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- W2145486583 abstract "AbstractA new parameterization of unconstrained degrees of freedom for gravitationalfield, used in [6], has been generalized to one-parameter family of such parameter-izations, depending on a real parameter β ∈ [0,2]. The description introduced in[6] corresponds to the special choice β = 0. The method is closely related to theproof of the positivity of the energy presented in [3] where β-foliations have beenintroduced (see also applications to black holes dynamics in [4], [6] and [7]).Spherically symmetric initial data corresponding to trivial degrees of freedomis analyzed along these lines. In particular, the quasi-local energy content of theSchwarzschild initial data is analyzed for different choices of the β-gauge. 1 Introduction We consider a compact, smooth, three-dimensional manifold V , diffeomorphic toK(0,r 0 ,r 1 ) :=(~x ∈ R 3 (r 0 ) 2 ≤X 3i=1 (x i ) 2 ≤ (r 1 ) 2 ).Denote by ∂V its boundary. Limiting cases r 0 → 0 and/or r 1 → ∞ may be alsoconsidered.Consider the spacetime “tube” M = V ×" @default.
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- W2145486583 title "Unconstrained degrees of freedom for gravitational waves, $beta$--foliations and spherically symmetric initial data" @default.
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