Article: Hamiltonian formulation of general relativity and post-Newtonian dynamics of compact binaries.
Living reviews in relativity
2018 Volume 21, Issue 1, Page(s) 7
Abstract: Hamiltonian formalisms provide powerful tools for the computation of approximate analytic solutions of the Einstein field equations. The post-Newtonian computations of the explicit analytic dynamics and motion of compact binaries are discussed within the ...
Abstract | Hamiltonian formalisms provide powerful tools for the computation of approximate analytic solutions of the Einstein field equations. The post-Newtonian computations of the explicit analytic dynamics and motion of compact binaries are discussed within the most often applied Arnowitt-Deser-Misner formalism. The obtention of autonomous Hamiltonians is achieved by the transition to Routhians. Order reduction of higher derivative Hamiltonians results in standard Hamiltonians. Tetrad representation of general relativity is introduced for the tackling of compact binaries with spinning components. Configurations are treated where the absolute values of the spin vectors can be considered constant. Compact objects are modeled by use of Dirac delta functions and their derivatives. Consistency is achieved through transition to |
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Language | English |
Publishing date | 2018-08-31 |
Publishing country | Switzerland |
Document type | Journal Article ; Review |
ISSN | 1433-8351 |
ISSN | 1433-8351 |
DOI | 10.1007/s41114-018-0016-5 |
Database | MEDical Literature Analysis and Retrieval System OnLINE |
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