On spherically symmetric stellar models in general relativity

Kyoto Journal of Mathematics

Volumn 38, Issue 1, 1998, Pages 55-69

  Makino, Tetu ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040675244     PISSN: 0023608X     EISSN: None     Source Type: Journal    
DOI: 10.1215/kjm/1250518159     Document Type: Article

References (14)

1. H. R. Beyer, The spectrum of radial adiabatic stellar oscillations, J. Math. Phys., 36 (1995), 4815-4825.
2. S. Chandrasekhar, An Introduction to the Study of Stellar Structure, Univ. Chicago Press. 1939.
3. E. A. Coddington and N.Levinson, Theory of Ordinary Differential Equations, McGraw-Hill, 1955.
4. N. Dunford and J. T. Schwartz, Linear Operators, Part II, Wiley, 1963.
5. K. O. Friedrichs, Criteria for disdrete spectra, Comm. Pure Appl. Math., 3 (1950), 439-449.
6. D D. Joseph and T. S. Lundgren, Quasilinear Dirichlet problems driven by positive sources, Arch. Rational Mech. Anal., 49 (1972/73), 241-269.
7. Lin Song-Sun, Stability of gaseous stars in spherically symmetric motions, preprint.
8. T. Makino, On the existence of positive solutions at infinity for ordinary differential equations of Emden type, Funkcialaj Ekvacioj, 27 (1984), 319-329.
9. C. W. Misner, K. S. Thorne and J. A. Wheeler, Gravitation, Freeman, 1970.
10. F. Occhionero, Normal radial vibrations in dead-cold, fully degenerate stars and general-relativistic dynamical instability, Atti. Accad. Naz. Lincei, Memorie, 9 (1968), 105-131.
11. J. P. Oppenheimer G. M. Volkoff, On massive neutron cores, Phys. Rev., 55 (1939), 374-381.
12. M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. II, Acadenic, 1975.
13. A. D. Rendall and B. G. Schmidt, Existence and properties of spherically symmetric static fluid bodies with a given equation of state, Class. Quantum Grav., 8 (1991), 985-1000.
14. R. C. Tolman, Relativity, Thermodymanics and Cosmology, Oxford, 1934.