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The Global Nonlinear Stability of Minkowski Space for the Massless Einstein-Vlasov System. [PDF]
Ann PDE, 2017 Minkowski space is shown to be globally stable as a solution to the Einstein–Vlasov system in the case when all particles have zero mass. The proof proceeds by showing that the matter must be supported in the “wave zone”, and then proving a small data ...
Taylor M.
europepmc +5 more sources
Quark propagator in Minkowski space [PDF]
Few-Body Systems, 2019 The analytic structure of the quark propagator in Minkowski space is more complex than in Euclidean space due to the possible existence of poles and branch cuts at timelike momenta.
Costa, C. S. R. +3 more
core +6 more sources
Global Stability of Minkowski Space for the Einstein-Vlasov System in the Harmonic Gauge. [PDF]
Arch Ration Mech Anal, 2020 Minkowski space is shown to be globally stable as a solution to the massive Einstein–Vlasov system. The proof is based on a harmonic gauge in which the equations reduce to a system of quasilinear wave equations for the metric, satisfying the weak null ...
Lindblad H, Taylor M.
europepmc +3 more sources
Some New Algebraic and Topological Properties of the Minkowski Inverse in the Minkowski Space [PDF]
The Scientific World Journal, 2013 We introduce some new algebraic and topological properties of the Minkowski inverse A⊕ of an arbitrary matrix A∈Mm,n (including singular and rectangular) in a Minkowski space μ.
Hanifa Zekraoui +2 more
doaj +2 more sources
Geometric analysis of non-degenerate shifted-knots Bézier surfaces in Minkowski space. [PDF]
PLoS ONEIn this paper, we investigate the properties of timelike and spacelike shifted-knots Bézier surfaces in Minkowski space-[Formula: see text]. These surfaces are commonly used in mathematical models for surface formation in computer science for computer ...
Sadia Bashir, Daud Ahmad
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Inflation from Minkowski space [PDF]
Journal of High Energy Physics, 2014 A bstractWe propose a class of scalar models that, once coupled to gravity, lead to cosmologies that smoothly and stably connect an inflationary quasi-de Sitter universe to a low, or even zero-curvature, maximally symmetric spacetime in the asymptotic ...
D. Pirtskhalava +3 more
semanticscholar +6 more sources
Metric field as emergence of Hilbert space [PDF]
Scientific ReportsFirst, we explain some ambiguities of spacetime and metric field as fundamental concepts. Then, from the Unruh effect point of view and using the Gelfand–Naimark–Segal construction, we construct an operator as a quanta of acceleration that we call ...
Maysam Yousefian, Mehrdad Farhoudi
doaj +2 more sources
Brownian Motion in Minkowski Space [PDF]
Entropy, 2015 We construct a model of Brownian motion in Minkowski space. There are two aspects of the problem. The first is to define a sequence of stopping times associated with the Brownian “kicks” or impulses.
Paul O'Hara, Lamberto Rondoni
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The equivariant Minkowski problem in Minkowski space [PDF]
Annales de l'Institut Fourier, 2014 The classical Minkowski problem in Minkowski space asks, for a positive function $\phi$ on $\mathbb{H}^d$, for a convex set $K$ in Minkowski space with $C^2$ space-like boundary $S$, such that $\phi(\eta)^{-1}$ is the Gauss--Kronecker curvature at the ...
F. Bonsante, Franccois Fillastre
semanticscholar +8 more sources
Hyperbolic vacua in Minkowski space
Journal of High Energy PhysicsFamilies of Lorentz, but not Poincare, invariant vacua are constructed for a massless scalar field in 4D Minkowski space. These are generalizations of the Rindler vacuum with a larger symmetry group. Explicit expressions are given as squeezed excitations
Walker Melton +3 more
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