Geometric inequalities for black holes

被引:12
作者
Dain, Sergio [1 ]
机构
[1] Univ Nacl Cordoba, Fac Matemat Astron & Fis, IFEG, CONICET,FaMAF, RA-5000 Cordoba, Argentina
关键词
Black holes; Geometric inequalities; Mass; Angular momentum; Horizon area; MOMENTUM-MASS INEQUALITY; INITIAL DATA SETS; ANGULAR-MOMENTUM; TRAPPED SURFACES; HOOP CONJECTURE; PROOF; STATIONARY; EXISTENCE; COLLAPSE; ENERGY;
D O I
10.1007/s10714-014-1715-1
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
It is well known that the three parameters that characterize the Kerr black hole (mass, angular momentum and horizon area) satisfy several important inequalities. Remarkably, some of these inequalities remain valid also for dynamical black holes. This kind of inequalities play an important role in the characterization of the gravitational collapse. They are closed related with the cosmic censorship conjecture. In this article recent results in this subject are reviewed.
引用
收藏
页码:1 / 23
页数:23
相关论文
共 85 条
  • [1] Horizon area-angular momentum inequality for a class of axially symmetric black holes
    Acena, Andres
    Dain, Sergio
    Gabach Clement, Maria E.
    [J]. CLASSICAL AND QUANTUM GRAVITY, 2011, 28 (10)
  • [2] Andersson L, 2008, ADV THEOR MATH PHYS, V12, P853
  • [3] Anglada P., UNPUB
  • [4] [Anonymous], 1972, Magic Without Magic: John Archibald Wheeler
  • [5] Double-domain spectral method for black hole excision data
    Ansorg, M
    [J]. PHYSICAL REVIEW D, 2005, 72 (02): : 1 - 10
  • [6] Universal properties of distorted Kerr-Newman black holes
    Ansorg, Marcus
    Hennig, Joerg
    Cederbaum, Carla
    [J]. GENERAL RELATIVITY AND GRAVITATION, 2011, 43 (05) : 1205 - 1210
  • [7] A universal constraint between charge and rotation rate for degenerate black holes surrounded by matter
    Ansorg, Marcus
    Pfister, Herbert
    [J]. CLASSICAL AND QUANTUM GRAVITY, 2008, 25 (03)
  • [8] The inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter
    Ansorg, Marcus
    Hennig, Joerg
    [J]. CLASSICAL AND QUANTUM GRAVITY, 2008, 25 (22)
  • [9] Inner Cauchy Horizon of Axisymmetric and Stationary Black Holes with Surrounding Matter in Einstein-Maxwell Theory
    Ansorg, Marcus
    Hennig, Joerg
    [J]. PHYSICAL REVIEW LETTERS, 2009, 102 (22)
  • [10] Arnowitt R., 1962, Gravitation: An Introduction to Current Research, P227