Speaker
Description
Formulating precise definitions of conserved charges like energy-momentum and angular momentum in General Relativity is extremely challenging. Instead of entering directly into the stress-energy tensor, gravitational energy manifests as an obstruction to integrating the local stress-energy conservation law to yield globally conserved charges. A very nice quasi-local definition for mass was found by Penrose, which is applicable in a wide variety of space-times, including static space-times. In this talk I define conserved quasi-local multipole moments in static space-times, inspired by Penrose's quasi-local mass. These moments can be computed in full non-linear General Relativity on any two-surface S, where they define the multipole moments of sources enclosed by S. The definition reduces to the ordinary Newtonian definition in the weak field limit, and it is suspected that the moments reduce to the Geroch-Hansen multipole moments when computed at infinity.
