메뉴 건너뛰기




Volumn 16, Issue 1, 2008, Pages 217-229

Rigidity of marginally trapped surfaces and the topology of black holes

Author keywords

[No Author keywords available]

Indexed keywords


EID: 47849120414     PISSN: 10198385     EISSN: None     Source Type: Journal    
DOI: 10.4310/CAG.2008.v16.n1.a7     Document Type: Article
Times cited : (72)

References (22)
  • 1
    • 40949120903 scopus 로고    scopus 로고
    • Rigidity and positivity of mass for asymptotically hyperbolic manifolds
    • L. Andersson, M. Cai and G. J. Galloway, Rigidity and positivity of mass for asymptotically hyperbolic manifolds, Ann. Henri Poincaré, 9 (2008), 1-33.
    • (2008) Ann. Henri Poincaré , vol.9 , pp. 1-33
    • Andersson, L.1    Cai, M.2    Galloway, G.J.3
  • 2
    • 27144454897 scopus 로고    scopus 로고
    • Local existence of dynamical and trapping horizons
    • L. Andersson, M. Mars and W. Simon, Local existence of dynamical and trapping horizons, Phys. Rev. Lett. 95 (2005), 111102.
    • (2005) Phys. Rev. Lett , vol.95 , pp. 111102
    • Andersson, L.1    Mars, M.2    Simon, W.3
  • 6
    • 33745861945 scopus 로고    scopus 로고
    • Uniqueness theorems for dynamical horizons
    • A. Ashtekar and G.J. Galloway, Uniqueness theorems for dynamical horizons, Adv. Theor. Math. Phys. 8 (2005), 1-30.
    • (2005) Adv. Theor. Math. Phys , vol.8 , pp. 1-30
    • Ashtekar, A.1    Galloway, G.J.2
  • 7
    • 85037237987 scopus 로고    scopus 로고
    • Dynamical horizons and their properties
    • A. Ashtekar and B. Krishnan, Dynamical horizons and their properties, Phys. Rev. D 68 (2003), 261101.
    • (2003) Phys. Rev. D , vol.68 , pp. 261101
    • Ashtekar, A.1    Krishnan, B.2
  • 8
    • 33746204115 scopus 로고    scopus 로고
    • Volume minimizing hypersurfaces in manifolds of non-negative scalar curvature
    • eds. K. Fukaya, S. Nishikawa and J. Spruck, Mathematical Society of Japan, Tokyo
    • M. Cai, Volume minimizing hypersurfaces in manifolds of non-negative scalar curvature, in Minimal surfaces, geometric analysis, and symplectic geometry, Advanced Studies in Pure Mathematics, eds. K. Fukaya, S. Nishikawa and J. Spruck, Mathematical Society of Japan, Tokyo, 34, 2002, 1-7.
    • (2002) Minimal surfaces, geometric analysis, and symplectic geometry, Advanced Studies in Pure Mathematics , vol.34 , pp. 1-7
    • Cai, M.1
  • 9
    • 0007234306 scopus 로고    scopus 로고
    • Rigidity of area minimzing tori in 3-manifolds of nonnegative scalar curvature
    • M. Cai and G.J. Galloway, Rigidity of area minimzing tori in 3-manifolds of nonnegative scalar curvature, Comm. Anal. Geom. 8 (2000), 565-573.
    • (2000) Comm. Anal. Geom , vol.8 , pp. 565-573
    • Cai, M.1    Galloway, G.J.2
  • 13
    • 85036918742 scopus 로고    scopus 로고
    • G.J. Galloway, Least area tori, black holes and topological censorship, Contemp. Math. 170, eds. J.K. Beem and K. Duggal, American Mathematical Society, Providence, RI, 1994, 113-123.
    • G.J. Galloway, Least area tori, black holes and topological censorship, Contemp. Math. 170, eds. J.K. Beem and K. Duggal, American Mathematical Society, Providence, RI, 1994, 113-123.
  • 14
    • 33746214630 scopus 로고    scopus 로고
    • A generalization of Hawking's black hole topology theorem to higher dimensions
    • G.J. Galloway and R. Schoen, A generalization of Hawking's black hole topology theorem to higher dimensions, Comm. Math. Phys. 266 (2006), 571-576.
    • (2006) Comm. Math. Phys , vol.266 , pp. 571-576
    • Galloway, G.J.1    Schoen, R.2
  • 18
    • 0000612631 scopus 로고
    • Gravitational collapse and space-time singularities
    • R. Penrose, Gravitational collapse and space-time singularities, Phys. Rev. Lett. 14 (1965), 57-59.
    • (1965) Phys. Rev. Lett , vol.14 , pp. 57-59
    • Penrose, R.1
  • 20
    • 0001145921 scopus 로고
    • On the structure of manifolds with positive scalar curvature
    • R. Schoen and S.-T. Yau, On the structure of manifolds with positive scalar curvature, Manuscripta Math. 28 (1979), 159-183.
    • (1979) Manuscripta Math , vol.28 , pp. 159-183
    • Schoen, R.1    Yau, S.-T.2
  • 21
    • 29244463784 scopus 로고
    • Proof of the positive of mass theorem. II
    • R. Schoen and S.-T. Yau, Proof of the positive of mass theorem. II, Comm. Math. Phys. 79 (1981), 231-260.
    • (1981) Comm. Math. Phys , vol.79 , pp. 231-260
    • Schoen, R.1    Yau, S.-T.2
  • 22
    • 0004057466 scopus 로고
    • University of Chicago Press, Chicago, IL
    • R.M. Wald, General relativity, University of Chicago Press, Chicago, IL, 1984.
    • (1984) General relativity
    • Wald, R.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.