Estimates for the volume of a Lorentzian manifold

被引：2

作者：

Gerhardt, C ^{[1
]}

机构：

[1] Univ Heidelberg, Inst Angew Math, D-69120 Heidelberg, Germany

来源：

GENERAL RELATIVITY AND GRAVITATION | 2003年 / 35卷 / 02期

关键词：

Lorentzian manifold; volume estimates; cosmological spacetime; general relativity; constant mean curvature; CMC hypersurface;

D O I：

10.1023/A:1022336925552

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We prove new estimates for the volume of a Lorentzian manifold and show especially that cosmological spacetimes with crushing singularities have finite volume.

引用

页码：201 / 207

页数：7

共 50 条

[21] How to Find the Holonomy Algebra of a Lorentzian Manifold
Galaev, Anton S.
LETTERS IN MATHEMATICAL PHYSICS, 2015, 105 (02) : 199 - 219
[22] SOME PROPERTIES OF MAXIMAL SUBMANIFOLDS OF A LORENTZIAN MANIFOLD
CHOQUETBRUHAT, Y
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1975, 281 (14): : 577 - 580
[23] One component of the curvature tensor of a Lorentzian manifold
Galaev, Anton S.
JOURNAL OF GEOMETRY AND PHYSICS, 2010, 60 (6-8) : 962 - 971
[24] Regularity of harmonic maps into a static Lorentzian manifold
Takeshi Isobe
The Journal of Geometric Analysis, 1998, 8 (3): : 447 - 463
[25] How to Find the Holonomy Algebra of a Lorentzian Manifold
Anton S. Galaev
Letters in Mathematical Physics, 2015, 105 : 199 - 219
[26] Optimal regularity of harmonic maps from a Riemannian manifold into a static Lorentzian manifold
Isobe, T
PACIFIC JOURNAL OF MATHEMATICS, 1997, 178 (01) : 71 - 93
[27] A new topology on the space of Lorentzian metrics on a fixed manifold
Noldus, J
CLASSICAL AND QUANTUM GRAVITY, 2002, 19 (23) : 6075 - 6107
[28] NULL HYPERSURFACES EVOLVED BY THEIR MEAN CURVATURE IN A LORENTZIAN MANIFOLD
Massamba, Fortune
Ssekajja, Samuel
COLLOQUIUM MATHEMATICUM, 2019, 157 (01) : 83 - 106
[29] Conditions on a null hypersurface of a Lorentzian manifold to be a null cone
Gutierrez, Manuel
Olea, Benjamin
JOURNAL OF GEOMETRY AND PHYSICS, 2019, 145
[30] THE CONFORMAL GROUP OF A COMPACT SIMPLY CONNECTED LORENTZIAN MANIFOLD
Melnick, Karin
Pecastaing, Vincent
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 35 (01) : 81 - 122

← 1 2 3 4 5 →