Abstract.
This paper explores the anisotropic stellar configurations governed by polytopic equation of state in f(R, T) theory (where R denotes the Ricci scalar and T is the trace of energy-momentum tensor). For this purpose, we numerically solve the system of differential equations obtained from the field equations and hydrostatic equilibrium equation. We investigate physical characteristics of polytropic stars and examine their stability using both causality condition as well as the adiabatic index. It is concluded that stellar configurations are stable and the value of mass function lies within the Chandrasekhar limit.
Similar content being viewed by others
References
D.J. Eicher, The New Cosmos Answering Astronomy’s Big Questions (Cambridge University Press, 2015)
R. Tooper, Astrophys. J. 140, 434 (1964)
M.K. Mak, T. Harko, Int. J. Mod. Phys. D 13, 149 (2004)
F. Özel, G. Baym, T. Güver, Phys. Rev. D 82, 101301 (2010)
L. Herrera, W. Barreto, Phys. Rev. D 88, 084022 (2013)
L. Herrera, A. Di Prisco, W. Barreto, J. Ospino, Gen. Relativ. Gravit. 46, 1827 (2014)
M. Sharif, S. Sadiq, Eur. Phys. J. C 76, 568 (2016)
J. Herman, M. Cuesta, J.M. Salim, Astrophys. J. 608, 925 (2004)
H.A. Buchdahl, Phys. Rev. 116, 1027 (1959)
B.V. Ivanov, Phys. Rev. D 65, 104011 (2002)
T. Harko, F.S.N. Lobo, S. Nojiri, S.D. Odintsov, Phys. Rev. D 84, 024020 (2011)
T. Harko, F.S.N. Lobo, Galaxies 2, 410 (2014)
M. Sharif, M. Zubair, JCAP 03, 28 (2012)
H. Shabani, M. Farhoudi, Phys. Rev. D 90, 044031 (2014)
P.H.R.S. Moraes, Eur. Phys. J. C 75, 168 (2015)
M. Sharif, A. Siddiqa, Mod. Phys. Lett. A 32, 1750151 (2017)
G. Abbas, S. Sarwar, Astrophys. Space Sci. 352, 769 (2014)
M. Sharif, Z. Yousaf, Astrophys. Space Sci. 354, 471 (2014)
I. Noureen, M. Zubair, Astrophys. Space Sci. 356, 103 (2015)
M. Zubair, G. Abbas, I. Noureen, Astrophys. Space Sci. 361, 8 (2016)
Z. Yousaf, M.Z. Bhatti, Farwa Ume, Class. Quantum Grav. 34, 145002 (2017)
P.H.R.S. Moraes, D.V.A. José, M. Malheiro, JCAP 06, 005 (2016)
M. Sharif, A. Waseem, Can. J. Phys. 94, 1024 (2016)
G.A. Carvalho et al., Eur. Phys. J. C 77, 871 (2017)
M. Sharif, A. Siddiqa, Eur. Phys. J. Plus 132, 529 (2017)
D. Deb, F. Rahaman, S. Ray, B.K. Guha, arXiv:1711.10721
S.K. Maurya, S. Ray, S. Ghosh, S. Manna, T.T. Smitha arXiv:1710.02002
P.H.R.S. Moraes, Eur. Phys. J. C 75, 168 (2015)
M.F. Shamir, Eur. Phys. J. C 75, 354 (2015)
R.A.C. Correa, P.H.R.S. Moraes, Eur. Phys. J. C 76, 100 (2016)
A. Das, F. Rahaman, B.K. Guha, S. Ray, Eur. Phys. J. C 76, 654 (2016)
A. Das, S. Ghosh, B.K. Guha, S. Das, F. Rahaman, S. Ray, Phys. Rev. D 95, 124011 (2017)
H. Shabani, A.H. Ziaie, Eur. Phys. J. C 77, 31 (2017)
B.M. Gu, Y.P. Zhang, H. Yu, Y.X. Liu, Eur. Phys. J. C 77, 115 (2017)
N.J. Poplawski, arXiv:gr-qc/0608031
V. Faraoni, Phys. Rev. D 80, 124040 (2009)
M. Zubair, S. Waheed, Y. Ahmad, Eur. Phys. J. C 76, 444 (2016)
M. Zubair, H. Azmat, I. Noureen, Eur. Phys. J. C 77, 169 (2017)
J. Barrientos, G.F. Rubilar, Phys. Rev. D 90, 028501 (2014)
H. Heintzmann, W. Hillebrandt, Astron. Astrophys. 38, 51 (1975)
P.H.R.S. Moraes, W. de Paula, R.A.C. Correa, arXiv:1710.07680
E.J.M. Madarassy, V.T. Toth, Phys. Rev. D 91, 044041 (2015)
I. Sagert, M. Hempel, C. Greiner, J.S. Bielich, Eur. J. Phys. 27, 577 (2006)
J.R. Openheimer, G.M. Volkof, Phys. Rev. 55, 15 (1939)
M. Sharif, A. Ikram, Int. J. Mod. Phys. D 27, 1750182 (2018)
S.L. Shapiro, S.A. Teukolsky, Black Holes, White Dwarfs and Neutron Stars (John Wiley and Sons, 1983)
L. Herrera, Phys. Lett. A 165, 206 (1992)
H. Abreu, H. Hernández, L.A. Núñez, Class. Quantum Grav. 24, 4631 (2007)
P.H. Chavanis, T. Harko, Phys. Rev. D 86, 064011 (2012)
I. Bombaci, Astron. Astrophys. 305, 871 (1996)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sharif, M., Siddiqa, A. Equilibrium configurations of anisotropic polytropes in f(R, T) gravity. Eur. Phys. J. Plus 133, 226 (2018). https://doi.org/10.1140/epjp/i2018-12060-8
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/i2018-12060-8