The Post-Newtonian Approximation for Relativistic Compact Binaries

作者: Toshifumi Futamase , Yousuke Itoh

DOI: 10.12942/LRR-2007-2

关键词: Newtonian limitPhysicsPost-Newtonian expansionEnergy–momentum relationGeneral relativityRelativistic mechanicsRelativistic Doppler effectRelativistic speedClassical mechanicsRelativistic particle

摘要: We discuss various aspects of the post-Newtonian approximation in general relativity. After presenting foundation based on Newtonian limit, we show a method to derive equations motion for relativistic compact binaries surface integral approach and strong field point particle limit. As an application third which respect Lorentz invariance perturbative sense, admit conserved energy, are free from any ambiguity.

参考文章(183)
Gerhard Schäfer, The ADM Hamiltonian at the postlinear approximation General Relativity and Gravitation. ,vol. 18, pp. 255- 270 ,(1986) , 10.1007/BF00765886
Bernard F. Schutz, Motion and Radiation in General Relativity 5th Simposio Latino Americano de Relatividad y Gravitacion. pp. 3- 80 ,(1985)
Thibault Damour, Luc Blanchet, Post-Newtonian generation of gravitational waves. Annales De L Institut Henri Poincare-physique Theorique. ,vol. 50, pp. 377- 408 ,(1989)
Simposio Latino Americano de Relatividad y Gravitación, V. Hamity, Oscar J. Bressan, M. Castagnino, Relativity supersymmetry, and cosmology : proceedings of the 5th Simposio Latino Americano de Relatividad y Gravitación--SILARG V World Scientific. ,(1985)
K. Danzmann, J. Chen, P. G. Nelson, T. M. Niebauer, A. Rüdiger, R. Schilling, L. Schnupp, K. A. Strain, H. Walther, W. Winkler, J. Hough, A. M. Campbell, C. A. Cantley, J. E. Logan, B. J. Meers, E. Morrison, G. P. Newton, D. I. Robertson, N. A. Robertson, S. Rowan, K. D. Skeldon, P. J. Veitch, H. Ward, H. Welling, P. Aufmuth, I. Kröpke, D. Ristau, J. E. Hall, J. R. J. Bennett, I. F. Corbett, B. W. H. Edwards, R. J. Elsey, R. J. S. Greenhalgh, B. F. Schutz, D. Nicholson, J. R. Shuttleworth, J. Ehlers, P. Kafka, G. Schäfer, H. Braun, V. Kose, The Geo-Project. A Long-Baseline Laser Interferometer for the Detection of Gravitational Waves WE-Heraeus-Seminar, 81th. ,vol. 410, pp. 184- 209 ,(1992) , 10.1007/3-540-56180-3_9
Laurent Schwartz, Théorie des distributions ,(1966)