BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Is energy conserved in general relativity? -- Noether’s 1st theo
rem with local symmetries
DTSTART;VALUE=DATE-TIME:20220927T103000Z
DTEND;VALUE=DATE-TIME:20220927T113000Z
DTSTAMP;VALUE=DATE-TIME:20230330T164848Z
UID:indico-event-8588@cern.ch
DESCRIPTION:To answer the question in the title is rather non-trivial. In
a flat spacetime\, as a consequence of Noether's 1st theorem\, a time tr
anslation symmetry not only defines a corresponding energy density as the
time component of the Noether current\, but also tells that a total ener
gy given by a volume integral of the energy density is conserved. This con
struction of a conserved energy does not work in general relativity\, sin
ce a time translational symmetry is a part of local symmetries\, general c
oordinate transformations\, to which Noether's first theorem can not be di
rectly applied. Recently we propose a general method to derive a conserved
current associated with a global symmetry which is a part of local symmet
ries. We apply the method to general relativity and obtain the following a
nswer to the question. “No\, the matter energy is not conserved in gener
al. However there always exist a more general conserved charge associated
with matters.” In my talk\, I will explain how this conclusion is deriv
ed.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8588
LOCATION: Zoom link : https://zoom.us/j/94195941535?pwd=RWRZU09sQWxRWEVneX
NzMVp2NFVxdz09 Meeting ID: 941 9594 1535 Passcode: 958967
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8588
END:VEVENT
END:VCALENDAR