Exact solutions, asymptotic structure, and quadrupole radiation

Details Exact solutions, asymptotic structure, and quadrupole radiation Exact solutions, asymptotic structure, and quadrupole radiation

Aug 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991nyasa.631..254p&link_type=abstract

(Nonlinear problems in relativity and cosmology; Proceedings of the 6th Florida Workshop in Nonlinear Astronomy, Gainesville, Oc

Astronomy and Astrophysics

Astronomy

Asymptotic Methods, Einstein Equations, Gravitational Fields, Quadrupoles, Relativity, Chandrasekhar Equation, Gravitational Waves, Power Series

Scientific paper

It is argued that problems involving exact solutions, asymptotic structure, and approximation methods should be treated as much as possible in way that unifies research in these three areas. As a concrete application of this attitude, it is shown that conditions obtained from the asymptotic flatness requirement can be used in as derivation of the quadrupole radiation formula, eliminating the need to adopt a gauge condition. A new cylindrically symmetric radiative solution of the field equations is introduced, and a plan for rigorously proving the quadrupole radiation formula is sketched.

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