setare, M.R., Mohammadipour, N.: J. Cosmol. Astropart. Phys. 11, 030 (2012)
Setare, M.R., Mohammadipour, N.: J. Cosmol. Astropart. Phys. 01, 015 (2013)
Setare, M.R., Darabi, F.: Gen. Relativ. Gravit. 44, 2521 (2012)
Sharif, M., Waheed, S.: Adv. High Energy Phys. 2013, 253985 (2013)
Sharif, M., Zubair, M.: J. Phys. Soc. Jpn. 82, 014002 (2013a)
Sharif, M., Zubair, M.: J. High Energy Phys. 12, 079 (2013b)
Sharif, M., Zubair, M.: Astrophys. Space Sci. 349, 529 (2014a)
Sharif, M., Zubair, M.: Astrophys. Space Sci. 352, 263 (2014b)
Sharif, M., Zubair, M.: Astrophys. Space Sci. 349, 457 (2014c)
Sharif, M., Zubair, M.: Gen. Relativ. Gravit. 46, 1723 (2014d)
Spergel, D.N., et al.: Astrophys. J. Suppl. Ser. 170, 377 (2007)
Steinhardt, P.J., Wang, L., Zlatev, I.: Phys. Rev. Lett. 59, 123504 (1999)
Tegmark, M., et al.: Phys. Rev. D 69, 03501 (2004)
Visser, M.: Phys. Rev. D 56, 7578 (1997)
Wang, J., Liao, K.: Class. Quantum Gravity 29, 215016 (2012)
Wang, J., et al.: Phys. Lett. B 689, 133 (2010)
Zhao, Y.Y.: Eur. Phys. J. C 72, 1924 (2012)
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Zubair, M., Waheed, S. Energy conditions in f(T) gravity with non-minimal torsion-matter coupling. Astrophys Space Sci 355, 361–369 (2015). https://doi.org/10.1007/s10509-014-2181-7
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DOI: https://doi.org/10.1007/s10509-014-2181-7