English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

During the First World War, the status of energy conservation in generalrelativity was one of the most hotly debated questions surrounding Einstein'snew theory of gravitation. His approach to this aspect of general relativitydiffered sharply from another set forth by Hilbert, even though the latterconjectured in 1916 that both theories were probably equivalent. Rather thanpursue this question himself, Hilbert chose to charge Emmy Noether with thetask of probing the mathematical foundations of these two theories. Indirectreferences to her results came out two years later when Klein began to examinethis question again with Noether's assistance. Over several months, Klein andEinstein pursued these matters in a lengthy correspondence, which culminatedwith several publications, including Noether's now famous paper "InvarianteVariationsprobleme". The present account focuses on the earlier discussionsfrom 1916 involving Einstein, Hilbert, and Noether. In these years, a Swissstudent named R.J. Humm was studying relativity in G\"ottingen, during whichtime he transcribed part of Noether's lost manuscript on Hilbert's invariantenergy vector. By making use of this 9-page manuscript, it is possible toreconstruct the arguments Noether set forth in response to Hilbert'sconjecture. Her results turn out to be closely related to the findings Kleinpublished two years later, thereby highlighting, once again, how her worksignificantly deepened contemporary understanding of the mathematicalunderpinnings of general relativity.

Emmy Noether on Energy Conservation in General Relativity