Abstract
A new exact closed form solution of Einstein's field equations is reported describing the space-time in the interior of a fluid sphere in equilibrium. The physical 3-space,t=constant of its space-time has the geometry of a 3-pseudo spheroid. The suitability of this solution for describing the model of a relativistic superdense star is discussed and the stability of the model under radial pulsations is examined.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
H A Buchdahl,Phys. Rev. 116, 1027 (1959)
R J Adler,J. Math. Phys. 15, 727 (1974)
C Leibovitz,Phys. Rev. 185, 1664 (1969)
P C Vaidya and R Tikekar,J. Astrophys. Astron. 3, 325 (1982)
R Tikekar,J. Math. Phys. 31, 2454 (1990)
S D Maharaj and P G L Leach,J. Math. Phys. 37, 430 (1996)
S Chandrasekhar,Astrophys. J. 140, 417 (1964)
J M Bardeen, K S Thorne and D W Meltzer,Astrophys. J. 145, 505 (1966)
H Knutsen,Mon. Not. R. Astron. Soc. 232, 163 (1988)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Tikekar, R., Thomas, V.O. Relativistic fluid sphere on pseudo-spheroidal space-time. Pramana - J Phys 50, 95–103 (1998). https://doi.org/10.1007/BF02847521
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02847521