Weyl–Lorentz-U(1)-invariant symmetric teleparallel gravity in three dimensions

Muzaffer Adak; Nese Ozdemir; Caglar Pala

doi:10.1140/epjc/s10052-023-11771-w

Weyl–Lorentz-U(1)-invariant symmetric teleparallel gravity in three dimensions

Muzaffer Adak^*, Nese Ozdemir, Caglar Pala

^*Corresponding author for this work

Department of Physics Engineering

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We consider a Weyl–Lorentz-U(1)-invariant gravity model written in terms of a scalar field, electromagnetic field and nonmetricity without torsion and curvature, the so-called symmetric teleparallel geometry, in three dimensions. Firstly, we obtain variational field equations from a Lagrangian. Then, we find some classes of circularly symmetric rotating solutions by making only a metric ansatz. The coincident gauge of symmetric teleparallel spacetime allows us for doing so.

Original language	English
Article number	606
Journal	European Physical Journal C
Volume	83
Issue number	7
DOIs	https://doi.org/10.1140/epjc/s10052-023-11771-w
Publication status	Published - Jul 2023

Bibliographical note

Publisher Copyright:
© 2023, The Author(s).

Funding

One of the authors (MA) stays at Istanbul Technical University (ITU) via a sabbatical leave and thanks the Department of Physics Engineering, ITU for warm hospitality. C.P. and M.A. were supported via the project number 2022FEBE032 by the Scientific Research Coordination Unit of Pamukkale University. One of the authors (C.P.) thanks TUBITAK (Scientific and Technical Research Council of Turkey) for a grant through TUBITAK 2214-A that makes his stay in the Estonia possible and the Institute of Physics, University of Tartu for warm hospitality. We are grateful to Tomi S. Koivisto for fruitful discussions and the anonymous referee for useful comments. One of the authors (MA) stays at Istanbul Technical University (ITU) via a sabbatical leave and thanks the Department of Physics Engineering, ITU for warm hospitality. C.P. and M.A. were supported via the project number 2022FEBE032 by the Scientific Research Coordination Unit of Pamukkale University. One of the authors (C.P.) thanks TUBITAK (Scientific and Technical Research Council of Turkey) for a grant through TUBITAK 2214-A that makes his stay in the Estonia possible and the Institute of Physics, University of Tartu for warm hospitality. We are grateful to Tomi S. Koivisto for fruitful discussions and the anonymous referee for useful comments.

Funders	Funder number
Department of Engineering Physics, University of Wisconsin-Madison	2022FEBE032
Pamukkale Üniversitesi
Türkiye Bilimsel ve Teknolojik Araştırma Kurumu	2214-A
Istanbul Teknik Üniversitesi

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AB - We consider a Weyl–Lorentz-U(1)-invariant gravity model written in terms of a scalar field, electromagnetic field and nonmetricity without torsion and curvature, the so-called symmetric teleparallel geometry, in three dimensions. Firstly, we obtain variational field equations from a Lagrangian. Then, we find some classes of circularly symmetric rotating solutions by making only a metric ansatz. The coincident gauge of symmetric teleparallel spacetime allows us for doing so.

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Weyl–Lorentz-U(1)-invariant symmetric teleparallel gravity in three dimensions

Abstract

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