• Corpus ID: 245123938

Energy in Newtonian gravity

  title={Energy in Newtonian gravity},
  author={Ingemar Bengtsson and Tobias Eklund},
In Newtonian gravity it is a moot question whether energy should be localized in the field or inside matter. An argument from relativity suggests a compromise in which the field energy is positive definite. We show that the same compromise is implied by Noether’s theorem applied to a variational principle for perfect fluids, if we assume Dirichlet boundary conditions on the potential. We then analyse a thought experiment due to Bondi and McCrea that gives a clean example of inductive energy… 
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