An informal introduction to some new geometric partial differential equations motivated by
string theories is provided. Some of these equations are also interesting from the point of …

A bstract We demonstrate that five-dimensional, asymptotically flat, stationary and bi-
axisymmetric, vacuum black holes with lens space L (n, 1) topology, possessing the simplest …

We consider five-dimensional electrostatic solutions to Einstein–Maxwell gravity with two
commuting spacelike Killing fields. Taking two distinct reductions from five dimensions to a …

Extending recent work in 5 dimensions, we prove the existence and uniqueness of solutions
to the reduced Einstein equations for vacuum black holes in (n+ 3)-dimensional spacetimes …

A bstract Extreme near-horizon geometries in D= 11 supergravity preserving four
supersymmetries are classified. It is shown that the Killing spinors fall into three possible …

We prove positive mass theorem with angular momentum and charges for axially symmetric,
simply connected, maximal, complete initial data sets with two ends, one designated …

In this thesis we look at the problem of nding and classifying stationary and biaxisymmetric
solutions in ve-dimensional theories of gravity, using particular hidden symmetries. We …

In recent works a method was developed which uses harmonic maps to construct stationary
asymptotically flat solutions to the (4+ 1)-dimensional vacuum Einstein equations with …