Gravity and holography between Newton and Einstein

OKC - Theory Working Group

Thursday 04 April 2019
from 13:15
to 14:15 at
A5:1041 (Cops seminar room)

Speaker :

Niels Obers (Nordita)

Abstract :

Newton-Cartan (NC) geometry was introduced more than 90 years ago in order
to find a geometric formulation of Newtonian gravity. This geometry
(including a novel generalisation that includes torsion) has in recent years
gained renewed interest as it appears in a variety of settings in modern
theory involving gravity, string theory and holography. After a brief
introduction, I will talk about recent work on an action principle for
non-relativistic gravity, including its Newtonian limit. This requires a new
notion of NC geometry, which naturally arises in a covariant 1/c expansion
of general relativity, with c being the speed of light. By truncating this
expansion at subleading order, we obtain the field content and
transformation rules of the fields that appear in the action of Newtonian
gravity. The equations of motion generalize Newtonian gravity by allowing
for the effect of gravitational time dilation due to strong gravitational
field. I will also discuss the relevance of non-relativistic geometry in
connection to non-relativistric string theory and holography. In particular,
I will show that non-relativistic strings and geometry appear in certain
limits of the the AdS/CFT correspondence.