Concept
Mathematics of general relativity
Related publications (16)
Numerical simulations with a first-order BSSN formulation of Einstein's field equations
We present a new fully first-order strongly hyperbolic representation of the Baumgarte-Shapiro-Shibata-Nakamura formulation of Einstein's equations with optional constraint damping terms. We describe the characteristic fields of the system, discuss its hyp ...
AMER PHYSICAL SOC2012Geodesic Patterns
Geodesic curves in surfaces are not only minimizers of distance, but they are also the curves of zero geodesic (sideways) curvature. It turns out that this property makes patterns of geodesics the basic geometric entity when dealing with the cladding of a ...
Association for Computing Machinery2010Metastable supersymmetry breaking in N=2 non-linear sigma-models
Claudio Scrucca, Jean-Claude Jacot
We perform a general study of the issue of metastability for supersymmetry-breaking vacua in theories with N=1 and N=2 global supersymmetry. This problem turns out to capture all the important qualitative features of the corresponding question in theories ...
Elsevier2010Geodesic flows on semidirect-product Lie groups: geometry of singular measure-valued solutions
The EPDiff equation (or dispersionless Camassa-Holm equation in 1D) is a well known example of geodesic motion on the Diff group of smooth invertible maps (diffeomorphisms). Its recent two-component extension governs geodesic motion on the semidirect produ ...
2009Which Distributed Averaging Algorithm Should I Choose for my Sensor Network?
Martin Vetterli, Patrick Thiran, Florence Bénézit, Patrick Denantes
Average consensus and gossip algorithms have recently received significant attention, mainly because they constitute simple and robust algorithms for distributed information processing over networks. Inspired by heat diffusion, they compute the average of ...
Institute of Electrical and Electronics Engineers2008On the decoupling of heavy modes in Kaluza-Klein theories
In this paper we examine the 4-dimensional effective theory for the light Kaluza-Klein (KK) modes. Our main interest is in the interaction terms. We point out that the contribution of the heavy KK modes is generally needed in order to reproduce the correct ...
2006