(In)finiteness of spherically symmetric static perfect fluids

Classical and Quantum Gravity

Volumn 19, Issue 11, 2002, Pages 2835-2851

  Mark Heinzle, J ^a  

^a UNIVERSITY OF VIENNA   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041876395     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/19/11/307     Document Type: Article

References (21)

1. Masood-ul-Alam A K M 1987 The topology of asymptotically euclidean static perfect fluid space-times Commun. Math. Phys. 108 193-211
2. Masood-ul-Alam A K M and Lindblom L 1994 On the spherical symmetry of static stellar models Commun. Math. Phys. 162 123-45
3. Beig R 2000 Static Perfect Fluids, Lectures unpublished
4. Beig R and Schmidt B G 2000 Time-independent gravitational fields Einstein's Field Equations and Their Physical Implications (Lecture Notes in Physics) ed B G Schmidt (Berlin: Springer) pp 325-72
5. Beig R and Simon W 1991 On the spherical symmetry of static perfect fluids in general relativity Lett. Math. Phys. 21 245-50
6. Beig R and Simon W 1992 On the uniqueness of static perfect-fluid solutions in general relativity Commun. Math. Phys. 144 373-90
7. N Indiana Univ. Math. J. 30 141-57
8. Buchdahl H A 1964 A relativist fluid sphere resembling the Emden polytrope of index 5 Astrophys. J. 140
9. Chandrasekhar S 1957 An Introduction to the Study of Stellar Structure (New York: Dover)
10. Harrison B K, Thorne K, Wakano M and Wheeler J A 1965/1983 Gravitation Theory and Gravitational Collapse (Chicago, IL: University of Chicago Press)/(New York: Wiley)
11. Horedt G P 1987 Topology of the Lane-Emden-equation Astron. Astrophys. 177 117-30
12. Lindblom L 1993 On the symmetries of equilibrium star model Classical General Relativity ed S Chandrasekhar (Oxford: Oxford Science Publication/ Oxford University Press) pp 17-28
13. Spitzer L Jr 1987 Dynamical Evolution of Globular Clusters (Princeton Series in Astrophysics) (Princeton, NJ: Princeton University Press)
14. Makino T 1998 On spherically symmetric stellar models in general relativity J. Math. Kyoto Univ. 38-1 55-69
15. Nilsson U and Uggla C 2000 General relativistic stars: polytropic equation of state Ann. Phys., NY 286 292-319
16. Pohozaev S 1965 Eigenfunctions of the equation Δu + λf(u) = 0 Sov. Math. Dokl. 6 1408-11
17. Rendall A D and Schmidt B G 1991 Existence and properties of spherically symmetric static fluid bodies with a given equation of state Class. Quantum Grav. 8 985-1000
18. Schaudt U M 2000 On static stars in Newtonian gravity and Lane-Emden type equations Ann. H Poincaré 5 945-76
19. Shapiro S L and Teukolsky S A 1983 Black Holes, White Dwarfs and Neutron Stars (New York: Wiley)
20. Simon W 1993 On journeys to the moon by balloon Class. Quantum Grav. 10 177-81
21. Simon W 2001 Criteria for (in)finite extent of static perfect fluids The Conformal Structure of Spacetimes Preprint gr-qc/0204037