Generally-covariant and \(GL(n,\mathbb{R})\)-invariant model of field of linear frames interacting with complex scalar field

DOI10.1016/0034-4877(96)87676-2zbMath0886.58117OpenAlexW2059134797MaRDI QIDQ1373540

Piotr Godlewski

Publication date: 14 May 1998

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(96)87676-2

zbMATH Keywords

electromagnetic fieldscomplex scalar fieldfield of linear frames\(\text{GL}(n,\mathbb{R})\)-invariant model

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Electromagnetic interaction; quantum electrodynamics (81V10)

Related Items (5)

Pseudo-Riemannian metric with neutral signature induced by solutions to Euler-Lagrange equations for a field of complex linear frames ⋮ Generally-covariant and \(GL(n,\mathbb{R})\)-invariant model of field of linear frames interacting with a multiplet of complex scalar fields ⋮ Solutions of Euler-Lagrange equations for self-interacting field of linear frames on product manifold of group space ⋮ Exponential solutions of Euler-Lagrange equations for fields of complex linear frames on real space-time manifolds ⋮ Exponential solutions of Euler-Lagrange equations for field of linear frames in nonlinear model of Born-Infeld type

Cites Work

• Field of linear frames as a fundamental self-interacting system
• Lie-algebraic solutions of affinely-invariant equations for the field of linear frames
• Generally-covariant and \(GL(N,\mathbb{R})\)-invariant models of self-interacting field of linear frames
• Problems with metric-teleparallel theories of gravitation
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