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Introduction to dynamical horizons in numerical relativity
This paper presents a quasilocal method of studying the physics of dynamical black holes in numerical simulations. This is done within the dynamical horizon framework, which extends the earlier workExpand
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Quasilinear Hyperbolic Fuchsian Systems and AVTD Behavior in T2-Symmetric Vacuum Spacetimes
We set up the singular initial value problem for quasilinear hyperbolic Fuchsian systems of first order and establish an existence and uniqueness theory for this problem with smooth data and smoothExpand
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Lachnotalea glycerini gen. nov., sp. nov., an anaerobe isolated from a nanofiltration unit treating anoxic groundwater.
A strictly anaerobic bacterium, strain DLD10T, was isolated from a biofilm that developed on a nanofiltration membrane treating anoxic groundwater using glycerol as substrate. Cells were straight toExpand
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Numerical solutions of Einstein's equations for cosmological spacetimes with spatial topology S 3 and symmetry group U(1)
We apply a single patch pseudo-spectral scheme based on integer spin-weighted spherical harmonics presented in [1, 2] to Einstein’s equations. The particular hyperbolic reduction of Einstein’sExpand
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Numerical space-times near space-like and null infinity. The spin-2 system on Minkowski space
In this paper we demonstrate for the first time that it is possible to solve numerically the Cauchy problem for the linearisation of the general conformal field equations near spacelike infinity,Expand
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The Spin-2 Equation on Minkowski Background
The linearised general conformal field equations in their first and second order form are used to study the behaviour of the spin-2 zero-rest-mass equation on Minkowski background in the vicinity ofExpand
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Investigations of solutions of Einstein's field equations close to λ-Taub–NUT
We present investigations of a class of solutions of Einstein's field equations close to the family of λ-Taub–NUT spacetimes. The studies are done using a numerical code introduced by the authorExpand
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Non-genericity of the Nariai solutions: II. Investigations within the Gowdy class
This is the second of two papers in which we study the asymptotics of the generalized Nariai solutions and its relation to the cosmic no-hair conjecture. In the first paper, the author suggestedExpand
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Second-order hyperbolic Fuchsian systems and applications
We introduce a new class of singular partial differential equations, referred to as the second-order hyperbolic Fuchsian systems, and we investigate the associated initial value problem when data areExpand
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Smooth Gowdy-symmetric generalized Taub–NUT solutions
We study a class of -Gowdy vacuum models with a regular past Cauchy horizon which we call smooth Gowdy-symmetric generalized Taub–NUT solutions. In particular, we prove the existence of suchExpand
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