Gravitomagnetism in physics and astrophysics

Space Science Reviews

Volumn 148, Issue 1-4, 2009, Pages 37-52

  Schäfer, Gerhard ^a  

^a FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

Author keywords

General Relativity; Gravitomagnetism; Hamiltonian formulation; Spinning objects

Indexed keywords

GENERAL RELATIVITY; GRAVITOMAGNETIC FIELD; GRAVITOMAGNETISM; HAMILTON FORMALISM; HAMILTONIAN FORMULATIONS; REFERENCE FRAME; SPACETIME;

ASTROPHYSICS; GRAVITATION; HAMILTONIANS; RELATIVITY;

SUPERCONDUCTING MATERIALS;

EID: 75749092952     PISSN: 00386308     EISSN: 15729672     Source Type: Journal    
DOI: 10.1007/s11214-009-9537-2     Document Type: Article

References (41)

1. B. Barker R. O'Connell 1979 The gravitational interaction: Spin, rotation, and quantum effects-a review Gen. Relativ. Gravit. 11 149 175 10.1007/BF00756587 1979GReGr..11..149B
2. B. Bertotti I. Ciufolini P. Bender 1987 New test of general relativity: Measurement of the de Sitter geodetic precession rate for lunar perigee Phys. Rev. Lett. 58 1062 1065 10.1103/PhysRevLett.58.1062 884847 1987PhRvL..58.1062B
3. I. Ciufolini, J. Wheeler, Gravitation and Inertia (Princeton University Press, Princeton, 1995)
4. T. Damour 2001 Coalescence of two spinning black holes: An effective one-body approach Phys. Rev. D 64 124013 10.1103/PhysRevD.64.124013 1878182 2001PhRvD..64l4013D
5. T. Damour G. Schäfer 1988 Higher-order relativistic periastron advances and binary pulsars Nuovo Cimento B 101 127 176 10.1007/BF02828697 1988NCimB.101..127D
6. T. Damour P. Jaranowski G. Schäfer 2000 Poincaré invariance in the ADM Hamiltonian approach to the general relativistic two-body problem Phys. Rev. D 62 021501 10.1103/PhysRevD.62.021501 1818128 2000PhRvD..62b1501D (Pubitemid 40639429)
7. T. Damour P. Jaranowski G. Schäfer 2001 Erratum: Poincaré invariance in the ADM Hamiltonian approach to the general relativistic two-body problem Phys. Rev. D 63 029903 10.1103/PhysRevD.63.029903 1815815 2001PhRvD..63b9903D
8. T. Damour P. Jaranowski G. Schäfer 2008 Hamiltonian of two spinning compact bodies with next-to-leading order gravitational spin-orbit coupling Phys. Rev. D 77 064032 10.1103/PhysRevD.77.064032 2008PhRvD..77f4032D
9. W. de Sitter 1916 On Einstein's theory of gravitation and its astronomical consequences Mon. Not. R. Astron. Soc. 77 155 184 1916MNRAS..77..155D
10. B. DeWitt, Dynamical Theory of Groups and Fields (Gordon and Breach, New York, 1965)
11. G. Fleming 1965 Covariant position operators, spin and locality Phys. Rev. 137 B188 B197 10.1103/PhysRev.137.B188 186015 1965PhRv..137..188F
12. J. Frenkel 1926 Die Elektrodynamik des rotierenden Elektrons Z. Phys. 37 243 262 10.1007/BF01397099 1926ZPhy...37..243F
13. Y. Hagihara, Celestial Mechanics I. Dynamical Principles and Transformation Theory (MIT Press, Cambridge, 1970)
14. A. Hanson T. Regge 1974 The relativistic spherical top Ann. Phys. (NY) 87 498 566 10.1016/0003-4916(74)90046-3 351335 1974AnPhy..87..498H
15. S. Hergt G. Schäfer 2008 Higher-order-in-spin interaction Hamiltonians for binary black holes from source terms of Kerr geometry in approximate ADM coordinates Phys. Rev. D 77 104001 10.1103/PhysRevD.77.104001 2008PhRvD..77j4001H
16. S. Hergt G. Schäfer 2008 Higher-order-in-spin interaction Hamiltonians for binary black holes from Poincaré invariance Phys. Rev. D 78 124004 10.1103/PhysRevD.78.124004 2008PhRvD..78l4004H
17. C. Jentsch T. Müller E. Rasel W. Ertmer 2004 HYPER: A satellite mission in fundamental physics based on high precision atom interferometry Gen. Relativ. Gravit. 36 2197 2221 1063.83510 10.1023/B:GERG.0000046179.26175.fa 2004GReGr..36.2197J (Pubitemid 39631091)
18. T. Klügel, U. Schreiber, W. Schlüter, A. Velikoseltsev, Advances in inertial Earth rotation measurements-new data from the Wettzell G Ring Laser, in Proceedings of the "Journees Systemes de Reference Spatio-temporels 2007", ed. by N. Capitaine, Observatoire de Paris, 2007, pp. 173-176. http://syrte.obspm.fr/journees2007/PDF/s4-08-Klugel.pdf
19. C. Lämmerzahl, G. Neugebauer, The Lense-Thirring effect: From the basic notions to the observed effects, in Gyros, Clocks, Interferometers-: Testing Relativity in Space, ed. by C. Lämmerzahl, C. Everitt, F. Hehl (Springer, Berlin, 2001)
20. L. Landau, E. Lifschitz, Mechanik (Akademie-Verlag, Berlin, 1981)
21. L. Landau, E. Lifshitz, The Classical Theory of Fields (Pergamon, Oxford, 1985)
22. J. Lense H. Thirring 1918 Über den Einfluss der Eigenrotation der Zentralkörper auf die Bewegung der Planeten und Monde nach der Einsteinschen Gravitationstheorie Phys. Z. 19 156 163 See also English translation by B. Mashhoon, F.W. Hehl, D.S. Theis, Gen. Relativ. Gravit. 16, 711-750 (1984)
23. B. Mashhoon, Gravitoelectromagnetism, in Reference Frames and Gravitomagnetism, ed. by J. Pascual-Sánchez, L. Floría, A. San Miguel, F. Vicente (World Scientific, Singapore, 2001)
24. C. Misner, K. Thorne, J. Wheeler, Gravitation (Freeman, San Francisco, 1973)
25. C. Møller, The Theory of Relativity (Oxford University Press, Oxford, 1969)
26. G. Pugh, Proposal for a Satellite Test of the Coriolis Prediction of General Relativity. Weapons Systems Evaluation group Research Memorandum, vol. 11 (The Pentagon, Washington, 1959)
27. T. Regge T. Teitelboim 1974 Role of surface integrals in the Hamiltonian formulation of general relativity Ann. Phys. (NY) 88 286 318 0328.70016 10.1016/0003-4916(74)90404-7 359663 1974AnPhy..88..286R
28. M. Ruggiero A. Tartaglia 2002 Gravitomagnetic effects Nuovo Cimento B 117 743 768 2002NCimB.117..743R
29. G. Schäfer 2004 Gravitomagnetic effects Gen. Relativ. Gravit. 36 2223 2235 1065.83014 10.1023/B:GERG.0000046180.97877.32 2004GReGr..36.2223S (Pubitemid 39631092)
30. G. Schäfer 2005 Gravitation: Geometry and dynamics Ann. Phys. (Leipz.) 14 148 164 1138.83301 10.1002/andp.200410128 2005AnP....14..148S (Pubitemid 41089678)
31. L. Schiff 1960 Motion of a gyroscope according to Einsteins theory of gravitation Proc. Natl. Acad. Sci. 46 871 0090.18703 10.1073/pnas.46.6.871 118476 1960PNAS...46..871S
32. L. Schiff 1960 Possible new experimental test of general relativity theory Phys. Rev. Lett. 4 215 217 10.1103/PhysRevLett.4.215 1960PhRvL...4..215S
33. J. Schwinger, Particles, Sources, and Fields I (Perseus Books, Reading, 1998)
34. I. Shapiro R. Reasenberg J. Chandler R. Babcock 1988 Measurement of the de Sitter precession of the Moon: A relativistic three-body effect Phys. Rev. Lett. 61 2643 2646 10.1103/PhysRevLett.61.2643 1988PhRvL..61.2643S
35. S. Shapiro, S. Teukolsky, Black Holes, White Dwarfs, and Neutron Stars (Wiley, New York, 1983)
36. G. Stedman 1997 Ring-laser tests of fundamental physics and geophysics Rep. Prog. Phys. 60 615 688 10.1088/0034-4885/60/6/001 1997RPPh...60..615S
37. J. Steinhoff G. Schäfer S. Hergt 2008 ADM canonical formalism for gravitating spinning objects Phys. Rev. D 77 104018 10.1103/PhysRevD.77.104018 2443560 2008PhRvD..77j4018S
38. J. Steinhoff S. Hergt G. Schäfer 2008 Spin-squared Hamiltonian of next-to-leading gravitational interaction Phys. Rev. D 78 101503 10.1103/PhysRevD.78.101503 2008PhRvD..78j1503S
39. N. Straumann, Energy extraction from black holes (2007). arXiv:0709.3895v1
40. K. Thorne, R. Price, D. Macdonald, Black Holes: The Membrane Paradigm (Yale University Press, New Haven, 1986)
41. K. Yee M. Bander 1993 Equations of motion for spinning particles in external electromagnetic and gravitational fields Phys. Rev. D 48 2797 2799 10.1103/PhysRevD.48.2797 1236657 1993PhRvD..48.2797Y