9 citations · 37 across the 10 of their papers we have counts for
11 papers · 1 filter
Maximality and Cauchy developments of Lorentzian length spaces
Olaf Müller
This article suggests the definition of "Lorentzian space" weakening the notion of Lorentzian length spaces just as much that it allows for a functor from the category of strongly…
Functors in Lorentzian geometry -- three variations on a theme
Olaf Müller
We review three examples of functors from Lorentzian categories and their applications in finiteness results, singularity theorems and boundary constructions. The third example is…
Bartnik's splitting conjecture with the null energy condition
Olaf Müller
Bartnik's splitting conjecture is one of the prime open conjectures in mathematical relativity. There are many approaches to this conjecture that use (Lorentzian) conformal geometr…
Topologies on the future causal completion
Olaf Müller
On the Geroch-Kronheimer-Penrose future completion of a spacetime , there are two frequently used topologies. We systematically examine , the stronger (metrizable)…
A Universal Spinor Bundle and the Einstein-Dirac-Maxwell Equation as a Variational Theory
Olaf Müller, Nikolai Nowaczyk
Not only the Dirac operator, but also the spinor bundle of a pseudo-Riemannian manifold depends on the underlying metric. This leads to technical difficulties in the study of probl…
Compact Lorentzian holonomy
Manuel Gutiérrez, Olaf Müller
We consider (compact or noncompact) Lorentzian manifolds whose holonomy group has compact closure. Among other results, we obtain that this property is equivalent to admitting a pa…
Which spacetimes admit conformal compactifications?
Olaf Müller
We consider the future causal boundary as a tool to find obstructions to conformal extensions, the latter being a slight generalization to conformal compactifications.
Every conformal class contains a metric of bounded geometry
Olaf Müller, Marc Nardmann
We show that on every manifold, every conformal class of semi-Riemannian metrics contains a metric such that each -th-order covariant derivative of the Riemann tensor of …
Asymptotic flexibility of globally hyperbolic manifolds
Olaf Müller
In this short note, a question of patching together globally hyperbolic manifolds is adressed which appeared in the context of the construction of Hadamard states.
Codazzi spinors and globally hyperbolic manifolds with special holonomy
Helga Baum, Olaf Müller
In this paper we examine the structure of Riemannian manifolds with a special kind of Codazzi tensors. We use them to construct globally hyperbolic Lorentzian manifolds with comple…
An Invitation to Lorentzian Geometry
Olaf Müller, Miguel Sánchez
The intention of this article is to give a flavour of some global problems in General Relativity. We cover a variety of topics, some of them related to the fundamental concept of '…