Non-relativistic gravitation: from Newton to Einstein and back

被引：110

作者：

Kol, Barak ^{[1
]}

Smolkin, Michael ^{[1
]}

机构：

[1] Hebrew Univ Jerusalem, Racah Inst Phys, IL-91904 Jerusalem, Israel

来源：

CLASSICAL AND QUANTUM GRAVITY | 2008年 / 25卷 / 14期

关键词：

D O I：

10.1088/0264-9381/25/14/145011

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We present an improvement to the classical effective theory approach to the non-relativistic or post-Newtonian approximation of general relativity. The 'potential metric field' is decomposed through a temporal Kaluza-Klein ansatz into three non-relativistic gravity (NRG) fields: a scalar identified with the Newtonian potential, a 3-vector corresponding to the gravito-magnetic vector potential and a 3-tensor. The derivation of the Einstein-Infeld-Hoffmann Lagrangian simplifies such that each term corresponds to a single Feynman diagram providing a clear physical interpretation. Spin interactions are dominated by the exchange of the gravito-magnetic field. Leading correction diagrams corresponding to the 3PN correction to the spin-spin interaction and the 2.5PN correction to the spin-orbit interaction are presented.

引用

页数：8

共 29 条

[1]

Chu YZ, 2006, J HIGH ENERGY PHYS

[2] Hamiltonian of two spinning compact bodies with next-to-leading order gravitational spin-orbit coupling [J].

Damour, Thibault ;

Jaranowski, Piotr ;

Schaefer, Gerhard .

PHYSICAL REVIEW D, 2008, 77 (06)

[3] The gravitational equations and the problem of motion [J].

Einstein, A ;

Infeld, L ;

Hoffmann, B .

ANNALS OF MATHEMATICS, 1938, 39 :65-100

[4]

Einstein A, 1915, SITZBER K PREUSS AKA, P844

[5] Higher-order spin effects in the dynamics of compact binaries. I. Equations of motion [J].

Faye, Guillaume ;

Blanchet, Luc ;

Buonanno, Alessandra .

PHYSICAL REVIEW D, 2006, 74 (10)

[6] Dissipative effects in the worldline approach to black hole dynamics [J].

Goldberger, Walter D. ;

Rothstein, Ira Z. .

PHYSICAL REVIEW D, 2006, 73 (10)

[7] Effective field theory of gravity for extended objects [J].

Goldberger, Walter D. ;

Rothstein, Ira Z. .

PHYSICAL REVIEW D, 2006, 73 (10)

[8]

GOLDBERGER WD, 2007, P HOUCH SUMM SCH SES, V86

[9] Matched asymptotic expansion for caged black holes: regularization of the post-Newtonian order [J].

Gorbonos, D ;

Kol, B .

CLASSICAL AND QUANTUM GRAVITY, 2005, 22 (19) :3935-3959

[10]

Gorbonos D, 2004, J HIGH ENERGY PHYS

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