On the buchdahl inequality for spherically symmetric static shells

Communications in Mathematical Physics

Volumn 274, Issue 2, 2007, Pages 399-408

  Andréasson, Håkan ^a  

^a UNIVERSITY OF GOTHENBURG   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34247324697     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-007-0283-6     Document Type: Article

References (10)

1. Andréasson, H.: On static shells and the Buchdahl inequality for the spherically symmetric Einstein- Vlasov system. Commun. Math. Phys.
2. Andréasson H. and Rein G. (2006). A numerical investigation of the stability of steady states and critical phenomena for the spherically symmetric Einstein-Vlasov system. Class. Quantum Grav. 23: 3659-3677
3. Andréasson H. and Rein G. (2007). On the steady states of the spherically symmetric Einstein-Vlasov system. Class. Quantum Grav. 24: 1809-1832
4. Baumgarte T.W. and Rendall A.D. (1993). Regularity of spherically symmetric static solutions of the Einstein equations. Class. Quantum Grav. 10: 327-332
5. Bondi H. (1964). Massive spheres in general relativity. Proc. R. Soc. A 282: 303-317
6. Buchdahl H.A. (1959). General relativistic fluid spheres. Phys. Rev. 116: 1027-1034
7. Fraundiener J., Hoenselaers C. and Konrad W. (1990). A shell around a black hole. Class. Quantum Gravity 7: 585-587
8. Rein G. (1999). Static shells for the Vlasov-Poisson and Vlasov-Einstein systems. Indiana Univ. Math. J. 48: 335-346
9. Rein G. and Rendall A.D. (2000). Compact support of spherically symmetric equilibria in non-relativistic and relativistic galactic dynamics, Math. Proc. Camb. Phil. Soc. 128: 363-380
10. Weinberg S. (1972). Gravitation and cosmology. John Wiley and Sons, Inc., Newyork