Note on flat foliations of spherically symmetric spacetimes

被引：7
|
作者：
Husain, V [1 ]
Qadir, A
Siddiqui, AA
机构：
[1] Univ New Brunswick, Dept Math & Stat, Fredericton, NB E3B 5A3, Canada
[2] King Fahd Univ Petr & Minerals, Dept Math Sci, Dhahran 31261, Saudi Arabia
[3] Natl Univ Sci & Technol, E&ME Coll, Rawalpindi, Pakistan
来源：
PHYSICAL REVIEW D | 2002年 / 65卷 / 02期
关键词：
D O I：
10.1103/PhysRevD.65.027501
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
It is known that spherically symmetric spacetimes admit flat spacelike foliations. We point out a simple method of seeing this result via the Hamiltonian contraints of general relativity. The method yields explicit formulas for the extrinsic curvatures of the slicings.
引用
收藏
页数：2
相关论文
共 50 条
  • [1] Flat foliations of spherically symmetric geometries
    Guven, J
    Murchadha, NO
    [J]. PHYSICAL REVIEW D, 1999, 60 (10)
  • [2] Conformally flat spherically symmetric spacetimes
    Gron, Oyvind
    Johannesen, Steinar
    [J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2013, 128 (08):
  • [3] Conformally flat spherically symmetric spacetimes
    Øyvind Grøn
    Steinar Johannesen
    [J]. The European Physical Journal Plus, 128
  • [4] Kodama time: Geometrically preferred foliations of spherically symmetric spacetimes
    Abreu, Gabriel
    Visser, Matt
    [J]. PHYSICAL REVIEW D, 2010, 82 (04):
  • [5] Uniqueness of flat spherically symmetric spacelike hypersurfaces admitted by spherically symmetric static spacetimes
    Beig, Robert
    Siddiqui, Azad A.
    [J]. CLASSICAL AND QUANTUM GRAVITY, 2007, 24 (22) : 5435 - 5439
  • [6] A survey of spherically symmetric spacetimes
    Parry, Alan R.
    [J]. ANALYSIS AND MATHEMATICAL PHYSICS, 2014, 4 (04) : 333 - 375
  • [7] A survey of spherically symmetric spacetimes
    Alan R. Parry
    [J]. Analysis and Mathematical Physics, 2014, 4 : 333 - 375
  • [8] A classification of spherically symmetric spacetimes
    Tupper, Brian O. J.
    Keane, Aidan J.
    Carot, Jaume
    [J]. CLASSICAL AND QUANTUM GRAVITY, 2012, 29 (14)
  • [9] A note on spherically symmetric, static spacetimes in Kanno–Soda on-brane gravity
    Sayan Kar
    Sayantani Lahiri
    Soumitra SenGupta
    [J]. General Relativity and Gravitation, 2015, 47
  • [10] Spherically symmetric spacetimes in massive gravity
    Damour, T
    Kogan, II
    Papazoglou, A
    [J]. PHYSICAL REVIEW D, 2003, 67 (06):
12345