Newton-Cartan gravity revisited

In this research Newton's old theory of gravity is rederived using an algebraic approach known as the gauging procedure. The resulting theory is Newton's theory in the mathematical language of Einstein's General Relativity theory, in which gravity is spacetime curvature.

The gauging procedure sheds new light on Newton's theory en makes extensions of the theory easier to obtain. These extensions are stringy applications and an extension with a symmetry we hope to find in the LHC: supersymmetry. These extensions can be used for the so-called holographic principle, in which a theory of quantum gravity is described by a quantum field theory in one spatial dimension less.

Dissertation: http://hdl.handle.net/11370/fb063f36-42dc-4529-a070-9c801238689a