Abstract
With the presence of electric charge and pressure anisotropy some anisotropic stellar models have been developed. An algorithm recently presented by Herrera et al. (Phys. Rev. D 77, 027502 (2008)) to generate static spherically symmetric anisotropic solutions of Einstein's equations has been used to derive relativistic anisotropic charged fluid spheres. In the absence of pressure anisotropy the fluid spheres reduce to some well-known Generalized Tolman IV exact metrics. The astrophysical significance of the resulting equations of state (EOS) for a particular case (Wyman-Leibovitz-Adler) for the anisotropic charged matter distribution has been discussed. Physical analysis shows that the relativistic stellar structure obtained in this work may reasonably model an electrically charged compact star, whose energy density associated with the electric fields is on the same order of magnitude as the energy density of fluid matter itself like electrically charged bare strange quark stars.
Similar content being viewed by others
References
K. Schwarzschild, Sitzer. Preuss. Akad. Wiss. Berlin 424, 189 (1916) (republished in Gen. Relativ. Gravit. 35.
R.C. Tolman, Phys. Rev. 55, 364 (1939).
J.R. Oppenheimer, G.M. Volkoff, Phys. Rev. 55, 374 (1939).
M. Wyman, Phys. Rev. 75, 1930 (1949).
M.S.R. Delgaty, K. Lake, Comput. Phys. Commun. 115, 395 (1998).
C. Leibovitz, Phys. Rev. D 185, 1664 (1969).
H. Stephani, D. Kramer, M. MacCallum, C. Hoenselaers, E. Herlt, Exact Solutions of Einstein's Field Equations, in Cambridge Monographs on Mathematical Physics, 2nd edition (Cambridge University Press, New York, 2003).
M.P. Korkina, Sov. Phys. J. 24, 468 (1981).
M.C. Durgapal, J. Phys. A: Math. Gen. 15, 2637 (1982).
M. Ishak, L. Chamandy, N. Neary, K. Lake, Phys. Rev. D 64, 024005 (2001).
K. Lake, Phys. Rev. D 67, 104015 (2003).
J.M. Lattimer, M. Prakash, Astrophys. J. 550, 426 (2001).
J.M. Lattimer, J. Phys. G: Nucl. Part. Phys. 30, S479 (2004).
J.M. Lattimer, M. Prakash, Phys. Rev. Lett. 94, 111101 (2005).
S. Postnikov, M. Prakash, J.M. Lattimer, Phys. Rev. D 82, 024016 (2010).
R.J. Adler, J. Math. Phys. 15, 727 (1974).
R.C. Adams, J.M. Cohen, Astrophys. J. 200, 507 (1975).
B. Kuchowicz, Astrophys. Space Sci. 33, L13 (1975).
O.Y. Orlyansky, J. Math. Phys. 38, 5301 (1997).
P.G. Whitman, J. Math. Phys. 18, 868 (1976).
H. Heintzmann, Z. Physik 228, 489 (1969).
P.G. Whitman, R.W. Redding, Astrophys. J. 224, 993 (1978).
P.G. Whitman, J.F. Pizzo, Astrophys. J. 230, 893 (1979).
H. Knutsen, Astrophys. Space Sci. 140, 385 (1988).
S.K. Maurya, Y.K. Gupta, Astrophys. Space Sci. 334, 145 (2011).
R. Ruderman, A. Rev. Astr. Astrophys. 10, 427 (1972).
V. Canuto, M. Chitre, Phys. Rev. Lett. 30, 999 (1973).
V. Canuto, S.M. Chitre, Phys. Rev. D 9, 1587 (1974).
V. Canuto, Annu. Rev. Astron. Astrophys. 12, 167 (1974).
V. Canuto, Annu. Rev. Astron. Astrophys. 13, 335 (1975).
V. Canuto, Ann. New York Acad. Sci. 302, 514 (1977).
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).
S.S. Bayin, Phys. Rev. D 26, 1262 (1982).
K.D. Krori, P. Borgohaiann, R. Devi, Can. J. Phys. 62, 239 (1984).
L. Herrera, J. Ponce de León, J. Math. Phys. 26, 2302 (1985).
J. Ponce de León, J. Math. Phys. 28, 1114 (1987).
J. Ponce de León, Gen. Relativ. Gravit. 19, 797 (1987).
H. Bondi, Mon. Not. R. Astron. Soc. 259, 365 (1992).
M.K. Gokhroo, A.L. Mehra, Gen. Relativ. Gravit. 26, 75 (1994).
L.K. Patel, N.P. Mehta, Aust. J. Phys. 48, 635 (1995).
L. Herrera, N. Santos, Phys. Rep. 286, 53 (1997).
L. Herrera, A.D. Prisco, J. Ospino, E. Fuenmayor, J. Math. Phys. 42, 2129 (2001).
B.V. Ivanov, Phys. Rev. D 65, 104011 (2002).
K. Dev, M. Gleiser, Gen. Relativ. Gravit. 34, 1793 (2002).
K. Dev, M. Gleiser, Gen. Relativ. Gravit. 35, 1435 (2003).
M. Gleiser, K. Dev, Int. J. Mod. Phys. D 13, 1389 (2004).
T. Harko, M.K. Mak, J. Math. Phys. 41, 4752 (2000).
M.K. Mak, T. Harko, Chin. J. Astron. Astrophys. 2, 248 (2002).
T. Harko, M.K. Mak, Ann. Phys. (Leipzig) 11, 3 (2002).
M.K. Mak, T. Harko, Proc. R. Soc. London A 459, 393 (2003).
H. Hernández, L.A. Núñez, Can. J. Phys. 82, 29 (2004).
M. Chaisi, S.D. Maharaj, Pramana J. Phys. 66, 313 (2006).
M. Chaisi, S.D. Maharaj, Pramana J. Phys. 66, 609 (2006).
S. Karmakar, S. Mukherjee, R. Sharma, S.D. Maharaj, Pramana J. Phys. 68, 881 (2007).
R. Sharma, S.D. Maharaj, Mon. Not. R. Astron. Soc. 375, 1265 (2007).
M. Esculpi, M. Malaver, E. Alomá, Gen. Relativ. Gravit. 39, 633 (2007).
S.D. Maharaj, R. Maartens, Gen. Relativ. Gravit. 21, 899 (1989).
S. Thirukkanesh, S.D. Maharaj, Class. Quantum Grav. 25, 235001 (2008).
V. Varela, F. Rahaman, S. Ray, K. Chakraborty, M. Kalam, Phys. Rev. D 82, 044052 (2010).
T. Feroze, A.A. Siddiqui, Gen. Relativ. Gravit. 43, 1025 (2011).
S. Viaggiu, Int. J. Mod. Phys. D 18, 275 (2009).
V.V. Usov, Phys. Rev. D 70, 067301 (2004).
V.V. Usov, T. Harko, K.S. Cheng, Astrophys. J. 620, 915 (2005).
R.P. Negreiros, I.M. Mishustin, S. Schramm, F. Weber, Phys. Rev. D 82, 103010 (2010).
S. Ray, A.L. Espíndola, M. Malheiro, J.P.S. Lemos, V.T. Zanchin, Phys. Rev. D 68, 084004 (2003).
M. Malheiro, R. Picanço, S. Ray, J.P.S. Lemos, V.T. Zanchin, Int. J. Mod. Phys. D 13, 1375 (2004).
F. Weber, M. Meixner, R.P. Negreiros, M. Malheiro, Int. J. Mod. Phys. E 16, 1165 (2007).
F. Weber, R. Negreiros, P. Rosenfield, Neutron Stars and Pulsars, in Astrophysics and Space Science Library, Vol. 357 (Springer, Berlin, 2009) DOI:10.1007/978-3-540-76965-1_0.
F. Weber, O. Hamil, K. Mimura, R.P. Negreiros, Int. J. Mod. Phys. D 19, 1427 (2010).
R.P. Negreiros, F. Weber, M. Malheiro, V. Usov, Phys. Rev. D 80, 083006 (2009).
J. van Leeuwen (Editor), Structure of quark stars, in Neutron Stars and Pulsars: Challenges and Opportunities after 80 Years, Proceedings IAU Symposium, IAU, 2012, number 291 (DOI:10.1017/S1743921312023174).
R.P. Negreiros, M. Malheiro, Int. J. Mod. Phys. D 16, 303 (2007).
A. Nduka, Gen. Relativ. Gravit. 7, 493 (1976).
A. Nduka, Acta Phys. Pol. B 9, 569 (1978).
T. Singh, R.B.S. Yadav, Acta Phys. Pol. B 9, 831 (1978).
P.G. Whitman, R.C. Burch, Phys. Rev. D 24, 2049 (1982).
S.S. Koppar, L.K. Patel, T. Singh, Acta Phys. Hung. 69, 53 (1991).
M.K. Mak, P.C.W. Fung, Nuovo Cimento B 110, 897 (1995).
M.K. Mak, P.C.W. Fung, T. Harko, Nuovo Cimento B 111, 1461 (1996).
S.K. Maurya, Y.K. Gupta, Astrophys. Space Sci. 334, 301 (2011).
S.K. Maurya, Y.K. Gupta, Astrophys. Space Sci. 353, 657 (2014).
M.K. Mak, P.N. Dobson, T. Harko, Int. J. Mod. Phys. D 11, 207 (2002).
M.K. Mak, T. Harko, Int. J. Mod. Phys. D 13, 149 (2004).
M. Esculpi, E. Alomá, Eur. Phys. J. C 67, 521 (2010).
K. Komathiraj, S.D. Maharaj, Int. J. Mod. Phys. D 16, 1803 (2011).
P.M. Takisa, S.D. Maharaj, Gen. Relativ. Gravit. 45, 1951 (2013).
P.M. Takisa, S.D. Maharaj, Astrophys. Space Sci. 343, 569 (2013).
S.K. Maurya, Y.K. Gupta, Phys. Scr. 86, 025009 (2012).
S.K. Maurya, Y.K. Gupta, Astrophys. Space Sci. 344, 243 (2013).
S.D. Maharaj, P.M. Takisa, Gen. Relativ. Gravit. 44, 1419 (2012).
F. Rahaman, R. Sharma, S. Ray, R. Maulick, I. Karar, Eur. Phys. J. C 72, 2071 (2012).
M. Kalam, A.A. Usmani, F. Rahaman, S.M. Hossein, I. Karar, R. Sharma, Int. J. Theor. Phys. 52, 3319 (2013).
S. Thirukkanesh, F.C. Ragel, Pramana J. Phys. 81, 275 (2013).
R. Sharma, S. Karmakar, S. Mukherjee, Int. J. Mod. Phys. D 15, 405 (2006).
R. Deb, B.C. Paul, R. Tikekar, Pramana J. Phys. 79, 211 (2012).
R. Sharma, B.S. Ratanpal, Int. J. Mod. Phys. D 22, 1350074 (2013).
S.D. Maharaj, J.M. Sunzu, S. Ray, Eur. Phys. J. Plus 129, 3 (2014).
J.M. Sunzu, S.D. Maharaj, S. Ray, Astrophys. Space Sci. 352, 719 (2014).
J.M. Sunzu, S.D. Maharaj, S. Ray, Astrophys. Space Sci. 354, 2131 (2014).
L. Herrera, J. Ospino, A.D. Prisco, Phys. Rev. D 77, 027502 (2008).
M.H. Murad, S. Fatema, Some new Wyman-Adler type static relativistic charged anisotropic fluid spheres compatible to self-bound stellar modeling (2014) arXiv:1408.5126v2.
P. Anninos, T. Rothman, Phys. Rev. D 65, 024003 (2001).
A. Giuliani, T. Rothman, Gen. Relativ. Gravit. 40, 1427 (2008).
M.H. Murad, S. Fatema, Int. J. Theor. Phys. 52, 4342 (2013).
R.L. Bowers, W.D. Arnett, Astrophys. J. Suppl. 33, 415 (1977).
C.G. Böhmer, T. Harko, Class. Quantum Grav. 23, 6479 (2006).
H.A. Buchdahl, Phys. Rev. 116, 1027 (1959).
C.G. Böhmer, T. Harko, Gen. Relativ. Gravit. 39, 757 (2007).
H. Andréasson, Commun. Math. Phys. 288, 715 (2009).
M. Dey, I. Bombaci, J. Dey, S. Ray, B.C. Samanta, Phys. Lett. B 438, 123 (1998).
X.-D. Li, I. Bombaci, Mira Dey, Jishnu Dey, E.P.J. van den Heuvel, Phys. Rev. Lett. 83, 3776 (1999).
F. Weber, Prog. Part. Nucl. Phys. 54, 193 (2005).
T. Gangopadhyay, S. Ray, X.D. Li, J. Dey, M. Dey, Mon. Not. R. Astron. Soc. 431, 3216 (2013).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Murad, M.H., Fatema, S. Anisotropic charged stellar models in Generalized Tolman IV spacetime. Eur. Phys. J. Plus 130, 3 (2015). https://doi.org/10.1140/epjp/i2015-15003-y
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/i2015-15003-y