Hidden symmetries of Eisenhart-Duval lift metrics and the Dirac equation with flux [PDF]
Physical Review D, 2012 18 pages, no figures.
Marco Cariglia
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On some special solutions of Eisenhart equation [PDF]
Ufa Mathematical Journal, 2013 In this note we study a 6-dimensional pseudo-Riemannian space V (gij) with the signature [+ + − − −−], which admits projective motions, i.e., continuous transformation groups preserving geodesics. A general method of determining pseudo-Riemannian spaces admitting some nonhomothetic projective groupGr was developed by A.V. Aminova. A.V.
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Cosmological aspects of the Eisenhart–Duval lift
European Physical Journal C: Particles and Fields, 2018 A cosmological extension of the Eisenhart–Duval metric is constructed by incorporating a cosmic scale factor and the energy-momentum tensor into the scheme. The dynamics of the spacetime is governed by the Ermakov–Milne–Pinney equation.
M. Cariglia +3 more
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Lévy-Leblond equation and Eisenhart–Duval lift in Koopman–von Neumann mechanics
Modern Physics Letters A, 2023 The Koopman–von Neumann (KvN) mechanics is an approach that was formulated long ago to answer the question regarding the existence of a Hilbert space representation of classical mechanics. KvN mechanics is a non-relativistic theory, and it is not clear how spin can be included in it, since spin is widely regarded as a relativistic property. Cabrera et
Bikram Keshari Parida +3 more
openaire +2 more sources
Spinor wave function of the Universe in non-minimally coupled varying constants cosmologies
European Physical Journal C: Particles and Fields, 2023 In this paper, we introduce a non-minimally coupled varying speed of light and varying gravitational constant cosmological toy model. Using the Eisenhart–Duval lifting method, we extend the original minisuperspace of the model and depict the evolution of
Adam Balcerzak, Mateusz Lisaj
doaj +1 more source
On the properties of the projective Lie algebras of rigid h-spaces H32 of the type {32}
Учёные записки Казанского университета: Серия Физико-математические науки, 2020 The five-dimensional pseudo-Riemannian spaces that admit infinitesimal projective transformations were studied. A general solution of the Eisenhart equation in the h-space H32 of non-constant curvature was found.
A.V. Aminova, D.R. Khakimov
doaj +1 more source
Fermionic quantum cosmology as a framework for resolving type IV singularities
European Physical Journal C: Particles and FieldsIn this paper, we present an innovative approach to resolving type IV singularities in fermionic quantum cosmology. The Eisenhart–Duval lift procedure is employed to construct an extended minisuperspace metric, which allows for the formulation of the ...
Paweł Kucharski, Adam Balcerzak
doaj +1 more source
A New Method for Assessing Patients' Obesity-Associated Infection Risk Using X-rays in Hip Arthroplasties. [PDF]
J Clin Med, 2023 Breden S +7 more
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A novel inclusion complex of oxybenzone with C-methylresorcin[4]arene deters skin permeation. [PDF]
RSC Adv, 2023 Kang X +8 more
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Abductive statistical methods improve the results of calibration curve bioassays: An example of determining zinc bioavailability in broiler chickens. [PDF]
Anim Nutr, 2022 Pesti GM +5 more
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