"Peeling property" for linearized gravity in null coordinates

Details "Peeling property" for linearized gravity in null coordinates "Peeling property" for linearized gravity in null coordinates

2001-11-09

arxiv.org/abs/gr-qc/0111030v1

Class.Quant.Grav. 19 (2002) 2463-2490

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

27 pages

Scientific paper

10.1088/0264-9381/19/9/310

A complete description of the linearized gravitational field on a flat background is given in terms of gauge-independent quasilocal quantities. This is an extension of the results from gr-qc/9801068. Asymptotic spherical quasilocal parameterization of the Weyl field and its relation with Einstein equations is presented. The field equations are equivalent to the wave equation. A generalization for Schwarzschild background is developed and the axial part of gravitational field is fully analyzed. In the case of axial degree of freedom for linearized gravitational field the corresponding generalization of the d'Alembert operator is a Regge-Wheeler equation. Finally, the asymptotics at null infinity is investigated and strong peeling property for axial waves is proved.

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