Geometric inequalities and trapped surfaces in higher dimensional spacetimes -: art. no. 101501

被引:17
作者
Barrabès, C
Frolov, VP
Lesigne, E
机构
[1] Univ Tours, CNRS, UMR 6083, Lab Math & Phys Theor, F-37200 Tours, France
[2] Univ Alberta, Inst Theoret Phys, Dept Phys, Edmonton, AB T6G 2J1, Canada
来源
PHYSICAL REVIEW D | 2004年 / 69卷 / 10期
关键词
D O I
10.1103/PhysRevD.69.101501
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Geometric inequalities of classical differential geometry are used to extend to higher dimensional spacetimes the Penrose-Gibbons isoperimetric inequality and the hoop conjecture of general relativity.
引用
收藏
页数:5
相关论文
共 28 条
  • [1] New dimensions at a millimeter to a fermi and superstrings at a TeV
    Antoniadis, I
    Arkani-Hamed, N
    Dimopoulos, S
    Dvali, G
    [J]. PHYSICS LETTERS B, 1998, 436 (3-4) : 257 - 263
  • [2] The hierarchy problem and new dimensions at a millimeter
    Arkani-Hamed, N
    Dimopoulos, S
    Dvali, G
    [J]. PHYSICS LETTERS B, 1998, 429 (3-4) : 263 - 272
  • [3] THIN SHELLS IN GENERAL-RELATIVITY AND COSMOLOGY - THE LIGHTLIKE LIMIT
    BARRABES, C
    ISRAEL, W
    [J]. PHYSICAL REVIEW D, 1991, 43 (04): : 1129 - 1142
  • [4] GEOMETRIC INEQUALITIES AND THE HOOP CONJECTURE
    BARRABES, C
    GRAMAIN, A
    LESIGNE, E
    LETELIER, PS
    [J]. CLASSICAL AND QUANTUM GRAVITY, 1992, 9 (09) : L105 - L110
  • [5] ANALYTIC MODELS OF NONSPHERICAL COLLAPSE, COSMIC CENSORSHIP AND THE HOOP CONJECTURE
    BARRABES, C
    ISRAEL, W
    LETELIER, PS
    [J]. PHYSICS LETTERS A, 1991, 160 (01) : 41 - 44
  • [6] Burago Y. D., 1988, Geometric Inequalities
  • [7] HOOP CONJECTURE FOR APPARENT HORIZON FORMATION
    CHIBA, T
    NAKAMURA, T
    NAKAO, K
    SASAKI, M
    [J]. CLASSICAL AND QUANTUM GRAVITY, 1994, 11 (02) : 431 - 441
  • [8] Classical black hole production in high-energy collisions
    Eardley, DM
    Giddings, SB
    [J]. PHYSICAL REVIEW D, 2002, 66 (04)
  • [9] A rotating black ring solution in five dimensions
    Emparan, R
    Reall, HS
    [J]. PHYSICAL REVIEW LETTERS, 2002, 88 (10) : 4
  • [10] Instability of ultra-spinning black holes
    Emparan, R
    Myers, RC
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2003, (09):