Results 11 to 20 of about 4,689,305 (234)

Global Stability of Minkowski Space for the Einstein-Vlasov System in the Harmonic Gauge. [PDF]

open access: yesArch 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

The Global Nonlinear Stability of Minkowski Space for the Massless Einstein-Vlasov System. [PDF]

open access: yesAnn 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]

open access: yesThe 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]

open access: yesPLoS ONE
In 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
doaj   +2 more sources

Metric field as emergence of Hilbert space [PDF]

open access: yesScientific Reports
First, 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

An approach to energy and elastic for curves with extended Darboux frame in Minkowski space

open access: yesAIMS 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

Distributions in CFT. Part II. Minkowski space [PDF]

open access: yesJournal of High Energy Physics, 2021
CFTs in Euclidean signature satisfy well-accepted rules, such as the convergent Euclidean OPE. It is nowadays common to assume that CFT correlators exist and have various properties also in Lorentzian signature.
P. Kravchuk, Jiaxin Qiao, S. Rychkov
semanticscholar   +1 more source

Singularities for Timelike Developable Surfaces in Minkowski 3-Space

open access: yesSymmetry, 2023
In this paper, we consider the singularities and geometrical properties of timelike developable surfaces with Bishop frame in Minkowski 3-space. Taking advantage of the singularity theory, we give the classification of generic singularities of these ...
Yanlin Li   +3 more
semanticscholar   +1 more source

Black Holes have Intrinsic Scalar Curvature

open access: yesReports in Advances of Physical Sciences, 2023
The scalar curvature R is invariant under isometric symmetries (distance invariance) associated with metric spaces. Gravitational Riemannian manifolds are metric spaces.
P. D. Morley
doaj   +1 more source

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