All spacetimes with vanishing curvature invariants

被引：104

作者：

Pravda, V

Pravdová, A

Coley, A

Milson, R

机构：

[1] Acad Sci Czech Republ, Inst Math, CR-11567 Prague 1, Czech Republic

[2] Dalhousie Univ, Dept Math & Stat, Halifax, NS B3H 3J5, Canada

来源：

CLASSICAL AND QUANTUM GRAVITY | 2002年 / 19卷 / 23期

关键词：

D O I：

10.1088/0264-9381/19/23/318

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

All Lorentzian spacetimes with vanishing invariants constructed from the Riemann tensor and its covariant derivatives are determined. A subclass of the Kundt spacetimes results and we display the corresponding metrics in local coordinates. Some potential applications of these spacetimes are discussed.

引用

收藏

页码：6213 / 6236

页数：24

相关论文

共 52 条

[1] NONPERTURBATIVE COMPUTATION OF THE WEYL ANOMALY FOR A CLASS OF NONTRIVIAL BACKGROUNDS [J].

AMATI, D ;

KLIMCIK, C .

PHYSICS LETTERS B, 1989, 219 (04) :443-447

[2] The hierarchy problem and new dimensions at a millimeter [J].

Arkani-Hamed, N ;

Dimopoulos, S ;

Dvali, G .

PHYSICS LETTERS B, 1998, 429 (3-4) :263-272

[3]

BARCELO C, 2002, GRQC0205066

[4] Strings in flat space and pp waves from N = 4 super Yang Mills [J].

Berenstein, D ;

Maldacena, J ;

Natase, H .

JOURNAL OF HIGH ENERGY PHYSICS, 2002, (04)

[5] Curvature invariants in type-N spacetimes [J].

Bicak, J ;

Pravda, V .

CLASSICAL AND QUANTUM GRAVITY, 1998, 15 (06) :1539-1555

[6]

Blau M, 2002, J HIGH ENERGY PHYS

[7] Penrose limits, supergravity and brane dynamics [J].

Blau, M ;

Figueroa-O'Farrill, J ;

Papadopoulos, G .

CLASSICAL AND QUANTUM GRAVITY, 2002, 19 (18) :4753-4805

[8] Penrose limits and maximal supersymmetry [J].

Blau, M ;

Figueroa-O'Farrill, J ;

Hull, C ;

Papadopoulos, G .

CLASSICAL AND QUANTUM GRAVITY, 2002, 19 (10) :L87-L95

[9]

Carmeli M., 2000, GROUP THEORY GEN REL

[10] On the problem of algebraic completeness for the invariants of the Riemann tensor. III. [J].

Carminati, J ;

Zakhary, E .

JOURNAL OF MATHEMATICAL PHYSICS, 2002, 43 (08) :4020-4034

← 1 2 3 4 5 6 →