Spacelike Spherically Symmetric CMC Foliation in the Extended Schwarzschild Spacetime

被引:7
|
作者
Lee, Kuo-Wei [1 ]
Lee, Yng-Ing [1 ,2 ]
机构
[1] Natl Taiwan Univ, Dept Math, Taipei 10764, Taiwan
[2] Natl Taiwan Univ, Taipei Off, Natl Ctr Theoret Sci, Taipei 10764, Taiwan
来源
ANNALES HENRI POINCARE | 2016年 / 17卷 / 06期
关键词
CONSTANT-MEAN-CURVATURE; GENERAL-RELATIVITY; TIME; HYPERSURFACES; SURFACES;
D O I
10.1007/s00023-015-0432-y
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We first summarize the characterization of smooth spacelike spherically symmetric constant mean curvature (SS-CMC) hypersurfaces in the Schwarzschild spacetime and Kruskal extension. Then use the characterization to prove special SS-CMC foliation property, and verify part of the conjecture by Malec and A" Murchadha (Phys Rev D (3) 68:124019, 2003).
引用
收藏
页码:1477 / 1503
页数:27
相关论文
共 50 条
  • [31] Relativistic electromagnetic mass models in spherically symmetric spacetime
    S. K. Maurya
    Y. K. Gupta
    Saibal Ray
    Vikram Chatterjee
    Astrophysics and Space Science, 2016, 361
  • [32] Thermodynamics of horizons in a globally regular spherically symmetric spacetime
    Dymnikova, I.
    GRAVITATION & COSMOLOGY, 2012, 18 (03): : 161 - 167
  • [33] Quadrupole effects on the motion of extended bodies in Schwarzschild spacetime
    Bini, Donato
    Fortini, Pierluigi
    Geralico, Andrea
    Ortolan, Antonello
    CLASSICAL AND QUANTUM GRAVITY, 2008, 25 (03)
  • [34] Spherically symmetric perturbations of a Schwarzschild black hole in torsion bigravity
    Nikiforova, Vasilisa
    PHYSICAL REVIEW D, 2021, 104 (02)
  • [35] Linearised Perturbation of Constant Mass Aspect Function Foliation in Schwarzschild Black Hole Spacetime
    Le, Pengyu
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2023, 401 (01) : 551 - 611
  • [36] Beyond Schwarzschild: new pulsating coordinates for spherically symmetric metrics
    Leon, E. A.
    Nieto, J. A.
    Sandoval-Rodriguez, A.
    Martinez-Olivas, B.
    GENERAL RELATIVITY AND GRAVITATION, 2024, 56 (03)
  • [37] Linearised Perturbation of Constant Mass Aspect Function Foliation in Schwarzschild Black Hole Spacetime
    Pengyu Le
    Communications in Mathematical Physics, 2023, 401 : 551 - 611
  • [38] Beyond Schwarzschild: new pulsating coordinates for spherically symmetric metrics
    E. A. León
    J. A. Nieto
    A. Sandoval-Rodríguez
    B. Martínez-Olivas
    General Relativity and Gravitation, 2024, 56
  • [39] Entire spherically symmetric spacelike graphs with prescribed mean curvature function in Schwarzschild and Reissner-Nordstrom spacetimes (vol 32, 035018, 2015)
    de la Fuente, Daniel
    Romero, Alfonso
    Torres, Pedro J.
    CLASSICAL AND QUANTUM GRAVITY, 2018, 35 (05)
  • [40] Spherical symmetric solutions for the motion of relativistic membranes in the Schwarzschild spacetime
    He, Chun-Lei
    Kong, De-Xing
    JOURNAL OF MATHEMATICAL PHYSICS, 2009, 50 (08)