Abstract.
In this article, we consider the generalized polytropic equation of state with anisotropic matter distribution in isotropic coordinates. The static spherically symmetric configuration is considered for the development of mathematical models of compact objects incorporating the radiation factor. We have examined 12 different stars with the developed models. Analysis of the models shows that they are well-behaved and physically viable.
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References
S. Chandrasekhar, An introduction to the Study of Stellar Structure (University of Chicago, Chicago, 1939)
R.F. Topper, Astrophys. J. 142, 1541 (1965)
A. Kovetz, Astrophys. J. 154, 999 (1968)
H. Komatsu, Y. Eriguchi, I. Hachisu, Mon. Not. R. Astron. Soc. 237, 355 (1989)
J.H. Lane, Am. J. Sci. Arts 50, 57 (1870)
L. Herrera, A. Di Prisco, W. Barreto, J. Ospino, Gen. Relativ. Gravit. 46, 1827 (2014)
R.L. Bowers, E.P.T. Liang, Astrophys. J. 188, 657 (1974)
M. Cosenza, L. Herrera, M. Esculpi, L. Witten, J. Math. Phys. 22, 118 (1981)
L. Herrera, N.O. Santos, Phys. Rep. 286, 53 (1997)
L. Herrera, A. Di Prisco, J. Martin, J. Ospino, N.O. Santos, O. Troconis, Phys. Rev. D 69, 084026 (2004)
L. Herrera, W. Barreto, Phys. Rev. D 87, 087303 (2013)
K.P. Reddy, M. Govender, S.D. Maharaj, Gen. Relativ. Gravit. 47, 35 (2015)
M. Azam, S.A. Mardan, M.A. Rehman, Astrophys. Space Sci. 358, 6 (2015)
M. Azam, S.A. Mardan, M.A. Rehman, Astrophys. Space Sci. 359, 14 (2015)
M. Azam, S.A. Mardan, M.A. Rehman, Adv. High Energy Phys. 2015, 865086 (2015)
S.K. Maurya, Ayan Banerjee, Phongpichit Channuie, Chin. Phys. C 42, 055101 (2018)
L. Herrera, N.O. Santos, Mon. Not. R. Astron. Soc. 343, 1207 (2003)
M. Kutschera, Mon. Not. R. Astron. Soc. 345, 1 (2003)
A. Di Prisco, L. Herrera, G. Le Denmat, M.A.H. MacCallum, N.O. Santos, Phys. Rev. D 76, 064017 (2007)
L. Herrera, G. Le Denmat, N.O. Santos, Phys. Rev. D 79, 087505 (2009)
L. Herrera, J. Ospino, A. Di Prisco, E. Fuenmayor, O. Troconis, Phys. Rev. D 79, 064025 (2009)
L. Herrera, A. Di Prisco, J. Ospino, J. Carot, Phys. Rev. D 82, 024021 (2010)
L. Herrera, A. Di Prisco, J. Ospino, Gen. Relativ. Gravit. 42, 1585 (2010)
L. Herrera, Int. J. Mod. Phys. D 20, 1689 (2011)
M. Sharif, M.Z. Bhatti, Mod. Phys. Lett. A 27, 1250141 (2012)
M. Sharif, Neelum Bashir, Gen. Relativ. Gravit. 44, 1725 (2012)
M. Sharif, Z. Yousaf, Astrophys. Space Sci. 352, 321 (2014)
P.H. Chavanis, Eur. Phys. J. Plus 129, 38 (2014)
P.H. Chavanis, Eur. Phys. J. Plus 129, 222 (2014)
R.C. Freitas, S.V.B. Goncalves, Eur. Phys. J. C 74, 3217 (2014)
M. Azam, S.A. Mardan, I. Noreen, M.A. Rehman, Eur. Phys. J. C 76, 315 (2016)
M. Azam, S.A. Mardan, I. Noureen, M.A. Rehman, Eur. Phys. J. C 76, 510 (2016)
H. Bondi, Proc. R. Soc. London A 281, 39 (1964)
S.C. Pandey, M.C. Durgapal, A.K. Pande, Astrophys. Space Sci. 180, 75 (1991)
L. Herrera, A. Di Prisco, J. Ibanez, Phys. Rev. D 84, 107501 (2011)
P.M. Takisa, S.D. Maharaj, Astrophys. Space Sci. 45, 1951 (2013)
M. Azam, S.A. Mardan, JCAP 01, 040 (2017)
M. Azam, S.A. Mardan, Eur. Phys. J. C 77, 113 (2017)
M. Azam, S.A. Mardan, Eur. Phys. J. C 77, 385 (2017)
S.A. Ngubelanga, S.D. Maharaj, Astrophys. Space Sci. 362, 43 (2017)
S.A. Mardan, I. Noureen, M. Azam, M.A. Rehman, M. Hussan, Eur. Phys. J. C 78, 516 (2018)
A. Hewish, S.J. Bell, J.D.H. Pilkington, P.F. Scott, R.A. Collins, Nature 217, 709 (1968)
P.B. Demorest, T. Pennucci, S.M. Ransom, M.S.E. Roberts, J.W.T. Hessels, Nature 467, 1081 (2010)
S. Johnston, D.R. Lorimer, P.A. Harrison, M. Bailes, A.G. Lynet, J.F. Bell, V.M. Kaspi, R.N. Manchester, N. D'Amico, L. Nleastrol, Jin Shengzhen, Nature 361, 613 (1993)
F. Ozel, P. Freire, Annu. Rev. Astron. Astrophys. 54, 401 (2016)
M.L. Rawls, J.A. Orosz, J.E. McClintock, M.A.P. Torres, C.D. Bailyn, M.M. Buxton, Astrophys. J. 730, 25 (2011)
D. Deba, M. Khlopovb, F. Rahamanc, S. Rayd, B.K. Guhae, Eur. Phys. J. C 78, 465 (2018)
I.A. Fisenko, V. Lemberg, Astrophys. Space Sci. 352, 221 (2014)
D. Arnett, Astrophys. J. 218, 815 (1977)
D. Kazanas, Astrophys. J. 222, 109 (1978)
J.M. Lattimer, Nucl. Phys. A 478, 199 (1988)
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Mardan, S.A., Asif, A. & Noureen, I. New classes of generalized anisotropic polytropes pertaining radiation density. Eur. Phys. J. Plus 134, 242 (2019). https://doi.org/10.1140/epjp/i2019-12641-y
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DOI: https://doi.org/10.1140/epjp/i2019-12641-y