Invariant Solutions of the Wave Equation on Static Spherically Symmetric Spacetimes Admitting G7 Isometry Algebra

被引：1
|
作者：
Azad, Hassan [1 ]
Anaya, Khaleel [2 ]
Al-Dweik, Ahmad Y. [3 ]
Mustafa, M. T. [3 ]
机构：
[1] Govt Coll Univ, Abdus Salam Sch Math Sci, Lahore 54600, Pakistan
[2] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
[3] Qatar Univ, Dept Math Stat & Phys, Doha 2713, Qatar
来源：
SYMMETRY-BASEL | 2018年 / 10卷 / 12期
关键词：
wave equation; spherically symmetric spacetimes; lie symmetries; roots; optimal systems; invariant solutions;
D O I：
10.3390/sym10120665
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Algorithms to construct the optimal systems of dimension of at most three of Lie algebras are given. These algorithms are applied to determine the Lie algebra structure and optimal systems of the symmetries of the wave equation on static spherically symmetric spacetimes admitting G(7) as an isometry algebra. Joint invariants and invariant solutions corresponding to three-dimensional optimal systems are also determined.
引用
收藏
页数：26
相关论文
共 26 条
  • [1] Symmetry analysis of wave equation on static spherically symmetric spacetimes with higher symmetries
    Azad, H.
    Al-Dweik, Ahmad Y.
    Ghanam, R.
    Mustafa, M. T.
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2013, 54 (06)
  • [2] Analytic solutions of the geodesic equation in higher dimensional static spherically symmetric spacetimes
    Hackmann, Eva
    Kagramanova, Valeria
    Kunz, Jutta
    Laemmerzahl, Claus
    [J]. PHYSICAL REVIEW D, 2008, 78 (12):
  • [3] On well-posedness of the Cauchy problem for the wave equation in static spherically symmetric spacetimes
    Gamboa Saravi, Ricardo E.
    Sanmartino, Marcela
    Tchamitchian, Philippe
    [J]. CLASSICAL AND QUANTUM GRAVITY, 2013, 30 (23)
  • [4] Exact gravitational lens equation in spherically symmetric and static spacetimes
    Perlick, V
    [J]. PHYSICAL REVIEW D, 2004, 69 (06): : 10
  • [5] Noether symmetries and conservation laws of wave equation on static spherically symmetric spacetimes with higher symmetries
    Mustafa, T.
    Al-Dweik, Ahmad Y.
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 23 (1-3) : 141 - 152
  • [6] Israel coordinates for all static spherically symmetric spacetimes with vanishing second Ricci invariant
    Bisson, Yannick M.
    Lake, Kayll
    [J]. PHYSICAL REVIEW D, 2023, 108 (10)
  • [7] Static spherically symmetric solutions in f(G) gravity
    Sharif, M.
    Fatima, H. Ismat
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2016, 25 (07):
  • [8] SINGULARITIES IN SOLUTIONS OF EINSTEIN EQUATION FOR A STATIC SPHERICALLY SYMMETRIC FIELD
    PUGACHEV, YI
    GUNKO, VD
    [J]. IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII FIZIKA, 1974, (10): : 46 - 50
  • [9] Late-time asymptotics for the wave equation on spherically symmetric, stationary spacetimes
    Angelopoulos, Y.
    Aretakis, S.
    Gajic, D.
    [J]. ADVANCES IN MATHEMATICS, 2018, 323 : 529 - 621
  • [10] Analytic solutions of the geodesic equation in higher dimensional static spherically symmetric spacetimes (vo 78, art no 124018, 2008)
    Hackmann, Eva
    Kagramanova, Valeria
    Kunz, Jutta
    Lammerzahl, Claus
    [J]. PHYSICAL REVIEW D, 2009, 79 (02):
123