A minimal no-radiation approximation to Einstein's field equations

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dc.creatorSchäfer, Gerhard
dc.creatorGopakumar, Achamveedu
dc.date2003-10-07
dc.date.accessioned2026-07-07T11:42:55Z
dc.date.available2026-07-07T11:42:55Z
dc.descriptionAn approximation to Einstein's field equations in Arnowitt-Deser-Misner (ADM) canonical formalism is presented which corresponds to the magneto-hydrodynamics (MHD) approximation in electrodynamics. It results in coupled elliptic equations which represent the maximum of elliptic-type structure of Einstein's theory and naturally generalizes previous conformal-flat truncations of the theory. The Hamiltonian, in this approximation, is identical with the non-dissipative part of the Einsteinian one through the third post-Newtonian order. The proposed scheme, where stationary spacetimes are exactly reproduced, should be useful to construct {\em realistic} initial data for general relativistic simulations as well as to model astrophysical scenarios, where gravitational radiation reaction can be neglected.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/gr-qc/0310041
dc.identifierhttp://arxiv.org/abs/gr-qc/0310041
dc.identifierPhys.Rev.D69:021501,2004
dc.identifierdoi:10.1103/PhysRevD.69.021501
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201056
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleA minimal no-radiation approximation to Einstein's field equations
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