A canonical dynamics view of the Newtonian limit of general relativity
作者： Gerhard Schäfer
DOI: 10.1007/S10714-009-0824-8
关键词: Mathematics of general relativity 、 Theoretical physics 、 Introduction to the mathematics of general relativity 、 Theory of relativity 、 Classical mechanics 、 Test theories of special relativity 、 Special relativity (alternative formulations) 、 Newtonian limit 、 Doubly special relativity 、 Four-force 、 Physics 、 Physics and Astronomy (miscellaneous)
摘要: The Newtonian limit of general relativity was Jurgen Ehlers favourite model for relations between theories physics. In this contribution, the case isolated systems, will be illuminated from a canonical dynamics point view. approach naturally supplies post-Newtonian expansion relativity.
springer.com
harvard.edu
sci-hub.se 参考文章(24)
J. Ehlers, The Newtonian limit of general relativity Encyclopedia of Mathematical Physics. pp. 503- 508 ,(1991) , 10.1016/B0-12-512666-2/00056-0
Jürgen Ehlers, Über den Newtonschen Grenzwert der Einsteinschen Gravitationstheorie Bibliographisches Institut. pp. 65- 84 ,(1981)
Piotr Jaranowski, Gerhard Schäfer, Radiative 3.5 post-Newtonian ADM Hamiltonian for many-body point-mass systems Physical Review D. ,vol. 55, pp. 4712- 4722 ,(1997) , 10.1103/PHYSREVD.55.4712
L. Blanchet, T. Damour, G. Schaefer, Post-Newtonian hydrodynamics and post-Newtonian gravitational wave generation for numerical relativity Monthly Notices of the Royal Astronomical Society. ,vol. 242, pp. 289- 305 ,(1990) , 10.1093/MNRAS/242.3.289
Luc Blanchet, Gerhard Schäfer, Higher order gravitational radiation losses in binary systems Monthly Notices of the Royal Astronomical Society. ,vol. 239, pp. 845- 867 ,(1989) , 10.1093/MNRAS/239.3.845
Piotr Jaranowski, Gerhard Schäfer, Erratum: Third post-Newtonian higher order ADM Hamilton dynamics for two-body point-mass systems [Phys. Rev. D57, 7274 (1998)] Physical Review D. ,vol. 63, pp. 029902- ,(2000) , 10.1103/PHYSREVD.63.029902
Jan Steinhoff, Steven Hergt, Gerhard Schäfer, Spin-squared Hamiltonian of next-to-leading order gravitational interaction Physical Review D. ,vol. 78, pp. 101503- ,(2008) , 10.1103/PHYSREVD.78.101503
Thibault Damour, Piotr Jaranowski, Gerhard Schäfer, Poincare invariance in the ADM Hamiltonian approach to the general relativistic two-body problem Physical Review D. ,vol. 62, pp. 021501- ,(2000) , 10.1103/PHYSREVD.62.021501
Jürgen Ehlers, Examples of Newtonian limits of relativistic spacetimes Classical and Quantum Gravity. ,vol. 14, ,(1997) , 10.1088/0264-9381/14/1A/010
Tullio Regge, Claudio Teitelboim, Role of surface integrals in the Hamiltonian formulation of general relativity Annals of Physics. ,vol. 88, pp. 286- 318 ,(1974) , 10.1016/0003-4916(74)90404-7