Circular orbits in Kerr spacetime: equatorial plane embedding diagrams

被引:5
作者
Bini, D [1 ]
Jantzen, RT
机构
[1] CNR, Ist Applicaz Matemat, I-80131 Naples, Italy
[2] Univ Rome, Int Ctr Relativist Astrophys, I-00185 Rome, Italy
[3] Villanova Univ, Dept Math Sci, Villanova, PA 19085 USA
关键词
D O I
10.1088/0264-9381/17/7/305
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
An embedding diagram helps visualize the observer-dependent projected spatial geometry of the equatorial plane in the Kerr spacetime as Seen by a family of circularly rotating observers. This is described for the various geometrically defined families of such observers, motivated by the attempt to better understand how the spatial geometry contributes to the properties of particle motion as seen by those observers. A new family of observers is introduced for which the equatorial plane appears to be flat.
引用
收藏
页码:1637 / 1647
页数:11
相关论文
共 14 条
[1]   OPTICAL REFERENCE GEOMETRY FOR STATIONARY AND STATIC DYNAMICS [J].
ABRAMOWICZ, MA ;
CARTER, B ;
LASOTA, JP .
GENERAL RELATIVITY AND GRAVITATION, 1988, 20 (11) :1173-1183
[2]  
Arnold VI, 2013, Mathematical methods of classical mechanics
[3]   The intrinsic derivative and centrifugal forces in general relativity .2. Applications to circular orbits in some familiar stationary axisymmetric spacetimes [J].
Bini, D ;
Carini, P ;
Jantzen, RT .
INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 1997, 6 (02) :143-198
[4]  
BINI D, 1998, CLASSICAL QUANT GRAV, V15, P2105
[5]   GLOBAL STRUCTURE OF KERR FAMILY OF GRAVITATIONAL FIELDS [J].
CARTER, B .
PHYSICAL REVIEW, 1968, 174 (05) :1559-+
[6]  
KARLOVINI M, 2000, GRQC0002045
[7]   Optical space of the Reissner-Nordstrom solutions [J].
Kristiansson, S ;
Sonego, S ;
Abramowicz, MA .
GENERAL RELATIVITY AND GRAVITATION, 1998, 30 (02) :275-288
[8]   QUASI-LOCAL ENERGY FOR A KERR BLACK-HOLE [J].
MARTINEZ, EA .
PHYSICAL REVIEW D, 1994, 50 (08) :4920-4928
[9]  
Misner C., 1973, GRAVITATION
[10]   Maximal acceleration is non-rotating [J].
Page, DN .
CLASSICAL AND QUANTUM GRAVITY, 1998, 15 (06) :1669-1719