Electromagnetic Sources Teleparallel Robertson–Walker F(T)-Gravity Solutions

We investigate the teleparallel Robertson–Walker (TRW) F(T)-gravity solutions for a cosmological electromagnetic source in the current paper. We use and solve the TRW F(T)-gravity field equations (FEs) for each value of the k-parameter (−1,0,+1) and the electromagnetic equivalent of the equation of state (EoS), leading to new teleparallel F(T) solutions. For the k=0 cosmological case, we find new teleparallel F(T) solutions for any scale factor n. For k=±1 cosmological cases, we find exact and far-future approximated new teleparallel F(T) solutions for slow, linear, fast and infinitely fast universe expansion summarized by analytical functions. All the new solutions are relevant for future cosmological applications, implying any electromagnetic source processes, such as the cosmological plasma models.

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Publication Details

Journal
Mathematics
Published
2025-12-23
DOI
https://doi.org/10.3390/math14010048
Primary Topic
Cosmology and Gravitation Theories
Type
article
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article

Electromagnetic Sources Teleparallel Robertson–Walker F(T)-Gravity Solutions

Alexandre Landry
Mathematics
Cosmology and Gravitation Theories
article

Electromagnetic Sources Teleparallel Robertson–Walker F(T)-Gravity Solutions

Alexandre Landry
article en

Abstract

We investigate the teleparallel Robertson–Walker (TRW) F(T)-gravity solutions for a cosmological electromagnetic source in the current paper. We use and solve the TRW F(T)-gravity field equations (FEs) for each value of the k-parameter (−1,0,+1) and the electromagnetic equivalent of the equation of state (EoS), leading to new teleparallel F(T) solutions. For the k=0 cosmological case, we find new teleparallel F(T) solutions for any scale factor n. For k=±1 cosmological cases, we find exact and far-future approximated new teleparallel F(T) solutions for slow, linear, fast and infinitely fast universe expansion summarized by analytical functions. All the new solutions are relevant for future cosmological applications, implying any electromagnetic source processes, such as the cosmological plasma models.

MathematicsVol. 14(1)
Dalhousie University (CA)
Openalex Percentile: Top 31%
Cosmology and Gravitation Theories
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