Energy in Gravitation and Noether's Theorems

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.

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

References in corpus (1)

• New Energy Definition for Higher Curvature Gravities

Cited by in corpus (7)

• Hamilton's equations in the covariant teleparallel equivalent of general relativity
• Localizing Energy in Fierz-Lanczos theory
• Gauge-invariant quadratic approximation of quasi-local mass and its relation with Hamiltonian for gravitational field
• Off-shell Noether currents and potentials for first-order general relativity
• General Relativity's energy and positivity -- a brief history
• The ADM version of GR at Sixty: a brief account for historians
• A Passion for Theoretical Physics: a special issue in memory of Peter G. O. Freund