Question

Can nonconserved energy in GR be thought of as going into gravitational field energy?

Answer 1

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Can non conserve energy in GRB thot offers going to gravitational field energy??


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Yes, non Converse energy in GRB thot offer going to gravitational field energy..


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Answer 2

Transfer of energy into the gravitational field alone would hardly count as energy-non-conservation. It's pretty much the same mistake (in judgement) one makes in classical electrodynamics when neglecting radiation of charges. Now, there is the question of what happens to the energy of radiation that gets redshifted on an expanding background and the answer is simple: we don't know and it's not clear if the usual assumption that expanding background is non-conserving because of Noether's theorem is the correct approach. 

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