Gauge invariant description of weak gravitational field on a spherically symmetric background

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Written by Piotr Waluk

We construct a formalism for analysis of the true degrees of freedom in the linearized Cauchy problem for the Einstein equation on a spherically symmetric vacuum background with cosmological constant. Our approach does not require an a priori splitting of the data into spherical harmonics, but is compatible with it. Some motivaton for our method and several simple applications will also be presented.