Zobrazeno 1 - 10
of 79
pro vyhledávání: '"Rinne, Oliver"'
Autor:
Lindblom, Lee, Rinne, Oliver
Publikováno v:
Journal of Computational Physics, 496, 112579 (2024)
Methods were developed in Ref. [1] for constructing reference metrics (and from them differentiable structures) on three-dimensional manifolds with topologies specified by suitable triangulations. This note generalizes those methods by expanding the
Externí odkaz:
http://arxiv.org/abs/2401.01276
A method is developed here for building differentiable three-dimensional manifolds on multicube structures. This method constructs a sequence of reference metrics that determine differentiable structures on the cubic regions that serve as non-overlap
Externí odkaz:
http://arxiv.org/abs/2107.04945
We numerically investigate the dynamics near black hole formation of solutions to the Einstein--Vlasov system in axisymmetry. Our results are obtained using a particle-in-cell and finite difference code based on the $(2+1)+1$ formulation of the Einst
Externí odkaz:
http://arxiv.org/abs/2010.15771
Autor:
Rinne, Oliver
Publikováno v:
General Relativity and Gravitation 52:117 (2020)
We develop a numerical method suitable for gravitational collapse based on Cauchy evolution with an ingoing characteristic boundary. Unlike similar methods proposed recently (Ripley; Bieri, Garfinkle & Yau 2019/20), the numerical grid remains fixed d
Externí odkaz:
http://arxiv.org/abs/2008.12726
Publikováno v:
Pure and Applied Mathematics Quarterly 15(2), 611-666 (2019)
We investigate Bartnik's static metric extension conjecture under the additional assumption of axisymmetry of both the given Bartnik data and the desired static extensions. To do so, we suggest a geometric flow approach, coupled to the Weyl-Papapetro
Externí odkaz:
http://arxiv.org/abs/1904.11040
Autor:
Maliborski, Maciej, Rinne, Oliver
Publikováno v:
Phys. Rev. D 97, 044053 (2018)
We study critical behavior in gravitational collapse of a general spherically symmetric Yang-Mills field coupled to the Einstein equations. Unlike the magnetic ansatz used in previous numerical work, the general Yang-Mills connection has two degrees
Externí odkaz:
http://arxiv.org/abs/1712.04458
Publikováno v:
In Journal of Computational Physics 1 July 2022 460
Autor:
Baake, Olaf, Rinne, Oliver
Publikováno v:
Phys. Rev. D 94, 124016 (2016)
We consider the Einstein-Maxwell-Klein-Gordon equations for a spherically symmetric scalar field scattering off a Reissner-Nordstr\"om black hole in asymptotically flat spacetime. The equations are solved numerically using a hyperboloidal evolution s
Externí odkaz:
http://arxiv.org/abs/1610.08352
Autor:
Doulis, Georgios, Rinne, Oliver
We construct numerically time-symmetric initial data that are Schwarzschildean at spatial infinity and Brill-Lindquist in the interior. The transition between these two data sets takes place along a finite gluing region equipped with an axisymmetric
Externí odkaz:
http://arxiv.org/abs/1412.4590