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Abstract: We present a new expression for the Weyl scalar Psi 4 that can be used innumerical relativity to extract the gravitational wave content of a spacetime.The formula relies upon the identification of transverse tetrads, namely theones in which Psi 1=Psi 3=0. It is well known that tetrads with this propertyalways exist in a general Petrov type I spacetime. A sub-class of these tetradsnaturally converges to the Kinnersley tetrad in the limit of Petrov type Dspacetime. However, the transverse condition fixes only four of the sixparameters coming from the Lorentz group of transformations applied to tetrads.Here we fix the tetrad completely, in particular by giving the expression forthe spin-boost transformation that was still unclear. The value of Psi 4 inthis optimal tetrad is given as a function of the two curvature invariants Iand J.



Author: Andrea Nerozzi, Oliver Elbracht

Source: https://arxiv.org/







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