Abstract
We obtain a new class of charged super-dense star models after prescribing particular forms of the metric potential g 44 and electric intensity. The metric describing the superdense stars joins smoothly with the Reissner-Nordstrom metric at the pressure free boundary. The interior of the stars possess there energy density, pressure, pressure-density ratio and velocity of sound to be monotonically decreasing towards the pressure free interface. In view of the surface density 2×1014 g/cm3, the heaviest star occupies a mass 5.6996 M ⊙ with its radius 17.0960 km. The red shift at the centre and boundary are found to be 3.5120 and 1.1268 respectively. In absence of the charge we are left behind with the regular and well behaved fifth model of Durgapal (J. Phys. A 15:2637, 1982).
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bonner, W.B.: Z. Phys. 160, 59 (1960)
Bonner, W.B., Cooperstock, F.I.: Phys. Lett. A 139, 442 (1989)
Cooperstock, F.I., Rosen, N.: Int. J. Theor. Phys. 28, 423 (1989)
Cohen, J.M., Cohen, M.D.: Nuovo Cimento 60, 241 (1969)
De, U., Raychaudhuri, A.K.: Proc. R. Soc. A 303, 97 (1968)
Delgaty, M.S.R., Lake, K.: Comput. Phys. Commun. 115, 395–415 (1998)
Dionysiou, D.D.: Astrophys. Space Sci. 85, 331 (1982)
Durgapal, M.C.: J. Phys. A 15, 2637 (1982)
Einstein, A.: Sitz. Preuss. Akad. Wiss. (Reprinted in Einstein et al., The Principle of Relativity), Dover, INC, 1952) (1919)
Efinger, H.J.: Z. Phys. 188, 31 (1965)
Florides, P.S.: Nuovo Cimento A 42, 343 (1977)
Durgapal, M.C., Fuloria, R.S.: Gen. Relativ. Gravit. 17, 671 (1985)
Gupta, Y.K., Kumar, M.: Gen. Relativ. Gravit. 37(1), 575 (2005)
Gupta, Y.K., Maurya, S.K.: Astrophys. Space Sci. (2010). doi:10.1007/s10509-010-4454
Gürses, M.: Phys. Rev. D 58, 044001 (1998a)
Gürses, M.: arXiv:gr-qc/9806038 (1998b)
Ivanov, B.V.: Static charged perfect fluid sphere in general relativity. Phys. Rev. D 65, 104001 (2002)
Lorentz, H.A.: Proc. Acad. Sci., Amsterdam, 6 (1904) (Reprinted in Einstein et al., The Principle of Relativity, Dover, INC, 1952, p. 24) (1904)
Majumdar, S.D.: Phys. Rev. 72, 390 (1947)
Naveen, B., Gupta, Y.K.: Astrophys. Space Sci. 317, 251–260 (2008)
Pant, N. et al.: Astrophys. Space Sci. (2010). doi:10.1007/s10509-010-0383-1
Papapetrou, A.: Proc. R. Ir. Acad. A 51, 191 (1947)
Raychaudhuri, A.K.: Ann. Inst. Henri Poincare A 22, 229 (1975)
Ray, S., Das, B.: Mon. Not. R. Astron. Soc. 349, 1331–1334 (2004)
Varela, V.: arXiv:gr-qc/9911062 (1999)
Wheeler, J.A.: Geometrodynamics, p. 25. Academic, New York (1962)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Gupta, Y.K., Maurya, S.K. A class of regular and well behaved relativistic super-dense star models. Astrophys Space Sci 332, 155–162 (2011). https://doi.org/10.1007/s10509-010-0503-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-010-0503-y