SPACETIMES WITH ALL SCALAR CURVATURE INVARIANTS IN TERMS OF A COSMOLOGICAL CONSTANT

被引:1
|
作者
McNutt, David [1 ]
机构
[1] Dalhousie Univ, Dept Math & Stat, Halifax, NS B3H 4R2, Canada
来源
基金
加拿大自然科学与工程研究理事会;
关键词
Kundt spacetime; cosmological constant; universal spacetime; plane-fronted waves; gyratons; NP formalism; invariant classification of spacetimes; GRAVITATIONAL-WAVES; N SOLUTIONS; VACUUM SPACETIMES; CLASSIFICATION;
D O I
10.1142/S021827181350003X
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In this paper we provide an invariant characterization for all spacetimes with all polynomial scalar invariants constructed from the Riemann tensor and its covariant derivatives vanishing except those zeroth-order curvature invariants expressed as polynomials in., the cosmological constant. Using this invariant description we provide an explicit forms for the metric.
引用
收藏
页数:11
相关论文
共 50 条
  • [21] On Lorentz spacetimes of constant curvature
    Gueritaud, Francois
    GEOMETRY, GROUPS AND DYNAMICS, 2015, 639 : 253 - 269
  • [22] Lorentz spacetimes of constant curvature
    Geoffrey Mess
    Geometriae Dedicata, 2007, 126 : 3 - 45
  • [23] Constant scalar curvature hypersurfaces in (3+1)-dimensional GHMC Minkowski spacetimes
    Smith, Graham
    JOURNAL OF GEOMETRY AND PHYSICS, 2018, 128 : 99 - 117
  • [24] Casimir effect in spacetimes with cosmological constant
    Bessa, C. H. G.
    Bezerra, V. B.
    Silva, J. C. J.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2016, 25 (09):
  • [25] On the existence of horizons in spacetimes with vanishing curvature invariants
    Senovilla, JMM
    JOURNAL OF HIGH ENERGY PHYSICS, 2003, (11):
  • [26] Curvature invariants in type-N spacetimes
    Bicak, J
    Pravda, V
    CLASSICAL AND QUANTUM GRAVITY, 1998, 15 (06) : 1539 - 1555
  • [27] Curvature invariants in type-III spacetimes
    Pravda, V
    CLASSICAL AND QUANTUM GRAVITY, 1999, 16 (10) : 3321 - 3326
  • [29] COSMOLOGICAL CONSTANT AND SCALAR GRAVITONS
    LORD, EA
    SINHA, KP
    SIVARAM, C
    PROGRESS OF THEORETICAL PHYSICS, 1974, 52 (01): : 161 - 169
  • [30] Gravitomagnetism and the significance of the curvature scalar invariants
    Costa, L. Filipe O.
    Wylleman, Lode
    Natario, Jose
    PHYSICAL REVIEW D, 2021, 104 (08)