We review the intimate connection between (super-) gravity close to a spacelike singularity
(the “BKL-limit”) and the theory of Lorentzian Kac-Moody algebras. We show that in this limit …

We review the recent developments in obtaining accelerating cosmologies and/or inflation
from higher-dimensional gravitational theories, in particular superstring theories in ten …

In these lectures, we review the physics of time-dependent orbifolds of string theory, with
particular attention to orbifolds of three-dimensional Minkowski space. We discuss the …

We consider the geodesic motion on the symmetric moduli spaces that arise after timelike
and spacelike reductions of supergravity theories. The geodesics correspond to timelike …

A bstract In this paper we apply in a systematic way a previously developed integration
algorithm of the relevant Lax equation to the construction of spherical symmetric …

Stationary black holes of massless supergravity theories are described by certain geodesic
curves on the target space that is obtained after dimensional reduction over time. When the …

We prove that all stationary and spherical symmetric black hole solutions to theories with
symmetric target spaces are integrable and we provide an explicit integration method. This …

We identify the hyperbolic Kac Moody algebras for which there exists a Lagrangian of
gravity, dilatons, and p-forms which produces a billiard that can be identified with their …

We prove that the field equations of supergravity for purely time-dependent backgrounds,
which reduce to those of a one-dimensional sigma model, admit a Lax pair representation …

We organize the homogeneous special geometries, describing as well the couplings of D=
6, 5, 4 and 3 supergravities with eight supercharges, in a small number of universality …