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Volumn 58, Issue 1, 1998, Pages 15-33

Shock-wave solutions in closed form and the Oppenheimer-Snyder limit in general reality

Author keywords

Differential geometry; General relativity; Hyperbolic conservation laws shock waves

Indexed keywords

COMPUTATIONAL GEOMETRY; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; PROBLEM SOLVING;

EID: 0031999596     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/s0036139996297936     Document Type: Article
Times cited : (12)

References (10)
  • 1
    • 51249187397 scopus 로고
    • Singular hypersurfaces and thin shells in general relativity
    • W. ISRAEL, Singular hypersurfaces and thin shells in general relativity, Il Nuovo Cimento, XLIV B (1966), pp. 1-14.
    • (1966) Il Nuovo Cimento , vol.44 B , pp. 1-14
    • Israel, W.1
  • 2
    • 84980077727 scopus 로고
    • Hyperbolic systems of conservation laws
    • P. D. LAX, Hyperbolic systems of conservation laws, II, Comm. Pure Appl. Math., 10 (1957), pp. 537-566.
    • (1957) II, Comm. Pure Appl. Math. , vol.10 , pp. 537-566
    • Lax, P.D.1
  • 3
    • 36149009919 scopus 로고
    • On continued gravitational contraction
    • J. R. OPPENHEIMER AND J. R. SNYDER, On continued gravitational contraction, Phys. Rev., 56 (1939), pp. 455-459.
    • (1939) Phys. Rev. , vol.56 , pp. 455-459
    • Oppenheimer, J.R.1    Snyder, J.R.2
  • 5
    • 21144476273 scopus 로고
    • Global solutions of the relativistic Euler equations
    • J. SMOLLER AND B. TEMPLE, Global solutions of the relativistic Euler equations, Comm. Math. Phys., 157 (1993), pp. 67-99.
    • (1993) Comm. Math. Phys. , vol.157 , pp. 67-99
    • Smoller, J.1    Temple, B.2
  • 6
    • 21844525741 scopus 로고
    • Shock-wave solutions of the Einstein equations: The Oppenheimer-Snyder model of gravitational collapse extended to the case of non-zero pressure
    • J. SMOLLER AND B. TEMPLE, Shock-wave solutions of the Einstein equations: The Oppenheimer-Snyder model of gravitational collapse extended to the case of non-zero pressure, Arch. Rational Mech. Anal., 128 (1994), pp. 249-297.
    • (1994) Arch. Rational Mech. Anal. , vol.128 , pp. 249-297
    • Smoller, J.1    Temple, B.2
  • 7
    • 0001933140 scopus 로고
    • Astrophysical shock-wave solutions of the Einstein equations
    • J. SMOLLER AND B. TEMPLE, Astrophysical shock-wave solutions of the Einstein equations, Phys. Rev. D, 51 (1995), pp. 2733-2743.
    • (1995) Phys. Rev. D , vol.51 , pp. 2733-2743
    • Smoller, J.1    Temple, A.B.2
  • 8
    • 11644308370 scopus 로고    scopus 로고
    • Shock-wave solutions of the Einstein equations that extend the Oppenheimer-Snyder model
    • to appear
    • J. SMOLLER AND B. TEMPLE, Shock-wave solutions of the Einstein equations that extend the Oppenheimer-Snyder model, Arch. Rational Mech. Anal., to appear.
    • Arch. Rational Mech. Anal.
    • Smoller, J.1    Temple, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.