Year: 2025
Type: preprint
Abstract: We lay down a set of requirements for a field theory to produce a covariant conservation law out of Noether's second theorem, and show that neither local invariance implies a covariant conservation law, nor the existence of a covariant conservation law necessarily stems from the local invariance of the theory. We illustrate our results with the examples of well-known theories.
Source: arXiv (Cornell University)
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Awards: G1146902738, G1648110521, G1980595318, G2225181897, G2262748287, G250804818, Para além de Lambda, G308504231, Instituto de Astrofísica e Ciências do Espaço, Applications of modified gravity in high energy astroparticle physics and cosmology, Instituto de Astrofísica e Ciências do Espaço, G3480869486, G425668148, G4526231891, G464105488, Centro de Física Teórica e Computacional da Universidade de Lisboa, G5385376234, G6520279273, G6997658380, G7084143925, G7858962851, Centro de Física Teórica e Computacional da Universidade de Lisboa, A evolução do universo como uma janela para a matéria escura e para a física de aceleradores
OpenAlex ID: W4414456965
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