7,217 research outputs found
Generalised hyperbolicity in spacetimes with string-like singularities
In this paper we present well-posedness results of the wave equation in
for spacetimes that contain string-like singularities. These results
extend a framework able to characterise gravitational singularities as
obstruction to the dynamics of test fields rather than point particles. In
particular, we discuss spacetimes with cosmic strings and the relation of our
results to the Strong Cosmic Censorship Conjecture.Comment: Accepted for publication in Classical and Quantum Gravit
Quantised vortices and mutual friction in relativistic superfluids
We consider the detailed dynamics of an array of quantised superfluid
vortices in the framework of general relativity, as required for quantitative
modelling of realistic neutron star cores. Our model builds on the variational
approach to relativistic (multi-) fluid dynamics, where the vorticity plays a
central role. The description provides a natural extension of, and as it
happens a better insight into, existing Newtonian models. In particular, we
account for the mutual friction associated with scattering of a second "normal"
component in the mixture off of the superfluid vortices.Comment: 9 pages, RevTe
Hawking's singularity theorem for -metrics
We provide a detailed proof of Hawking's singularity theorem in the
regularity class , i.e., for spacetime metrics possessing locally
Lipschitz continuous first derivatives. The proof uses recent results in
-causality theory and is based on regularisation techniques adapted to
the causal structure.Comment: 19 pages, LaTeX; v2: corrected Lemma 4.2; v3: typos corrected, final
versio
Global Gronwall Estimates for Integral Curves on Riemannian Manifolds
We prove Gronwall-type estimates for the distance of integral curves of
smooth vector fields on a Riemannian manifold. Such estimates are of central
importance for all methods of solving ODEs in a verified way, i.e., with full
control of roundoff errors. Our results may therefore be seen as a prerequisite
for the generalization of such methods to the setting of Riemannian manifolds.Comment: 4 pages, 1 figure, correction of some misprint
Systematic review and meta-analysis of the sero-epidemiological association between Epstein Barr virus and multiple sclerosis
Peer reviewedPublisher PD
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