Summary
This paper has discussed the behaviour of total entropy of self-gravitating polytropes in the nonsingular region and proved that the self-gravitating polytropes in the nonsingular region satisfy the equation of general relativistic hydrostatic equilibrium (TOV equation). We obtain that the magnitude order of total entropy of the polytropes with massM ⊙ is (1040÷1041) erg·K−1 by calculating the nonsingular entropy of self-gravitating polytropes with state equationp=K γπ , whereK≠−1, −3−2√2<K<−3+2√2,K>0, Γ is a constant.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Zhang Zhenjiu:Modern Theory of Relativity and Black Hole (Huazhong Normal Univ. Press, Wuhan, 1986), (in Chinese).
Z. Zhang andX. Wang:Entropy production resulting from spherical self-gravitating collapse (to be published).
X. Wang, Z. Zhang andJ. Shi:On the entropy of self-gravitating polytropes (to be published).
Z. Zhang andX. Wang:Entropy of self-gravitating systems and black holes, inProceedings of the International Conference on Cosmology and Gravitation, 1987 Goa (Cambridge University Press), in press.
W. Israel:Ann. Phys.,152, 30 (1984).
W. A. Hiscock andL. Limdblom:Phys. Rev. D,31, 725 (1985).
B. Cater: preprint (1988).
R. Sorkin, R. Wald andZ. Zhang:Gen. Relativ. Gravit.,12, 1127 (1981).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Zhang, Z., Wang, X., Zhang, H. et al. Entropy of nonsingular self-gravitating polytropes and their TOV equation. Nuov Cim B 106, 1189–1194 (1991). https://doi.org/10.1007/BF02728656
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02728656