Lorentzian regularization and the problem of point-like particles in general relativity
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Publication:2775039
DOI10.1063/1.1384864zbMath1009.83007arXivgr-qc/0006100OpenAlexW2064581978MaRDI QIDQ2775039
Publication date: 26 February 2002
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/gr-qc/0006100
general relativityrelativistic field theorypost-Newtonian expansionsLorentzian regularizationpoint-like particles
Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Equations of motion in general relativity and gravitational theory (83C10)
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The post-Newtonian approximation for relativistic compact binaries ⋮ On a new formulation of the many-body problem in general relativity ⋮ Gravitational radiation from post-Newtonian sources and inspiralling compact binaries ⋮ Gravitational radiation from post-Newtonian sources and inspiralling compact binaries ⋮ Gravitational radiation from post-Newtonian sources and inspiralling compact binaries ⋮ The radial action from probe amplitudes to all orders
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- On the equations of motion of point-particle binaries at the third post-Newtonian order
- Regularization, pseudofunction, and Hadamard finite part
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- Third post-Newtonian dynamics of compact binaries: Noetherian conserved quantities and equivalence between the harmonic-coordinate and ADM-Hamiltonian formalisms
- Hadamard regularization
- Regularization and distributional derivatives of ( x 1 2 + x 2 2 + . . . + x p 2 ) –½ n in R p
- Hadamard’s finite part concept in dimension n ≥ 2, distributional definition, regularization forms and distributional derivatives
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