Abstract
In this article the charged analogues of recently derived Buchdahl’s type fluid spheres have been obtained by considering a particular form of electric field intensity. In this process, Einstein–Maxwell field equations yield eight different classes of solutions, joining smoothly with the exterior Reissner–Nordstrom metric at the pressure free intersurface. Out of the eight solutions only seven could be utilized to represent superdense star models with ultrahigh surface density of the order 2×1014 gm cm−3. The maximum masses of the star models were found to be 8.223931MΘ and 8.460857MΘ subject to strong and weak energy conditions, respectively, which are much higher than the maximum masses 3.82MΘ and 4.57MΘ allowed in the neutral cases. The velocity of sound seen to be less than that of light throughout the star models.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Anninos, P. and Rothman, T.: 2001, Phys. Rev. D 65, 024003.
Bonnor, W.B.: 1960, Zeit. Phys. 1 60, 59.
Bonnor, W.B.: 1980, Gen. Rel. & Grav. 12, 453.
Bonnor, W.B. and Wickramasuriya, S.B.P.: 1975, Mon. Not. R. Astr. Soc. 170, 643.
Bonnor, W.B.: 1998, Class. Quantum Grav. 15, 351.
Buchdahl, H.A.: 1959, Phys. Rev. 116, 1027.
Buchdahl, H.A.: 1979, Acta Phys. Pol. B10, 673.
Dionysiou, D.D.: 1982, Astrophys. Space Sci. 85, 331.
Felice, F.de., Yu, Y. and Fang, Z.: 1995, Mon. Not. R. Astron. Soc. 277, L17.
Felice, F.de., Siming, L. and Yanqiang, Y.: 1999, Class. Quantum Grav. 16, 2669.
Florides, P.S.: 1983, J. Phys. A: Math. Gen. 16, 1419.
Gupta, Y.K. and Jasim, M.K.: 2000, Astrophys. Space Sci. 272, 403.
Gupta, Y.K. and Jasim, M.K.: 2003, Astrophys. Space Sci. 283, 337.
Ivanov, B.V.: 2002a, Phys. Rev. D. 65, 104001.
Ivanov, B.V.: 2002b, Class. Quantum Grav. 19, 3851
Krasinki, A.: 1997, Inhomogeneous Cosmological Models, Cambridge University Press, Cambridge.
Patel, L.K. and Pandya, B.M.: 1986, Acta Phys. Hung. 60, 57.
Patel, L.K., Tikekar, R. and Sabu, M.C.: 1997, Gen. Rel. Grav. 29, 489.
Patel, L.K. and Koppar, S.S.: 1987, Aust. J. Phys. 40, 441.
Ray, S., Espýndola, A.L., Malheiro, M. Lemos, J.P.S. and Zanchin, V.T.: 2003, Phys. Rev. D 68, 084004.
Ray, S., Malheiro, M., Lemos, J.P.S. and Zanchin, V.T.: 2004, Brazilian J. Phys. 34(1A).
Sharma, R., Mukherjee, S. and Maharaj, S.D.: 2001, Gen. Rel. Grav. 33, 999.
Tikekar, R. and Singh, G.P.: 1998, Grav. Cosmol. 4, 294.
Treves, A. and Turolla, R.: 1999, Astrophys. J. 517, 396.
Vaidya, P.C. and Tikekar, R.: 1982, J. Astrophys. Astron. 3, 325.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Gupta, Y.K., Kumar, M. On Charged Analogues of Buchdahl’S Type Fluid Spheres. Astrophys Space Sci 299, 43–59 (2005). https://doi.org/10.1007/s10509-005-2794-y
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s10509-005-2794-y