112 citations · 653 across the 37 of their papers we have counts for
37 papers
Who's afraid of a negative lapse?
Robert Beig, Piotr T. Chruściel, Wan Cong
We rederive the Arnowitt-Deser-Misner equations in a framework in which the zeros of the lapse are innocuous, whether with or without changes of sign. We further develop and analys…
Relativistic Elasticity II
Robert Beig
This paper is based on a series of talks given at the ESI program on 'Mathematical Perspectives of Gravitation Beyond the Vacuum Regime' in February 2022. It is meant to be an intr…
Mechanics of floating bodies
Robert Beig, Bernd G. Schmidt
We introduce and study the mechanical system which describes the dynamics and statics of rigid bodies of constant density floating in a calm incompressible fluid. Since much of the…
On linearised vacuum constraint equations on Einstein manifolds
Robert Beig, Piotr T. Chruściel
We show how to parameterise solutions of the general relativistic vector constraint equation on Einstein manifolds by unconstrained potentials. We provide a similar construction fo…
Vacuum initial data on from Killing vectors
Robert Beig, Piotr Bizoń, Walter Simon
We construct compact initial data of constant mean curvature for Einstein's 4d vacuum equations with positive, where is the…
Weakly gravitating isotropic waveguides
Robert Beig, Piotr T. Chruściel, Christopher Hilweg +2
We analyse the effect of post-Newtonian gravitational fields on propagation of light in a cylindrical waveguide in both a straight configuration and a spool configuration. We deriv…