Bounds on 2m/R for static spherical objects

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 60, Issue 8, 1999, Pages 1-8

  Guven, Jemal ^a   Murchadha, Niall Ó ^b  

^a INSTITUTO DE CIENCIAS NUCLEARES   (Mexico)

^b UNIVERSITY COLLEGE CORK   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17144381688     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.60.084020     Document Type: Article

References (26)

1. J. R. Oppenheimer and G. Volkov, Phys. Rev. 55, 374 (1939).
2. H. A. Buchdahl, Phys. Rev. 116, 1027 (1959).
3. H. Bondi, Proc. R. Soc. London A282, 303 (1964); in Lectures on General Relativity, Brandeis Summer Institute in Theoretical Physics, Vol. 1 (Prentice Hall, New Jersey, 1964).
4. H. Bondi, Proc. R. Soc. London A282, 303 (1964); in Lectures on General Relativity, Brandeis Summer Institute in Theoretical Physics, Vol. 1 (Prentice Hall, New Jersey, 1964).
5. R. Wald, General Relativity (Chicago University Press, Chicago, 1984).
6. S. Weinberg, Gravitation and Cosmology (Wiley, New York, 1972).
7. A. Vilenkin and E. P. S. Shellard, Cosmic Strings and Other Topological Defects (Cambridge University Press, Cambridge, England, 1994).
8. G. Lemaitre, Ann. Soc. Sci. Bruxelles A53, 51 (1933).
9. L. Herrera and N. O. Santos Phys. Rep. 286, 53 (1997).
10. S. Hawking and G. Ellis, The Large Scale Structure of Spacetime (Cambridge University Press, Cambridge, England, 1973).
11. M. Morris and K. Thorne, Am. J. Phys. 56, 295 (1988).
12. J. Friedman, K. Schleich, and D. Witt, Phys. Rev. Lett. 71, 1486 (1993).
13. C. Misner, K. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1972).
14. Y. Choquet-Bruhat and J. York, in General Relativity and Gravitation, edited by A. Held (Plenum, New York, 1980).
15. N. Ó Murchadha, Phys. Lett. 60A, 177 (1977).
16. M. Cantor, J. Math. Phys. 20, 1741 (1979).
17. A. K. M. Masood-ul-alam, Class. Quantum Grav. 5, 409 (1988).
18. R. Beig and W. Simon, Lett. Math. Phys. 21, 245 (1991).
19. The most recent installment and the strongest current proof of the static implies spherical symmetry conjecture is L. Lindblom and A. K. M. Masood-ul-Alam, Commun. Math. Phys. 162, 123 (1994).
20. L. Lindblom, Philos. Trans. R. Soc. London A340, 353 (1992).
21. J. Guven and N. Ó Murchadha, Phys. Rev. D 52, 758 (1995). An extensive list of references is provided here.
22. J. Guven and N. Ó Murchadha, Phys. Rev. D 52, 776 (1995).
23. T. W. Baumgarte and A. D. Rendall, Class. Quantum Grav. 10, 327 (1993).
24. The issue of stability is discussed in [8].
25. L. Lindblom, Astrophys. J. 278, 364 (1984).
26. Since the manuscript was completed this question has been addressed by D. Ida and S. Hayward, "How much negative energy does a wormhole need," gr-qc/9905033.