Expanding General Relativity in the speed of light

by Gerben Oling (Nordita)

Wednesday 27 Oct 2021, 13:30 → 14:30 Europe/Stockholm

Albano 3: 6228 - Mega (22 seats) (Albano Building 3)

Please note that the talk will happen AT THE USUAL TIME of 13:30 -- I apologize for the confusion.

Hybrid talk: Mega (6228, Hus 3, Albano) + https://stockholmuniversity.zoom.us/j/530682073

I will introduce the ultra-relativistic expansion of General Relativity and show that it contains non-trivial solutions already at leading order. There has been remarkable progress in the covariant description non-relativistic geometry. In particular, it was recently realized that a non-relativistic, large speed of light expansion of general relativity leads to dynamical "Newton-Cartan”-type geometry, which led for the first time to a derivation of the Poisson equation of Newtonian gravity from an action principle. In this talk, I will review some of these developments and also introduce the opposite ultra-relativistic, small speed of light expansion of General Relativity and its corresponding “Carroll” geometry. The latter expansion leads to a rich theory already at leading order, and I will discuss some of its non-trivial solutions and possible applications.