Self-gravitating nonlinear scalar fields

Journal of Mathematical Physics

Volumn 38, Issue 7, 1997, Pages 3650-3668

  Malec, Edward ^a  

^a JAGIELLONIAN UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031516645     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532059     Document Type: Article

References (25)

1. Y. Choquet-Bruhat, Gravitation: An Introduction to Current Research, edited by L. Witten (Wiley, New York, 1962), p. 130.
2. D. Christodoulou and S. Klainermann, The Global Nonlinear Stability of the Minkowski Space (Princeton University Press, Princeton, 1993).
3. D. Christodoulou, Commun. Math. Phys. 105, 337 (1986); 106, 587 (1987); 109, 613 (1987); Ann. Math. 140, 607 (1994).
4. D. Christodoulou, Commun. Math. Phys. 105, 337 (1986); 106, 587 (1987); 109, 613 (1987); Ann. Math. 140, 607 (1994).
5. D. Christodoulou, Commun. Math. Phys. 105, 337 (1986); 106, 587 (1987); 109, 613 (1987); Ann. Math. 140, 607 (1994).
6. D. Christodoulou, Commun. Math. Phys. 105, 337 (1986); 106, 587 (1987); 109, 613 (1987); Ann. Math. 140, 607 (1994).
7. G. Rein, A. D. Rendall and J. Schaeffer, Commun. Math. Phys. 168, 467 (1995).
8. R. Penrose, Riv. Nuovo Cimento 1, 252 (1969); Seminar on Differential Geometry (Princeton University Press, Princeton, 1982), pp. 631-668.
9. R. Penrose, Riv. Nuovo Cimento 1, 252 (1969); Seminar on Differential Geometry (Princeton University Press, Princeton, 1982), pp. 631-668.
10. V. Moncrief and D. Eardley, Gen. Rel. Grav. 13, 887 (1981).
11. E. Malec, in preparation.
12. R. Wald, General Relativity (Chicago University Press, Chicago, 1984).
13. S. K. Godunov, Uravneniya Matematiceskoj Fiziki (Nauka, Moscow, 1979) (in Russian).
14. I. G. Petrovsky, Lectures on Partial Differential Equations (PWN, Warsaw, 1955) (that is in Polish; there are also numerous Russian and English editions).
15. E. Malec, Class. Quantum Grav. 13, 1849 (1996).
16. E. Malec and N. Ó Murchadha, Phys. Rev. D 49, 6931 (1994).
17. E. Malec and N. Ó Murchadha, Phys. Rev. D 50, R6033 (1994).
18. D. Christodoulou, Commun. Math. Phys. 93, 171 (1984); R. P. A. C. Newman, Class. Quantum Grav. 3, 527 (1986); B. Waugh and K. Lake, Phys. Rev. D 38, 1315 (1988); A. Ori and T. Piran, Phys. Rev. D 42, 1068 (1990); I. H. Dvivedi and P. S. Joshi, Class. Quantum Grav. 9, L69 (1992); P. S. Joshi and I. H. Dvivedi, Commun. Math. Phys. 146, 333 (1992); K. S. Virbhadra, S. Jhingan and P. S. Joshi, "Nature of singularity in Einstein-massless scalar theory," gr-qc preprint, 9512030, 1995.
19. D. Christodoulou, Commun. Math. Phys. 93, 171 (1984); R. P. A. C. Newman, Class. Quantum Grav. 3, 527 (1986); B. Waugh and K. Lake, Phys. Rev. D 38, 1315 (1988); A. Ori and T. Piran, Phys. Rev. D 42, 1068 (1990); I. H. Dvivedi and P. S. Joshi, Class. Quantum Grav. 9, L69 (1992); P. S. Joshi and I. H. Dvivedi, Commun. Math. Phys. 146, 333 (1992); K. S. Virbhadra, S. Jhingan and P. S. Joshi, "Nature of singularity in Einstein-massless scalar theory," gr-qc preprint, 9512030, 1995.
20. D. Christodoulou, Commun. Math. Phys. 93, 171 (1984); R. P. A. C. Newman, Class. Quantum Grav. 3, 527 (1986); B. Waugh and K. Lake, Phys. Rev. D 38, 1315 (1988); A. Ori and T. Piran, Phys. Rev. D 42, 1068 (1990); I. H. Dvivedi and P. S. Joshi, Class. Quantum Grav. 9, L69 (1992); P. S. Joshi and I. H. Dvivedi, Commun. Math. Phys. 146, 333 (1992); K. S. Virbhadra, S. Jhingan and P. S. Joshi, "Nature of singularity in Einstein-massless scalar theory," gr-qc preprint, 9512030, 1995.
21. D. Christodoulou, Commun. Math. Phys. 93, 171 (1984); R. P. A. C. Newman, Class. Quantum Grav. 3, 527 (1986); B. Waugh and K. Lake, Phys. Rev. D 38, 1315 (1988); A. Ori and T. Piran, Phys. Rev. D 42, 1068 (1990); I. H. Dvivedi and P. S. Joshi, Class. Quantum Grav. 9, L69 (1992); P. S. Joshi and I. H. Dvivedi, Commun. Math. Phys. 146, 333 (1992); K. S. Virbhadra, S. Jhingan and P. S. Joshi, "Nature of singularity in Einstein-massless scalar theory," gr-qc preprint, 9512030, 1995.
22. D. Christodoulou, Commun. Math. Phys. 93, 171 (1984); R. P. A. C. Newman, Class. Quantum Grav. 3, 527 (1986); B. Waugh and K. Lake, Phys. Rev. D 38, 1315 (1988); A. Ori and T. Piran, Phys. Rev. D 42, 1068 (1990); I. H. Dvivedi and P. S. Joshi, Class. Quantum Grav. 9, L69 (1992); P. S. Joshi and I. H. Dvivedi, Commun. Math. Phys. 146, 333 (1992); K. S. Virbhadra, S. Jhingan and P. S. Joshi, "Nature of singularity in Einstein-massless scalar theory," gr-qc preprint, 9512030, 1995.
23. D. Christodoulou, Commun. Math. Phys. 93, 171 (1984); R. P. A. C. Newman, Class. Quantum Grav. 3, 527 (1986); B. Waugh and K. Lake, Phys. Rev. D 38, 1315 (1988); A. Ori and T. Piran, Phys. Rev. D 42, 1068 (1990); I. H. Dvivedi and P. S. Joshi, Class. Quantum Grav. 9, L69 (1992); P. S. Joshi and I. H. Dvivedi, Commun. Math. Phys. 146, 333 (1992); K. S. Virbhadra, S. Jhingan and P. S. Joshi, "Nature of singularity in Einstein-massless scalar theory," gr-qc preprint, 9512030, 1995.
24. D. Christodoulou, Commun. Math. Phys. 93, 171 (1984); R. P. A. C. Newman, Class. Quantum Grav. 3, 527 (1986); B. Waugh and K. Lake, Phys. Rev. D 38, 1315 (1988); A. Ori and T. Piran, Phys. Rev. D 42, 1068 (1990); I. H. Dvivedi and P. S. Joshi, Class. Quantum Grav. 9, L69 (1992); P. S. Joshi and I. H. Dvivedi, Commun. Math. Phys. 146, 333 (1992); K. S. Virbhadra, S. Jhingan and P. S. Joshi, "Nature of singularity in Einstein-massless scalar theory," gr-qc preprint, 9512030, 1995.
25. F. J. Tipler, C. J. S. Clarke and G. F. R. Ellis, General Relativity and Gravitation, edited by A. Held (Plenum, New York 1980), p. 97.