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Accepted version

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2017-09-19

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cc-by-nc-nd (c) Institute of Physics (IOP), 2017
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/125474

An Extension of Poincaré group based on generalized Fermi-Walker coordinates

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https://doi.org/10.1088/1361-6382/aa8972

Abstract

The class of accelerated and rotating reference frames has been studied on the basis of generalized Fermi-Walker coordinates. We obtain the infinitesimal transformations connecting any two of these frames and also their commutation relations. We thus have an infinite dimensional extension of the Poincaré algebra and, although it turns out to be Abelian extension, and hence trivial, it is noteworthy that, contrarily to Lorentz boosts, acceleration and rotational boost generators commute with each other and with the generators of Poincaré group as well

Subject

Equacions diferencials, Geometria infinitesimal, Relativitat especial (Física)

Subject (English)

Differential equations, Infinitesimal geometry, Special relativity (Physics)

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Articles publicats en revistes (Física Quàntica i Astrofísica)

Citation

LLOSA, Josep. An Extension of Poincaré group based on generalized Fermi-Walker coordinates. Classical and Quantum Gravity. 2017. Vol. 34, num. 20, pags. 205003. ISSN 0264-9381. [consulted: 9 of August of 2026]. Available at: https://hdl.handle.net/2445/125474

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