Gravitation: Geometry and dynamics

Annalen der Physik (Leipzig)

Volumn 14, Issue 1-3, 2005, Pages 148-164

  Schäfer, Gerhard ^a  

^a FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

Author keywords

Equations of motion; Experimental tests; Gravitation; Spacetime geometry

Indexed keywords

COMPUTATIONAL GEOMETRY; COMPUTATIONAL METHODS; GRAVITATION; HAMILTONIANS; INVARIANCE; MATHEMATICAL TRANSFORMATIONS;

GENERAL RELATIVITY; PHYSICAL DYNAMICS; POST-NEWTONIAN CALCULATIONS; REFERENCE FRAMES;

QUANTUM THEORY;

EID: 23244451466     PISSN: 00033804     EISSN: None     Source Type: Journal    
DOI: 10.1002/andp.200410128     Document Type: Article

References (39)

1. A. Einstein, Ann. Phys. (Leipzig) 49, 769 (1916).
2. A. Einstein, Sitz.ber. Preuss. Akad. Wiss., 1916, p. 688;
3. Sitz.ber. Preuss. Akad. Wiss., 1918, p. 154.
4. N. Straumann, General Relativity (Springer, Berlin, 2004).
5. G. Börner, The Early Universe (Springer, Berlin, 2003).
6. J. Schwinger, Phys. Rev. 82, 914 (1951);
7. J. Schwinger, Phys. Rev. 91, 713 (1953).
8. C.W. Misner, K.S. Thorne, and J.A. Wheeler, Gravitation (Freeman, San Francisco, 1973).
9. J. Ehlers, Akad. Wiss. Lit. Mainz, Abhandl. Math.-Nat. Kl. 11, 793 (1961);
10. English translation: Gen. Relativ. Gravit. 25, 1225 (1993).
11. B. S. DeWitt, in: Relativity, Groups and Topology, edited by C. DeWitt and B. DeWitt (Gordon and Breach, New York, 1964), p. 587.
12. J. Schwinger, Phys. Rev. 130, 1253 (1963);
13. Phys. Rev. 132, 1317 (1963).
14. F.W. Hehl, J.D. McCrea, E.W Mielke, and Y. Ne'eman, Phys. Rep. 258, 1 (1995).
15. A. Trautman, The Einstein-Cartan Theory (Encyclopedia of athematical Physics, Elsevier Science, 2005), in press.
16. T. Damour, P. Jaranowski, and G. Schäfer, Phys. Lett. B 513, 147 (2001).
17. Y. Itoh, Phys. Rev. D 69, 064018 (2004).
18. G. Schäfer, Ann. Phys. (N. Y.) 161, 81 (1985).
19. R. Arnowitt, S. Deser, and C.W. Misner, in Gravitation: An Introduction to Current Research, edited by L. Witten (Wiley, New York, 1962), p. 227.
20. A. Hanson, T. Regge, and C. Teitelboim, Constraint Hamiltonian Systems (Academia Nazionale dei Lincei, Roma, 1976).
21. B. S. DeWitt, Phys. Rev. 160, 1113 (1967).
22. J. Ehlers, in: Logic, Methology and Philosophy of Science VII, edited by Barcan Marcus et al. (Elsevier, Amsterdam, 1986), p. 387.
23. T. Damour and G. Schäfer, Nuovo Cimento B 101, 127 (1988).
24. C. Königsdörffer, G. Paye, and G. Schäfer, Phys. Rev. D 68, 044004 (2003).
25. C. M. Will, Theory and Experiment in Gravitational Physics (Cambridge University Press, Cambridge, 1993).
26. I. Ciufolini, Gen. Relativ. Gravit. 36, 2257 (2004).
27. L. Iorio, Some comments on the recent results about the measurement of the Lense-Thirring effect in the gravitational effect of the Earth with LAGEOS and LAGEOS II satellites, arXiv:gr-qc/0411084.
28. L. Blanchet, Living Rev. Relativ. 3 (2002).
29. H. Marion, F. Pereira Dos Santos, M. Abgrall, S. Zhang, Y. Sortais, S. Bize, I. Maksimovic, D. Calonico, J. Grunert, C. Mandache, P. Lemonde, G. Santarelli, Ph. Laurent, A. Clairon, and C. Salomon, Phys. Rev. Lett. 90, 150801 (2003).
30. T. E. R. Chupp, R. J. Hoare, R. A. Loveman, E. R. Oteiza, J. M. Richardson, M. E. Wagshul, and A. K. Thompson, Phys. Rev. Lett., 63, 1541 (1989).
31. A. Bauch and S. Weyers, Phys. Rev. D 65, 081101 (2002).
32. R.F.C. Vessot, M.W. Levine, E.M. Mattison, E.L. Blomberg, T.E. Hoffman, G.U. Nystrom, B.F. Farrel, R. Decher, P.B. Eby, C.R. Baugher, J.W. Watts, D. L. Teuber, and F. O. Wills, Phys. Rev. Lett. 45, 2081 (1980).
33. T. Damour and A.M. Polyakov, Nucl. Phys. B 423, 532(1994);
34. Gen. Relativ. Gravit. 26, 1171 (1994).
35. E. G. Adelberger, Class. Quantum Gravity 18, 2397 (2001).
36. J.G. Williams, D.H. Boggs, S.G. Turyshev, and J.T. Ratcliff, Lunar Laser Ranging Science, arXiv:gr-qc/0411095.
37. B. Bertotti, L. less, and P. Tortora, Nature 425, 374 (2003).
38. J. M. Weisberg and J. H. Taylor, Relativistic Binary Pulsar B1913+16: Thirty Years of Observations and Analysis, arXiv:astro-ph/0407149.
39. I.H. Stairs, S.E. Thorsett, J.H. Taylor, and A. Wolszczan, Astrophys. J. 581, 501 (2002).