Abstract
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 [16]. 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 the Schwarzschild background is developed and the axial part of the gravitational field is fully analysed. In the case of axial degrees of freedom for the linearized gravitational field the corresponding generalization of the d'Alembert operator is a Regge–Wheeler equation. Finally, the asymptotics at null infinity are investigated and the strong peeling property for axial waves is proved.
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