Poincare invariance in the ADM Hamiltonian approach to the general relativistic two-body problem

Mar, 2000
7 pages
Published in:
  • Phys.Rev.D 62 (2000) 021501,
  • Phys.Rev.D 63 (2001) 029903 (erratum)
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Abstract: (arXiv)
A previously found momentum-dependent regularization ambiguity in the third post-Newtonian two point-mass Arnowitt-Deser-Misner Hamiltonian is shown to be uniquely determined by requiring global Poincar\'e invariance. The phase-space generators realizing the Poincar\'e algebra are explicitly constructed.
Note:
  • REVTeX, 7 pages; two inadvertently omitted terms in Eq. (12) are added