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 +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
The equivariant Minkowski problem in Minkowski space [PDF]
Annales de l'Institut Fourier, 2017 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 ...
Bonsante, Francesco +1 more
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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 +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
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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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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
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An approach to energy and elastic for curves with extended Darboux frame in Minkowski space
AIMS Mathematics, 2020 In this paper, we construct the energy for the ED-frame field of the first and second kind on an orientable hypersurface in Minkowski space. We obtain the geometric properties of some graphics by way of energy.
Talat Körpinar, Yasin Ünlütürk
doaj +2 more sources
Stability of Minkowski space and polyhomogeneity of the metric [PDF]
, 2020 Peter Hintz, András Vasy
openalex +2 more sources
Electromagnetic form factor via Bethe-Salpeter amplitude in Minkowski space [PDF]
, 2008 For a relativistic system of two scalar particles, we find the Bethe-Salpeter amplitude in Minkowski space and use it to compute the electromagnetic form factor.
J. Carbonell +3 more
core +6 more sources