Zobrazeno 1 - 10
of 65
pro vyhledávání: '"Robert Beig"'
Autor:
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 introduction to the field of relativistic elasticity for readers with a go
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bee29d0da391cea899cd342d8baaf543
http://arxiv.org/abs/2303.05870
http://arxiv.org/abs/2303.05870
Autor:
Robert Beig, Bernd G. Schmidt
Publikováno v:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
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 standard equilibrium theory, starting with Archimedes, allows bodies
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3a7f7d1fb4c3d5dbe2b2facacdb02b9d
Autor:
Piotr T. Chruściel, Robert Beig
We show how to parameterise solutions of the general relativistic vector constraint equation on Einstein manifolds by unconstrained potentials. We provide a similar construction for the trace-free part of tensors satisfying the linearised scalar cons
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c191b07cb229ae214de09bc0b15850b7
http://arxiv.org/abs/2002.01174
http://arxiv.org/abs/2002.01174
Autor:
Piotr T. Chruściel, Robert Beig
We present an elementary argument that one can shield linearised gravitational fields using linearised gravitational fields. This is done by using third-order potentials for the metric, which avoids the need to solve singular equations in shielding o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e2ac8075fc1d0fa69277b012ae1f8ac
Publikováno v:
Classical and Quantum Gravity. 36:215017
We construct compact initial data of constant mean curvature $\widetilde{K}$ for Einstein's 4d vacuum equations with $\widehat{\Lambda} = \Lambda - (\widetilde{K}^2/3)$ positive, where $\Lambda$ is the cosmological constant, via the conformal method.
Publikováno v:
Classical and Quantum Gravity. 35:244001
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 derive an equation for the dependence of the wave vector upon the vertical
Autor:
Robert Beig
Publikováno v:
Complex Analysis and Dynamical Systems IV. :47-53
Autor:
Robert Beig, J. Mark Heinzle
Publikováno v:
American Journal of Physics. 76:663-670
We investigate the effects of the aberration of light for a uniformly accelerating observer. The observer we consider is initially at rest with respect to a luminous spherical object--a star, say--and then starts to move away with constant accelerati
Publikováno v:
Communications on Pure and Applied Mathematics
We prove that given a stress-free elastic body there exists, for sufficiently small values of the gravitational constant, a unique static solution of the Einstein equations coupled to the equations of relativistic elasticity. The solution constructed
Autor:
Michael Wernig-Pichler, Robert Beig
Publikováno v:
Communications in Mathematical Physics. 271:455-465
We study the problem of motion of a relativistic, ideal elastic solid with free surface boundary by casting the equations in material form ("Lagrangian coordinates"). By applying a basic theorem due to Koch, we prove short-time existence and uniquene