Conservation laws and gravity

by Prof. Sinya Aoki (Kyoto U.)

Thursday 6 Feb 2025, 16:00 → 17:30 Asia/Seoul

Room 1423 (KIAS)

Title: Conservation laws and gravity

Speaker: Prof. Sinya Aoki (Kyoto U.)

Abstract: In this talk, I discuss conservation laws in a presence of gravity including general relativity.
After an introduction, contents of my talk are
I. Energy non-conservation in general relativity
   I-1. Why is energy conserved ?
   I-2. Energy non-conservation in general relativity: Expansing Universe
   I-3. Cases for energy conservation in a curved spacetime
II. Gravitational fields carry energy ? Noether’s 2nd theorem and general relativity
   II-1.Energy of gravitational field ?
   II-2. Noether’s 2nd theorem
   II-3. Noether’s 2nd theorem in general relativity
III. Conserved charge in curved spacetime (including GR)
   III-1. Proposal for a conserved charge
   III-2. Perfect fluid and Stefan-Boltzmann law
   III-3. A simple model of expanding Universe (scalar+radiation)
IV. Summary
Questions and comments during the talk are very welcome.

KIAS20250206.pdf