Abstract
Strong field point particle limit is developed in order to take into account strong internal gravity in the post-Newtonian approximation. The concept is also applicable to the motion of a fast moving particle. We give an introduction of the concept and show the application to the equation of motion.
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References
A. Einstein, L. Infeld, B. Hoffmann, Annals. Math. 39, 65 (1938)
S. Chandrasekhar, F.P. Esposito, Astrophys. J. 160, 153 (1970)
V. Fock, The Theory of Space Time and Gravitation (Pergamon, Oxford, 1959)
L.D. Landau, E.M. Lifshitz, The Classical Theory of Fields (Pergamon, Oxford, 1962)
L. Blanchet, T. Damour, Phys. Rev. D 37, 1410 (1988)
L.P. Grishchuk, S.M. Kopejkin, Sov. Astron. Lett. 9, 230 (1983)
A.G. Wiseman, C.M. Will, Phys. Rev. D 44, 2945 (1991)
M. Walker, C.M. Will, Phys. Rev. Lett. 45, 1751 (1980)
C. Königsdörffer, G. Faye, G. Schäfer, Phys. Rev. D 68, 044004 (2003)
S. Nissanke, L. Blanchet, Class. Quantum Gravity 22, 1007 (2005)
Y. Itoh, Phys. Rev. D 80, 124003 (2009)
T. Damour, P. Jaranowski, G. Schäfer, Phys. Rev. D 63, 044021 (2001)
L. Blanchet. Living Rev. Relativ, 5(3) (2002)
L. Blanchet, T. Damour, G. Esposito-Farese, Phys. Rev. D 69, 124007 (2004)
T. Futamase, Phys. Rev. D 36, 321 (1987)
T. Futamase and Y. Itoh. Living Rev. Relativity, 10(2) (2007)
T. Mino, M. Sasaki, T. Tanaka, Phys. Rev. D 55, 3457 (1997)
T. Quinn, B. Wald, Phys. Rev. D 56, 3381 (1997)
S. Fukumoto, T. Futamase, Y. Itoh, Prog. Theor. Phys. 116, 423 (2006)
E. Poisson. Living Rev. Relativity, 7(6) (2004)
A. Pound, Phys. Rev. D 81, 024023 (2010)
L. Barack, A. Ori, Phys. Rev. D 61, 061502(R) (2000)
L. Barack, A. Ori, Phys. Rev. D 67, 024029 (2003)
L. Barack, N. Sago, Phys. Rev. D 75, 064021 (2007)
A. Pound, C. Merlin, L. Barack, Phys. Rev. D 89, 024009 (2014)
N. Warburton, S. Akcay, L. Barack, J.R. Gair, N. Sago, Phys. Rev. D 85, 061501(R) (2012)
T. Damour, Phys. Rev. D 81, 024017 (2010)
T. Futamase, B.F. Schutz, Phys. Rev. D 28, 2363 (1983)
Y. Itoh, T. Futamase, H. Asada, Phys. Rev. D 63, 064038 (2001)
P. Jaranowski, G. Schäfer, Phys. Rev. D 55, 4712 (1997)
P. Jaranowski, G. Schäfer, Phys. Rev. D 60, 124003 (1999)
Y. Itoh, Phys. Rev. D 69, 064018 (2004)
B.S. DeWitt, R.W. Brehme, Ann. Phys. 9, 220 (1960)
Acknowledgments
This review is based on my talk at 524th WE Heraeus seminar on the “Equations of Motion in Relativistic Gravity” I would like to thank Dirk Puetzfeld for giving me a chance to contribute in the seminar. I would also thank Yousuke Itoh for fruitful collaborations and useful discussions. I apologize not to cite and mention many relevant works on the subject of equation of motion, and strongly recommend reader to read the review articles such as Living Reviews. This work is supported by a Grant-in-Aid for Scientific Research from JSPS (Nos. 18072001, 20540245).
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Futamase, T. (2015). On the Strong Field Point Particle Limit and Equation of Motion in General Relativity. In: Puetzfeld, D., Lämmerzahl, C., Schutz, B. (eds) Equations of Motion in Relativistic Gravity. Fundamental Theories of Physics, vol 179. Springer, Cham. https://doi.org/10.1007/978-3-319-18335-0_11
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DOI: https://doi.org/10.1007/978-3-319-18335-0_11
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