Null infinity from a quasi-Newtonian view

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Abstract
A scheme is elaborated which generates unique characteristic initial value data for a general relativistic fluid in terms of initial value data for a Newtonian fluid. The chief ingredient is the demand that the evolution of the general relativistic fluid yield the evolution of the Newtonian fluid as a parameter λ, corresponding to 1/c, goes to zero. The resulting gravitational null data is examined in detail to the first three nontrivial orders in λ. To this order, the data is asymptotically flat at future null infinity and appears to properly incorporate an outgoing radiation condition. The implications of these results for the calculation of gravitational radiation from quasi-Newtonian systems is discussed.

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