Abstract
The present paper is elaborated to discuss the energy condition bounds in a modified teleparallel gravity namely \(F(T,T_{G})\), involving torsion invariant \(T\) and contribution from a term \(T_{G}\), the teleparallel equivalent of the Gauss-Bonnet term. For this purpose, we consider flat FRW universe with matter contents as perfect fluid. We formulate the SEC, NEC, WEC and DEC in terms of some cosmic parameters including Hubble, deceleration, jerk and snap parameters. By taking two interesting models for \(F(T,T_{G})\) and some recent limits of these cosmic parameters, we explore the constraints on the free parameters present in both assumed models. We also discuss these constraints graphically in terms of cosmic time by taking power law cosmology into account.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Allen, S.W., Schmidt, R.W., Ebeling, H., Fabian, A.C., Speybroeck, L.V.: Mon. Not. R. Astron. Soc. 353, 457 (2004)
Arcos, H.I., Pereira, J.G.: Int. J. Mod. Phys. D 13, 2193 (2004)
Atazadeh, K., Mousavi, M.: Eur. Phys. J. C 72, 2016 (2012)
Atazadeh, K., Khaleghi, A., Sepangi, H.R., Tavakoli, Y.: Int. J. Mod. Phys. D 18, 1101 (2009)
Aviles, A., Bravetti, A., Capozziello, S., Luongo, O.: Phys. Rev. D 87, 064025 (2013)
Bengochea, G.R., Ferraro, R.: Phys. Rev. D 79, 124019 (2009)
Bennett, C.L., et al.: Astrophys. J. Suppl. Ser. 148, 1 (2003)
Bertolami, O., Sequeira, M.C.: Phys. Rev. D 79, 104010 (2009)
Bohmer, C.G., Harko, T., Lobo, F.S.N.: Phys. Rev. D 85, 044033 (2012)
Brans, C.H., Dicke, R.H.: Phys. Rev. 124, 925 (1961)
Calvao, M.O., de Oliveira, H.P., Pavon, D., Salim, J.M.: Phys. Rev. D 45, 3869 (1992)
Capozziello, S., Cardone, V.F., Farajollahi, H., Ravanpak, A.: Phys. Rev. D 84, 043527 (2011)
Capozziello, S., Lobo, F.S.N., Mimoso, J.P.: Phys. Lett. B 730, 280 (2014)
Carroll, S.: Spacetime and Geomety: An Introduction to General Relativity. Addison-Wesley, Reading (2004)
Chaplygin, S.: Sci. Mem. Moscow Univ. Math. Phys. 21, 1 (1904)
Chiba, T., Okabe, T., Yamaguchi, M.: Phys. Rev. D 62, 023511 (2000)
Cognola, G., Elizalde, E., Nojiri, S., Odintsov, S.D., Zerbini, S.: J. Cosmol. Astropart. Phys. 0502, 010 (2005)
Cognola, G., Elizalde, E., Nojiri, S., Odintsov, S.D., Zerbini, S.: Phys. Rev. D 73, 084007 (2006)
Daouda, M.H., Rodrigues, M.E., Houndjo, M.J.S.: Eur. Phys. J. C 72, 1890 (2012)
De Felice, A., Tsujikawa, S.: Phys. Rev. D 80, 063516 (2009)
De Laurentis, M., Paolella, M., Capozziello, S.: Phys. Rev. D 91, 083531 (2015)
Dent, J.B., Dutta, S., Saridakis, E.N.: J. Cosmol. Astropart. Phys. 01, 009 (2011)
Deruelle, N., Farina-Busto, L.: Phys. Rev. D 41, 3696 (1990)
Einstein, A.: Sitzungsber. Preuss. Akad. Wiss. Phys. Math. KI. 217 (1928a)
Einstein, A.: Sitzungsber. Preuss. Akad. Wiss. Phys. Math. KI. 224 (1928b)
Elizalde, E., Nojiri, S., Odintsov, S.D.: Phys. Rev. D 70, 043539 (2004)
Elizalde, E., Nojiri, S., Odintsov, S.D., Sebastiani, L., Zerbini, S.: Phys. Rev. D 83, 086006 (2011)
Faraoni, V.: Cosmology in Scalar-Tensor Gravity. Springer, Berlin (2004)
Fayaz, V., et al.: Astrophys. Space Sci. 351, 299 (2014)
Felice, A.D., Tsujikawa, S.: Living Rev. Relativ. 13, 3 (2010)
Ferraro, R., Fiorini, F.: Phys. Rev. D 75, 084031 (2007)
Flanagan, E.E.: Phys. Rev. D 74, 023002 (2006)
Garcia, N.M.: Phys. Rev. D 83, 104032 (2011)
Gorini, V., Kamenshchik, A.Y., Moschella, U., Pasquier, V.: Phys. Rev. D 69, 123512 (2004)
Grumiller, D., Irakleidou, M., Lovrekovic, I., McNees, R.: Phys. Rev. Lett. 112, 111102 (2014)
Harko, T., et al.: Phys. Rev. D 84, 024020 (2011)
Hayashi, K., Shirafuji, T.: Phys. Rev. D 19, 3524 (1979)
Hawkins, E., et al.: Mon. Not. R. Astron. Soc. 346, 78 (2003)
Izumi, K., Ong, Y.C.: J. Cosmol. Astropart. Phys. 06, 029 (2013)
Jain, B., Taylor, A.: Phys. Rev. Lett. 91, 141302 (2003)
Kofinas, G., Saridakis, E.N.: Phys. Rev. D 90, 084044 (2014a)
Kofinas, G., Saridakis, E.N.: Phys. Rev. D 90, 084045 (2014b)
Linder, E.V.: Phys. Rev. D 81, 127301 (2010)
Liu, d., Reboucas, M.J.: Phys. Rev. D 86, 083515 (2012)
Lovelock, D.: J. Math. Phys. 12, 498 (1971)
Maluf, J.W.: Ann. Phys. 525, 339 (2013)
Murphy, G.L.: Phys. Rev. D 8, 4231 (1973)
Nojiri, I.S., Odintsov, S.D., Sasaki, M.: Phys. Rev. D 71, 123509 (2005)
Padmanabhan, T.: Gen. Relativ. Gravit. 40, 529 (2008)
Paliathanasis, S., et al.: Phys. Rev. D 89, 104042 (2014)
Perlmutter, S., et al.: Nature 391, 51 (1998)
Riess, A.G., et al.: Astrophys. J. 116, 1009 (1998)
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)
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)
Sotiriou, T.P., Faraoni, V.: Rev. Mod. Phys. 82, 451 (2010)
Tegmark, M., et al.: Phys. Rev. D 69, 03501 (2004)
Wang, J., et al.: Phys. Lett. B 689, 133 (2010)
Wang, J., Liao, K.: Class. Quantum Gravity 29, 215016 (2012)
Wang, T.: Phys. Rev. D 84, 024042 (2011)
Wei, H.: Phys. Lett. B 712, 430 (2012)
Wheeler, J.T.: Nucl. Phys. B 268, 737 (1986)
Wu, Y.P., Geng, C.Q.: J. High Energy Phys. 11, 142 (2012)
Zhao, Y.Y.: Eur. Phys. J. C 72, 1924 (2012)
Zubair, M., Waheed, S.: Astrophys. Space Sci. 355, 361 (2015)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Waheed, S., Zubair, M. Energy constraints and \(F(T,T_{G})\) cosmology. Astrophys Space Sci 359, 47 (2015). https://doi.org/10.1007/s10509-015-2438-9
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10509-015-2438-9