Dynamical horizons: Energy, angular momentum, fluxes, and balance laws

被引:226
作者
Ashtekar, A [1 ]
Krishnan, B
机构
[1] Penn State Univ, Ctr Gravitat Phys & Geometry, University Pk, PA 16802 USA
[2] Penn State Univ, Dept Phys, Ctr Gravitat Wave Phys, University Pk, PA 16802 USA
基金
美国国家科学基金会;
关键词
Astrophysics - Computer simulation - Differential equations - Gravity waves - Integral equations - Mathematical operators - Tensors - Vectors;
D O I
10.1103/PhysRevLett.89.261101
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Dynamical horizons are considered in full, nonlinear general relativity. Expressions of fluxes of energy and angular momentum carried by gravitational waves across these horizons are obtained. Fluxes are local, the energy flux is positive, and change in the horizon area is related to these fluxes. The flux formulas also give rise to balance laws analogous to the ones obtained by Bondi and Sachs at null infinity and provide generalizations of the first and second laws of black-hole mechanics.
引用
收藏
页码:1 / 261101
页数:4
相关论文
共 8 条
  • [1] Generic isolated horizons and their applications
    Ashtekar, A
    Beetle, C
    Dreyer, O
    Fairhurst, S
    Krishnan, B
    Lewandowski, J
    Wisniewski, J
    [J]. PHYSICAL REVIEW LETTERS, 2000, 85 (17) : 3564 - 3567
  • [2] Mechanics of rotating isolated horizons
    Ashtekar, A
    Beetle, C
    Lewandowski, J
    [J]. PHYSICAL REVIEW D, 2001, 64 (04):
  • [3] Isolated horizons: Hamiltonian evolution and the first law
    Ashtekar, A
    Fairhurst, S
    Krishnan, B
    [J]. PHYSICAL REVIEW D, 2000, 62 (10)
  • [4] ASHTEKAR A, IN PRESS
  • [5] Dreyer O., GRQC0206008
  • [6] GENERAL LAWS OF BLACK-HOLE DYNAMICS
    HAYWARD, SA
    [J]. PHYSICAL REVIEW D, 1994, 49 (12) : 6467 - 6474
  • [7] KRISHNAN B, 2002, THESIS PENN STATE
  • [8] Wald R. M., 1994, QUANTUM FIELD THEORY