Ponente
Descripción
The RG-2 flow is the two-loop approximation for the world-sheet non
linear sigma model renormalization group flow. The first truncation of
the flow is the well known Ricci flow, at two loops higher order
curvature terms appear, changing almost completely the behaviour of
the evolution equation. In this talk we study the RG-2 flow in the
context of general relativity. Considering a time symmetric foliation
of an asymptotically flat spacetime we show that the area A of a
closed two dimensional surface S is monotonous under the RG-2 flow,
refining and extending the previous results already known for the
Ricci flow, we also discuss about the possibility of extending the
result to all loops. We show that the inequality relating the area of
the surface S and the Hawking mass already found for the Ricci flow is
still satisfied when we make evolve the area under the new flow.
