A new derivation of the conformally flat stationary cyclic non-circular spacetimes

被引:1
作者
Ayon-Beato, Eloy [1 ,2 ]
Campuzano, Cuauhtemoc [1 ,3 ]
Garcia, Alberto [4 ,5 ]
机构
[1] Univ Veracruzana, Fac Fis & Inteligencia Artificial, Dept Fis, Xalapa 91000, Veracruz, Mexico
[2] Ctr Estudios Cient, Valdivia 1469, Chile
[3] Univ Nacl La Plata, Fac Ciencias Exactas, Dept Fis, RA-1900 La Plata, Argentina
[4] Univ Calif, Dept Phys, Davis, CA 95616 USA
[5] Ctr Invest Estudios Avanza IPN, Dept Fis, Mexico City 07000, DF, Mexico
来源
VII MEXICAN SCHOOL ON GRAVITATION AND MATHEMATICAL PHYSICS | 2007年 / 91卷
关键词
D O I
10.1088/1742-6596/91/1/012006
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We present an alternative way to derive the conformally flat stationary cyclic non-circular spacetimes. We show that there is no room for stationary axisymmetric non-circular axisymmetric spacetimes. We reproduce the well know results for this sort of spacetimes recently reported in [1].
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页数:5
相关论文
共 12 条
[1]   Conformally flat noncircular spacetimes [J].
Ayon-Beato, Eloy ;
Campuzano, Cuauhtemoc ;
Garcia, Alberto A. .
PHYSICAL REVIEW D, 2006, 74 (02)
[2]  
BARNES A, ARXIVGRQC0305091
[3]   COMMUTATION PROPERTY OF A STATIONARY, AXISYMMETRIC SYSTEM [J].
CARTER, B .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1970, 17 (03) :233-&
[4]  
GARCFA AA, ARXIVGRQC0205080
[5]  
Garcia A, 2003, ARXIVGRQC0310054
[6]   Conformally flat stationary axisymmetric spacetimes (vol 66, art no 124018, 2002) -: art. no. 049901 [J].
García, AA ;
Campuzano, C .
PHYSICAL REVIEW D, 2003, 68 (04)
[7]   Conformally flat stationary axisymmetric spacetimes -: art. no. 124018 [J].
García, AA ;
Campuzano, C .
PHYSICAL REVIEW D, 2002, 66 (12)
[8]   NONCIRCULAR AXISYMMETRICAL STATIONARY SPACETIMES [J].
GOURGOULHON, E ;
BONAZZOLA, S .
PHYSICAL REVIEW D, 1993, 48 (06) :2635-2652
[9]   Grad-Shafranov equation in noncircular stationary axisymmetric spacetimes [J].
Ioka, K ;
Sasaki, M .
PHYSICAL REVIEW D, 2003, 67 (12)
[10]   Relativistic stars with poloidal and toroidal magnetic fields and meridional flow [J].
Ioka, K ;
Sasaki, M .
ASTROPHYSICAL JOURNAL, 2004, 600 (01) :296-316