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The paper deals with some aspects for Entropy Conservation for Dynamical Blackholes, from the abstract :An effective gravitational-radiation energy tensor is obtained, providing measures of both ingoing and outgoing, transverse and longitudinal gravitational radiation on and near a black hole. Corresponding energy-tensor forms of the first law involve a preferred time vector which plays the role for dynamical black holes which the stationary Killing vector plays for stationary black holes.

There are a number of top notch theorists producing some heavyweight papers recently, this is really great.