Abstract
Spherical-symmetric massive structures with a relativistic polytropic equation of state have been studied in detail. Thevarious static parameters have been calculated under all possible variations of σ0 (=P 0/E 0∶0 pertaining to the central value) and the polytropic indexn. In particular, the values of the static parameters have been identified under the extreme relativistic conditions and for the most bound structures. The structures have been used to model neutron stars and the various neutron parameters have been calculated. Radial pulsation and rotation of these configurations have also been discussed.
Similar content being viewed by others
References
Brecher, K. and Caporasso, G.: 1976,Nature 259, 377.
Chandrasekhar, S.: 1964a,Phys. Rev. Letters 12, 114, 437.
Chandrasekhar, S.: 1964b,Astrophys. J. 140, 417.
Chiu, H. Y.: 1965, in Ivor Robinson, Alferd Schild, and E. L. Shucking (eds.),Quasi-Stellar Sources and Gravitational Collapse, University of Chicago Press, Chicago, p. 405.
Durgapal, M. C. and Pande, A. K.: 1980,Ind. J. Pure Appl. Phys. 18, 171.
Durgapal, M. C., Pande, A. K., and Fuloria, R. S.: 1984,Astrophys. Space Sci. 102, 49.
Friedman, J. L., Ipser, J. R., and Parker, L.: 1989,Phys. Rev. Letters 62, 3015.
Harrison, B. K., Thorne, K. S., Wakano, M., and Wheeler, J. A.: 1965,Gravitational Theory and Gravitational Collapse, Chicago University Press, Chicago, pp. 42, 50, and 156.
Irvine, J. M.: 1978,Neutron Stars, Clarendon Press, Oxford, p. 150.
Pandey, S. C., Durgapal, M. C., and Pande, A. K.: 1989,Astrophys. Space Sci. 159, 203.
Ruderman, M.: 1972,Ann. Rev. Astron. Astrophys. 10, 427.
Shapiro, S. L., Teukolsky, S. A., and Wasserman, I.: 1989,Nature 340, 451.
Tooper, R. F.: 1964,Astrophys. J. 140, 434.
Zeldovich, Ya. B. and Novikov, I. D.: 1978,Relativistic Astrophysics, Vol. I, University of Chicago Press, Chicago, Midway reprint, p. 286.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Pandey, S.C., Durgapal, M.C. & Pande, A.K. Relativistic polytropic spheres in general relativity. Astrophys Space Sci 180, 75–92 (1991). https://doi.org/10.1007/BF00644230
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00644230