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Equivalence between the ADM-Hamiltonian and the harmonic-coordinates approaches to the third post-Newtonian dynamics of compact binaries

机译：ADM-Hamiltonian方法与三次坐标的三次元牛顿动力学三次谐波坐标方法的等价关系

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The third post-Newtonian approximation to the general relativistic dynamics of two point-mass systems has been recently derived by two independent groups, using different approaches, and different coordinate systems. By explicitly exhibiting the map between the variables used in the two approaches we prove their physical equivalence. Our map allows one to transfer all the known results of the Arnowitt-Deser-Misner (ADM) approach to the harmonic-coordinates one: in particular, it gives the value of the harmonic-coordinates Lagrangian, and the expression of the ten conserved quantities associated to global Poincar\'e invariance.

机译：最近，由两个独立的小组使用不同的方法和不同的坐标系，得出了两个点质量系统的广义相对论动力学的第三次牛顿后近似。通过明确展示两种方法中使用的变量之间的映射，我们证明了它们的物理等效性。我们的地图允许将Arnowitt-Deser-Misner（ADM）方法的所有已知结果转换为一个谐波坐标：特别是，它给出了谐波坐标拉格朗日的值以及十个守恒量的表达式与全局庞加莱不变性相关。

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Damour, Thibault Marie Alban Guillaume; Jaranowski, P; Schäfer, G;
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年度 2001
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正文语种 eng
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专利

1. Third post-Newtonian dynamics of compact binaries: Noetherian conserved quantities and equivalence between the harmonic-coordinate and ADM-Hamiltonian formalisms [J] . de Andrade VC., Faye G., Blanchet L. Classical and Quantum Gravity: An Interantional Journal of Gravity Geometry of Field Theories Supergravity Cosmology . 2001,第5期

机译：紧致二进制数的第三后牛顿动力学：Noetherian守恒量和调和坐标与ADM-Hamiltonian形式主义之间的等价关系
2. Hamiltonian formulation of general relativity and post-Newtonian dynamics of compact binaries [J] . Gerhard Sch?¤fer, Piotr Jaranowski Living Reviews in Relativity . 2018,第1期

机译：广义相对论的哈密顿公式和紧致二元的牛顿后动力学
3. Second post-Newtonian Lagrangian dynamics of spinning compact binaries [J] . Li?Huang, Xin?Wu, DaZhu?Ma European physical journal . 2016,第9期

机译：旋转紧密二进制的第二个牛顿后拉格朗日动力学
4. On the comparison of results regarding the post-Newtonian approximate treatment of the dynamics of extended spinning compact binaries [C] . S Hergt, J Steinhoff, G Sch?fer International Conference on Gravitation and Cosmology . 2014

机译：关于延长纺纱紧凑型二进制延长纺纱动力学近似治疗的结果的比较
5. The Equations of Motion of the Post-Newtonian Compact Binary Inspirals as Gravitational Radiation Sources Under the Effective Field Theory Formalism [D] . Yang, Zixin. 2020

机译：在有效场理论形式主义下，牛顿紧凑型小型二元鼓舞人员的动作方程作为引力辐射源
6. Hamiltonian formulation of general relativity and post-Newtonian dynamics of compact binaries [O] . Gerhard Schäfer, Piotr Jaranowski -1

机译：广义相对论的哈密顿公式和紧致二元的牛顿后动力学
7. Equivalence between the ADM-Hamiltonian and the harmonic-coordinates approaches to the third post-Newtonian dynamics of compact binaries [O] . Damour, Thibault, Jaranowski, Piotr, Schäfer, Gerhard 2002

机译：aDm-哈密顿量与谐波坐标之间的等价性关于紧凑二进制的第三次后牛顿动力学的方法
8. Eqivalence Between the ADM-Hamiltonian and the Harmonic-Coordinates Approaches tothe Third Post-Newtonian Dynamics of Compact Binaries [R] . Damour, T., Jaranowski, P., Schaefer, G. 2000

机译：aDm-哈密顿量与调和坐标方法之间的等价性对紧致二元的第三次后牛顿动力学的影响

Equivalence between the ADM-Hamiltonian and the harmonic-coordinates approaches to the third post-Newtonian dynamics of compact binaries

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