Abstract
We investigate in this paper the structures of neutron and quark stars in \(f(T)\) theory of gravity where \(T\) denotes the torsion scalar. Attention is attached to the TOV type equations of this theory and numerical integrations of these equations are performed with suitable EoS. We search for the deviation of the mass-radius diagrams for power-law and exponential type correction from the \(TT\) gravity. Our results show that for some values of the input parameters appearing in the considered models, \(f(T)\) theory promotes more the structures of the relativistic stars, in consistency with the observational data.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Astashenok, A.V., Odintsov, S.D.: arXiv:1512.07279 [gr-qc] (2015)
Astashenok, A.V., Capozziello, S., Odintsov, S.D.: J. Cosmol. Astropart. Phys. 12(2013), 040 (2013). arXiv:1309.1978 [gr-qc]
Astashenok, A.V., Capozziello, S., Odintsov, S.D.: J. Cosmol. Astropart. Phys. 01, 001 (2014a). 2015. arXiv:1408.3856 [gr-qc]
Astashenok, A.V., Capozziello, S., Odintsov, S.D.: Phys. Rev. D 89, 103509 (2014b). arXiv:1401.4546 [gr-qc]
Astashenok, A.V., Capozziello, S., Odintsov, S.D.: Phys. Lett. B 742, 160–166 (2014c). 2015. arXiv:1412.5453 [gr-qc]
Astashenok, A.V., Capozziello, S., Odintsov, S.D.: Astrophys. Space Sci. 355, 2 (2015). arXiv:1405.6663 [gr-qc]
Babichev, E., Langlois, D.: Phys. Rev. D 81, 124051 (2010). arXiv:0911.1297 [gr-qc]
Baibosunov, M.B., Gurovich, V.T., Imanaliev, U.M.: Sov. Phys. JETP 71, 636 (1990). 1990
Bamba, K., Nojiri, S., Odintsov, S.D.: Phys. Lett. B 698, 451–456 (2011)
Brax, P., van de Bruck, A., Davis, A.-C., Shaw, D.J.: Phys. Rev. D 78, 104021 (2008). arXiv:0806.3415 [astro-ph]
Capozziello, S.: Int. J. Mod. Phys. D 11, 483 (2002)
Capozziello, S., De Laurentis, M.: Phys. Rep. 509, 167 (2011). arXiv:1108.6266 [gr-qc]
Capozziello, S., Faraoni, V.: Beyond Einstein Gravity. Springer, New York (2010)
Capozziello, S., Carloni, S., Troisi, A.: Recent Res. Dev. Astron. Astrophys. 1, 625 (2003)
Carroll, S.M., Duvvuri, V., Trodden, M., Turner, M.S.: Phys. Rev. D 70, 043528 (2004). 2004
Cisterna, A., Delsate, T., Rinaldi, M.: Phys. Rev. D 92, 044050 (2015). arXiv:1504.05189 [gr-qc]
Cooney, A., DeDeo, S., Psaltis, D.: Phys. Rev. D 82, 064033 (2010). arXiv:0910.5480 [astro-ph.HE]
Daouda, M.H., Rodrigues, M.E., Houndjo, M.J.S.: Eur. Phys. J. C 71, 1817 (2011). arXiv:1108.2920 [astro-ph.CO]
Daouda, M.H., Rodrigues, M.E., Houndjo, M.J.S.: Eur. Phys. J. C 72, 1890 (2012). arXiv:1109.0528 [physics.gen-ph]
De Felice, A., Tsujikawa, S.: Living Rev. Relativ. 13, 3 (2010). arXiv:1002.4928 [gr-qc]
de la Cruz-Dombriz, A., Saez-Gomez, D.: Entropy 14, 1717 (2012). arXiv:1207.2663 [gr-qc]
Deliduman, C., Eksi, K., Keles, V.: J. Cosmol. Astropart. Phys. 1205, 036 (2012). arXiv:1112.4154 [gr-qc]
Eddington, A.S.: Mathematical Theory of Relativity. Cambridge University Press, Cambridge (1923)
Farinelli, R., De Laurentis, M., Capozziello, S., Odintsov, S.D.: Mon. Not. R. Astron. Soc. 440, 3 (2013). arXiv:1311.2744 [astro-ph.SR]
Guo, J.-Q., Frolov, A.V.: arXiv:1305.7290 [astro-ph.CO] (2013)
Haensel, P., Potekhin, A.Y.: Astron. Astrophys. 428, 191 (2004). 2004. arXiv:astro-ph/0408324 [astro-ph]
Hamzeh, A., Weller, J.M.: arXiv:1307.7977v2 [gr-qc] (2013)
Kamiab, F., Afshordi, N.: Phys. Rev. D 84, 063011 (2011). arXiv:1104.5704 [astro-ph.CO]
Khoury, J., Weltman, A.: Phys. Rev. Lett. 93, 171104 (2004a). arXiv:astro-ph/0309300 [astro-ph]
Khoury, J., Weltman, A.: Phys. Rev. D 69, 044026 (2004b). arXiv:astro-ph/0309411 [astro-ph]
Nojiri, S., Odintsov, S.D.: Phys. Rev. D 68, 123512 (2003a)
Nojiri, S., Odintsov, S.D.: Phys. Lett. B 576, 5 (2003b)
Nojiri, S., Odintsov, S.D.: Gen. Relativ. Gravit. 36, 1765 (2004). arXiv:hep-th/0308176 [hep-th]
Nojiri, S., Odintsov, S.D.: eConf C 0602061, 06 (2006)
Nojiri, S., Odintsov, S.D.: Int. J. Geom. Methods Mod. Phys. 4, 115 (2007). hep-th/0601213
Nojiri, S., Odintsov, S.D.: Phys. Rep. 505, 59 (2011). arXiv:1011.0544 [gr-qc]
Nojiri, S., Odintsov, S.D.: arXiv:1306.4426 [gr-qc] (2013)
Olmo, G.J.: Int. J. Mod. Phys. D 20, 413 (2011)
Orellana, M., Garcia, F., Teppa, P.F.A., Romero, G.E.: Gen. Relativ. Gravit. 45, 771–783 (2013). arXiv:1301.5189 [astro-ph.CO]
Perlmutter, S., et al. (Supernova Cosmology Project): Astrophys. J. 517, 565 (1999). arXiv:astro-ph/9812133 [astro-ph]
Psaltis, D.: Living Rev. Relativ. 11, 9 (2008). arXiv:0806.1531 [astro-ph]
Riess, A.G., et al. (Supernova Search Team): Astron. J. 116, 1009 (1998). arXiv:astro-ph/9805201 [astro-ph]
Santos, E.: Astrophys. Space Sci. 341, 411 (2012). arXiv:1104.2140 [gr-qc]
Schmidt, C., et al.: Astron. Astrophys. 463, 405 (2007)
Shore, G.M.: Ann. Phys. 128, 376 (1980)
Sotiriou, T.P., Faraoni, V.: Rev. Mod. Phys. 82, 451 (2010). arXiv:0805.1726 [gr-qc]
Spergel, D.N., et al. WMAP Collaboration: Astrophys. J. Suppl. Ser. 148, 175 (2003). arXiv:astro-ph/0302209
Starobinsky, A.: Phys. Lett. B 91, 99 (1980)
Vilenkin, A.: Phys. Rev. D 32, 2511 (1985)
Weyl, H.: Ann. Phys. 364, 101 (1919)
Acknowledgements
A.V. Kpadonou and M.J.S. Houndjo thank Ecole Normale Supérieure de Natitingou for partial financial support. M.E. Rodrigues expresses his sincere gratitude do UFPA and CNPq for partial financial support during the elaboration of this work. The authors thank very much Professor S.D. Odintsov for useful comments and discussions.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kpadonou, A.V., Houndjo, M.J.S. & Rodrigues, M.E. Tolman-Oppenheimer-Volkoff equations and their implications for the structures of relativistic stars in \(f(T)\) gravity. Astrophys Space Sci 361, 244 (2016). https://doi.org/10.1007/s10509-016-2805-1
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10509-016-2805-1