Abstract
A class of well behaved charged superdense star models of embedding class one is obtained by taking perfect fluid to be interior matter. In the process we come across the models for white dwarf, quark and neutron stars. Maximum mass of the star of this class is found to be 6.716998M Θ with its radius is 18.92112 Km. In the absence of charge the models reduce to Schwarzchild’s interior model with constant density.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Adler, R.J.: J. Math. Phys. 15, 729 (1974)
Anchordoqui, L., Bergila, S.P.: Phys. Rev. D 62, 067502 (2000)
Banerjee, A., Som, M.M.: Int. J. Theor. Phys. 20, 349 (1981)
Buchdahl, H.A.: Phys. Rev. 116, 1027 (1959)
Cataldo, M., Mitskievic, N.V.: Class. Quantum Gravity 9, 545 (1992)
Cohen, J.M., Cohen, M.D.: Nuovo Cimento 60, 241 (1969)
Durgapal, M.C.: J. Phys. A 15, 2637 (1982)
Durgapal, M.C., Fuloria, R.S.: Gen. Relativ. Gravit. 17, 671 (1985)
Dionysiou, D.D.: Astrophys. Space Sci. 85, 331 (1982)
Eddington, A.S.: The Mathematical Theory of Relativity. Cambridge University Press, Cambridge (1924)
Florides, P.S.: J. Phys. A, Math. Gen. 17, 1419 (1983)
Grøn, Ø.: Phys. Rev. D 31, 2129 (1985)
Guilfoyle, B.S.: Gen. Relativ. Gravit. 31, 1645 (1999)
Gupta, Y.K., Gupta, R.S.: Acta Phys. Pol. B 17, 855 (1986)
Gupta, Y.K., Jasim, M.K.: Astrophys. Space Sci. 283, 337–346 (2003)
Gupta, Y.K., Kumar, M.: Gen. Relativ. Gravit. 37(1), 575 (2005a)
Gupta, Y.K., Kumar, M.: Astrophys. Space Sci. 299(1), 43–59 (2005b)
Gupta, Y.K., Kumar, M.: Gen. Relativ. Gravit. 37(1), 233 (2005c)
Gupta, Y.K., Pratibha, Kumar Jitendra: Astrophys. Space Sci. 333(1), 143–148 (2011)
Gupta, Y.K., Maurya, S.K.: Astrophys. Space Sci. (2010a). doi:10.1007/s10509-010-0445-4
Gupta, Y.K., Maurya, S.K.: Astrophys. Space Sci. (2010b). doi:10.1007/s10509-010-0503-y
Heintzmann, H.: Z. Phys. 228, 489 (1969)
Ivanov, B.V.: Phys. Rev. D 65, 104001 (2002)
Klein, O.: Ark. Mat. Astron. Fys. A 34, N19 (1947)
Kohler, M., Chao, K.L.: Z. Naturforsch. Ser. A 20, 1537 (1965)
Kuchowicz, B.: Acta Phys. Pol. 33, 541 (1968)
Kuzeev, R.R.: Gravit. Teor. Otnosit. 16, 93 (1980) (in Russian)
Maharaj, S.D., Hensraj, S.: Int. J. Mod. Phys. D 15, 1311–1327 (2006)
Maharaj, S.D., Komathiraj, K.: Gen. Relativ. Gravit. 39, 2079–2093 (2007a)
Maharaj, S.D., Komathiraj, K.: J. Math. Phys. 48, 042501 (2007b)
Maharaj, S.D., Komathiraj, K.: arXiv:0808.1999v1 [gr-qc], 14 Aug. 2008
Maharaj, S.D., Thirukkanesh, S.: Class. Quantum Gravity 23, 2697–2709 (2006a)
Maharaj, S.D., Thirukkanesh, S.: Math. Methods Appl. Sci. 29, 1943–1952 (2006b)
Maharaj, S.D., Thirukkanesh, S.: arXiv:0904.0781v1 [gr-qc], 5 Apr. 2009
Mukherjee, S., Paul, B.C., Dadhich, N.K.: Class. Quantum Gravity 14, 3475 (1997)
Nduka, A.: Acta Phys. Pol. B 8, 75 (1977)
Nduka, A.: Gen. Relativ. Gravit. 7, 493 (1976)
Pandey, S.N., Sharma, S.P.: Gene. Relativ. Gravit. 14 (1981)
Pant, D.N., Sah, A.: J. Math. Phys. 20, 2537 (1979)
Pant, N., et al.: Astrophys. Space Sci. (2010). doi:10.1007/s10509-010-0383-1
Pavsic, M., Tapia, V.: arXiv:gr-qc/0010045 (2001)
Randall, L., Sundram, R.: Phys. Rev. Lett. 83, 3370 (1999)
Rayski, J.: Preprint Dublin Institute for Advance Studies (1976)
Robertson, H.P.: Rev. Mod. Phys. 5, 62 (1933)
Sharma, R., Mukherjee, S., Maharaj, S.D.: Gen. Relativ. Gravit. 33, 999 (2001)
Singh, T., Yadav, R.B.S.: Acta Phys. Pol. B 9, 475 (1978)
Tikekar, R.: J. Math. Phys. 25, 1481 (1984)
Tolman, R.C.: Phys. Rev. 55, 364 (1939)
Vaidya, P.C., Tikekar, R.: J. Astrophys. Astron. 3, 325 (1982)
Wyman, M.: Phys. Rev. 75, 1930 (1949)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Gupta, Y.K., Kumar, J. A class of well behaved charged superdense star models of embedding class one. Astrophys Space Sci 336, 419–426 (2011). https://doi.org/10.1007/s10509-011-0782-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-011-0782-y