If energy is "not conserved" in General Relativity (or at least, it is difficult to define it) in the context of an expanding accelerating spacetime (like it happens in our Universe), are there any observations of deviations from the strict conservation laws in the evolution and formation of large scale structures (like clusters or superclusters of galaxies for instance)?
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Perhaps someone will add in a more interesting answer later on, but I'd say cosmological redshift is an example. You have a beam of light losing energy to the Universe's expansion, and hence turning more red. I've done some calculations exemplifying how this means non-conservation of energy in this post, but for simplicity I worked with a closed universe that recollapses, as it allows a somewhat more natural definition of energy.
Níck Aguiar Alves
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