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Volumn 16, Issue 12 A, 1999, Pages

On the global initial value problem and the issue of singularities

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EID: 0033249471     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/16/12A/302     Document Type: Article
Times cited : (155)

References (22)
  • 1
    • 34250136481 scopus 로고
    • Remarks on the breakdown of smooth solutions of the 3-d Euler equations
    • [B-K-M] Beale J T, Kato T and Majda A 1984 Remarks on the breakdown of smooth solutions of the 3-d Euler equations Commun. Math. Phys. 94 61-6
    • (1984) Commun. Math. Phys. , vol.94 , pp. 61-66
    • Beale, J.T.1    Kato, T.2    Majda, A.3
  • 2
    • 34250590049 scopus 로고
    • Theoreme d'existence pour certain systemes d'equations aux deriveés partielles nonlinaires
    • [CB] Choquet-Bruhat Y 1952 Theoreme d'existence pour certain systemes d'equations aux deriveés partielles nonlinaires Acta Mathematica 88 141-225
    • (1952) Acta Mathematica , vol.88 , pp. 141-225
    • Choquet-Bruhat, Y.1
  • 3
    • 0000307876 scopus 로고
    • Global aspects of the cauchy problem in general relativity
    • [CB-G] Choquet-Bruhat Y and Geroch R P 1969 Global aspects of the Cauchy problem in general relativity Commun. Math. Phys. 14 329-35
    • (1969) Commun. Math. Phys. , vol.14 , pp. 329-335
    • Choquet-Bruhat, Y.1    Geroch, R.P.2
  • 5
    • 18544385583 scopus 로고
    • A mathematical theory of gravitational collapse
    • Christodoulou D 1987 A mathematical theory of gravitational collapse Commun. Math. Phys. 109 613-47
    • (1987) Commun. Math. Phys. , vol.109 , pp. 613-647
    • Christodoulou, D.1
  • 6
    • 84990553507 scopus 로고
    • The formation of black holes and singularities in spherically symmetric gravitational collapse
    • Christodoulou D 1991 The formation of black holes and singularities in spherically symmetric gravitational collapse Commun. Pure Appl. Math. XLIV 339-73
    • (1991) Commun. Pure Appl. Math. , vol.44 , pp. 339-373
    • Christodoulou, D.1
  • 7
    • 84990563908 scopus 로고
    • Bounded variation solutions of the spherically symmetric Einstein-scalar field equations
    • Christodoulou D 1993 Bounded variation solutions of the spherically symmetric Einstein-scalar field equations Commun. Pure Appl. Math. XLVI 1131-220
    • (1993) Commun. Pure Appl. Math. , vol.46 , pp. 1131-1220
    • Christodoulou, D.1
  • 8
    • 0001867432 scopus 로고
    • Examples of naked singularity formation in the gravitational collapse of a scalar field
    • Christodoulou D 1994 Examples of naked singularity formation in the gravitational collapse of a scalar field Ann. Math. 140 607-53
    • (1994) Ann. Math. , vol.140 , pp. 607-653
    • Christodoulou, D.1
  • 9
    • 0033241662 scopus 로고    scopus 로고
    • The instability of naked singularities in the gravitational collapse of a scalar field
    • Christodoulou D 1999 The instability of naked singularities in the gravitational collapse of a scalar field Ann. Math. 149 183-217
    • (1999) Ann. Math. , vol.149 , pp. 183-217
    • Christodoulou, D.1
  • 10
    • 0009393640 scopus 로고
    • Newtons Mechanik und ihr Einfluss auf die Gestaltung der theoretischen Physik
    • [E] Einstein A 1927 Newtons Mechanik und ihr Einfluss auf die Gestaltung der theoretischen Physik Naturwissenschafter 15 273-6 (Engl. transl. 1934 The World as I See It (Covici-Friede))
    • (1927) Naturwissenschafter , vol.15 , pp. 273-276
    • Einstein, A.1
  • 11
    • 0009393640 scopus 로고
    • Engl. transl.
    • [E] Einstein A 1927 Newtons Mechanik und ihr Einfluss auf die Gestaltung der theoretischen Physik Naturwissenschafter 15 273-6 (Engl. transl. 1934 The World as I See It (Covici-Friede))
    • (1934) The World As I See It (Covici-friede)
  • 12
    • 84981759861 scopus 로고
    • Solutions in the large for nonlinear hypebolic systems of equations
    • [G] Glimm J 1965 Solutions in the large for nonlinear hypebolic systems of equations Commun. Pure Appl. Math. XVIII 697-715
    • (1965) Commun. Pure Appl. Math. , vol.18 , pp. 697-715
    • Glimm, J.1
  • 15
    • 0009390642 scopus 로고    scopus 로고
    • Engl. transl.
    • [H] Hilbert D 1902 Mathematical problems 2nd Int. Congress of Mathematicians (Paris, 1900) (Engl. transl. Bull. Am. Math. Soc. 8 437-45, 478-9)
    • Bull. Am. Math. Soc. , vol.8 , pp. 437-445
  • 16
    • 0014929453 scopus 로고
    • The singularities of gravitational collapse and cosmology
    • [H-P] Hawking S W and Penrose R 1970 The singularities of gravitational collapse and cosmology Proc. R. Soc. A 314 529-48
    • (1970) Proc. R. Soc. A , vol.314 , pp. 529-548
    • Hawking, S.W.1    Penrose, R.2
  • 18
    • 0000612631 scopus 로고
    • Gravitational collapse and space-time singularities
    • Penrose R 1965 Gravitational collapse and space-time singularities Phys. Rev. Lett. 14 57-9
    • (1965) Phys. Rev. Lett. , vol.14 , pp. 57-59
    • Penrose, R.1
  • 19
    • 0000595513 scopus 로고
    • Gravitational collapse: The role of general relativity
    • Penrose R 1969 Gravitational collapse: the role of general relativity Nuovo Cimenta 1 252-76
    • (1969) Nuovo Cimenta , vol.1 , pp. 252-276
    • Penrose, R.1
  • 20
    • 0000739274 scopus 로고
    • Singularities and time-asymmetry
    • ed S W Hawking and W Israel Cambridge: Cambridge University Press
    • Penrose R 1979 Singularities and time-asymmetry General Relativity, an Einstein Centenary Survey ed S W Hawking and W Israel (Cambridge: Cambridge University Press) pp 581-638
    • (1979) General Relativity, an Einstein Centenary Survey , pp. 581-638
    • Penrose, R.1
  • 21
    • 0001628249 scopus 로고
    • Formation of singularities in three-dimensional compressible fluids
    • [S] Sideris T 1985 Formation of singularities in three-dimensional compressible fluids Commun. Math. Phys. 101 475-85
    • (1985) Commun. Math. Phys. , vol.101 , pp. 475-485
    • Sideris, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.