Conformal Einstein equations and Cartan conformal connection

被引：12
作者：
Kozameh, C
Newman, ET
Nurowski, P
机构：
[1] Natl Univ Cordoba, FAMAF, RA-5000 Cordoba, Argentina
[2] Univ Pittsburgh, Dept Phys & Astron, Pittsburgh, PA 15260 USA
[3] Warsaw Univ, Inst Fiz Teoret, Warsaw, Poland
来源：
CLASSICAL AND QUANTUM GRAVITY | 2003年 / 20卷 / 14期
关键词：
D O I：
10.1088/0264-9381/20/14/305
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
Necessary and sufficient conditions for a spacetime to be conformal to an Einstein spacetime are interpreted in terms of curvature restrictions for the corresponding Cartan conformal connection.
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收藏
页码：3029 / 3035
页数：7
相关论文
共 13 条
[1]   CONFORMAL GRAVITY, THE EINSTEIN EQUATIONS AND SPACES OF COMPLEX NULL GEODESICS [J].
BASTON, RJ ;
MASON, LJ .
CLASSICAL AND QUANTUM GRAVITY, 1987, 4 (04) :815-826
[2]   Riemann spaces conformal to Einstein spaces [J].
Brinkmann, HW .
MATHEMATISCHE ANNALEN, 1924, 91 :269-278
[3]   TWISTOR CONNECTION AND NORMAL CONFORMAL CARTAN CONNECTION [J].
FRIEDRICH, H .
GENERAL RELATIVITY AND GRAVITATION, 1977, 8 (05) :303-312
[4]   EINSTEIN EQUATIONS AND CONFORMAL STRUCTURE - EXISTENCE OF ANTI DE SITTER TYPE SPACE-TIMES [J].
FRIEDRICH, H .
JOURNAL OF GEOMETRY AND PHYSICS, 1995, 17 (02) :125-184
[5]   GR VIA CHARACTERISTIC SURFACES [J].
FRITTELLI, S ;
KOZAMEH, C ;
NEWMAN, ET .
JOURNAL OF MATHEMATICAL PHYSICS, 1995, 36 (09) :4984-5004
[6]   LORENTZIAN METRICS FROM CHARACTERISTIC SURFACES [J].
FRITTELLI, S ;
KOZAMEH, C ;
NEWMAN, ET .
JOURNAL OF MATHEMATICAL PHYSICS, 1995, 36 (09) :4975-4983
[7]  
KORZYNSKI M, 2003, GRQC0301096
[8]   CONFORMAL EINSTEIN-SPACES [J].
KOZAMEH, CN ;
NEWMAN, ET ;
TOD, KP .
GENERAL RELATIVITY AND GRAVITATION, 1985, 17 (04) :343-352
[9]   A CONFORMALLY INVARIANT-THEORY OF GRAVITATION AND ELECTROMAGNETISM [J].
MERKULOV, SA .
CLASSICAL AND QUANTUM GRAVITY, 1984, 1 (04) :349-354
[10]   Non-vacuum twisting type-N metrics [J].
Nurowski, P ;
Plebanski, JF .
CLASSICAL AND QUANTUM GRAVITY, 2001, 18 (02) :341-351
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