Second-order gravitational self-force

被引:42
作者
Rosenthal, Eran [1 ]
机构
[1] Univ Guelph, Dept Phys, Guelph, ON N1G 2W1, Canada
来源
PHYSICAL REVIEW D | 2006年 / 74卷 / 08期
关键词
D O I
10.1103/PhysRevD.74.084018
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We derive an expression for the second-order gravitational self-force that acts on a self-gravitating compact object moving in a curved background spacetime. First we develop a new method of derivation and apply it to the derivation of the first-order gravitational self-force. Here we find that our result conforms with the previously derived expression. Next we generalize our method and derive a new expression for the second-order gravitational self-force. This study also has a practical motivation: The data analysis for the planned gravitational wave detector LISA requires construction of waveform templates for the expected gravitational waves. Calculation of the two leading orders of the gravitational self-force will enable one to construct highly accurate waveform templates, which are needed for the data analysis of gravitational waves that are emitted from extreme mass-ratio binaries.
引用
收藏
页数:16
相关论文
共 22 条
[1]   Quasilocal contribution to the gravitational self-force -: art. no. 024036 [J].
Anderson, WG ;
Flanagan, ÉÉ ;
Ottewill, AC .
PHYSICAL REVIEW D, 2005, 71 (02) :024036-1
[2]  
[Anonymous], COMMUNICATION
[3]   LISA capture sources: Approximate waveforms, signal-to-noise ratios, and parameter estimation accuracy [J].
Barack, L ;
Cutler, C .
PHYSICAL REVIEW D, 2004, 69 (08) :24
[4]   Gravitational self-force and gauge transformations [J].
Barack, L ;
Ori, A .
PHYSICAL REVIEW D, 2001, 64 (12)
[5]  
Bender P., 1998, MPQ233
[6]  
DEATH PD, 1996, BLACK HOLES GRAVITAT, pCH3
[7]   Self-force via a Green's function decomposition [J].
Detweiler, S ;
Whiting, BF .
PHYSICAL REVIEW D, 2003, 67 (02)
[8]   RADIATION DAMPING IN A GRAVITATIONAL FIELD [J].
DEWITT, BS ;
BREHME, RW .
ANNALS OF PHYSICS, 1960, 9 (02) :220-259
[10]   DYNAMICS OF EXTENDED BODIES IN GENERAL RELATIVITY .3. EQUATIONS OF MOTION [J].
DIXON, WG .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1974, 277 (1264) :59-119