Exterior differential system for cosmological G2 perfect fluids and geodesic completeness

被引：12
|
作者：
Fernández-Jambrina, L
González-Romero, LM
机构：
[1] ETSI Navales, Dept Ensenanzas Basicas Ingn Naval, E-28040 Madrid, Spain
[2] Univ Complutense Madrid, Fac Ciencias Fis, Dept Fis Teor 2, E-28040 Madrid, Spain
来源：
CLASSICAL AND QUANTUM GRAVITY | 1999年 / 16卷 / 03期
关键词：
D O I：
10.1088/0264-9381/16/3/023
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
In this paper a new formalism based on exterior differential systems is derived for perfect-fluid spacetimes endowed with an Abelian orthogonally transitive G(2) group of motions acting on spacelike surfaces. This formulation allows simplifications of Einstein equations and it can be applied for different purposes. As an example a singularity-free metric is rederived in this framework. A sufficient condition for a diagonal metric to be geodescially complete is also provided.
引用
收藏
页码：953 / 972
页数：20
相关论文
共 50 条
  • [21] Extended T-System of Type G2
    Li, Jian-Rong
    Mukhin, Evgeny
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2013, 9
  • [22] THE G2 REAL-TIME EXPERT SYSTEM
    MOORE, R
    STANLEY, G
    SMITH, R
    AIAA COMPUTERS IN AEROSPACE VII CONFERENCE, PTS 1 AND 2: A COLLECTION OF PAPERS, 1989, : 1123 - 1129
  • [23] Object-oriented database system G2
    Hruska, T
    Mácel, M
    KNOWLEDGE-BASED SOFTWARE ENGINEERING, 2000, 62 : 17 - 24
  • [24] COMPLEX PARABOLIC SUBGROUPS OF G2 AND NONLINEAR DIFFERENTIAL-EQUATIONS
    BECKERS, J
    HUSSIN, V
    WINTERNITZ, P
    LETTERS IN MATHEMATICAL PHYSICS, 1986, 11 (01) : 81 - 86
  • [25] On the connection between cosmological parameters and peculiar motion in a G2 massless scalar field spacetime
    Gregoris, Daniele
    INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2021, 30 (13):
  • [26] Geodesic motion of S2 and G2 as a test of the fermionic dark matter nature of our Galactic core
    Becerra-Vergara, E. A.
    Arguelles, C. R.
    Krut, A.
    Rueda, J. A.
    Ruffini, R.
    ASTRONOMY & ASTROPHYSICS, 2020, 641
  • [27] NEW G1 AND G2 INHOMOGENEOUS COSMOLOGICAL MODELS FROM THE GENERALIZED KERR-SCHILD TRANSFORMATION
    SENOVILLA, JMM
    SOPUERTA, CF
    CLASSICAL AND QUANTUM GRAVITY, 1994, 11 (08) : 2073 - 2083
  • [28] Generating G2 cosmologies with a perfect fluid in dilaton gravity -: art. no. 104021
    Yazadjiev, SS
    PHYSICAL REVIEW D, 2003, 68 (10)
  • [29] Exact solutions for nonlinear fractional differential equations using (G′/G2)-expansion method
    Mohyud-Din, Syed Tauseef
    Bibi, Sadaf
    ALEXANDRIA ENGINEERING JOURNAL, 2018, 57 (02) : 1003 - 1008
  • [30] On twistor transformations and invariant differential operator of simple Lie group G2(2)
    Wang, Wei
    JOURNAL OF MATHEMATICAL PHYSICS, 2013, 54 (01)
12345