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 …

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 …

We review some implications of the existence of exotic smoothness (differentiable)
structures on otherwise topologically trivial spaces, such as R4 or R2× S2, for the application …

We study novel types of contributions to the entropy of the Maxwell system defined on a<?
format?> compact manifold such as a torus. These new terms are not related to the physical …

We explicitly construct all stationary, non-static, extremal near horizon geometries in D
dimensions that satisfy the vacuum Einstein equations, and that have D− 3 commuting …

We prove uniqueness and existence theorems for four-dimensional asymptotically flat, Ricci-
flat, gravitational instantons with a torus symmetry. In particular, we prove that such …

Differentiable structures play an indispensable role in the development of any model of
space-time. While it has long been known that topological, geometric, and bundle (gauge) …

The recent revolution in differential topology related to the discovery of non-standard (OC
exoticOCO) smoothness structures on topologically trivial manifolds such as R4 suggests …

We present the first examples of formally asymptotically flat black hole solutions with
horizons of general lens space topology L (p, q). These five-dimensional static or stationary …

A bstract We construct the first class of topological solitons in gravity that are supported by
internal electromagnetic flux with vanishing net charges. The solutions are obtained in a six …