English

Energy in Gravitation and Noether's Theorems

General Relativity and Quantum Cosmology 2019-09-02 v2 High Energy Physics - Theory History and Philosophy of Physics

Abstract

I exhibit the conflicting roles of Noether's two great theorems in defining conserved quantities, especially Energy in General Relativity and its extensions: It is the breaking of coordinate invariance through boundary conditions that removes the barrier her second theorem otherwise poses to the applicability of her first. There is nothing new here, except the emphasis that General must be broken down to Special Relativity in a special, but physically natural, way in order for the Poincare or other global groups such as (A)dS to "re-"emerge.

Keywords

Cite

@article{arxiv.1902.05105,
  title  = {Energy in Gravitation and Noether's Theorems},
  author = {S. Deser},
  journal= {arXiv preprint arXiv:1902.05105},
  year   = {2019}
}

Comments

Dedicated to the memory of Peter Freund, friend and brilliant colleague for over five decades. Published version

R2 v1 2026-06-23T07:40:22.002Z