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55 papers · 2 filters
Geometric Analysis and General Relativity
Lars Andersson
This article discusses methods of geometric analysis in general relativity, with special focus on the role of "critical surfaces" such as minimal surfaces, marginal surface, maxima…
Hyperboloidal data and evolution
Sascha Husa, Carsten Schneemann, Tilman Vogel +1
We discuss the hyperboloidal evolution problem in general relativity from a numerical perspective, and present some new results. Families of initial data which are the hyperboloida…
Dynamics of the spatially homogeneous Bianchi type I Einstein-Vlasov equations
J. Mark Heinzle, Claes Uggla
We investigate the dynamics of spatially homogeneous solutions of the Einstein-Vlasov equations with Bianchi type I symmetry by using dynamical systems methods. All models are fore…
Over the Rainbow: Numerical Relativity beyond Scri+
Charles W. Misner
This is a study of the behavior of wave equations in conformally compactified spacetimes suited to the use of computational boundaries beyond Scri+. There light cones may be adjust…
Best chirplet chain: near-optimal detection of gravitational wave chirps
Eric Chassande-Mottin, Archana Pai
The list of putative sources of gravitational waves possibly detected by the ongoing worldwide network of large scale interferometers has been continuously growing in the last year…
Curvature estimates for stable marginally trapped surfaces
Lars Andersson, Jan Metzger
We derive integral and sup-estimates for the curvature of stably marginally outer trapped surfaces in a sliced space-time. The estimates bound the shear of a marginally outer trapp…