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PreprintarXiv licencearXiv

Teleparallel torsion and white dwarf structure in f(T)=T+ΞT2 gravity

Abstract

We investigate how quadratic torsion modifies the equilibrium structure of white dwarfs in covariant f(T)=T+ΞT2 gravity. Static spherical configurations are calculated with a fixed equation of state for cold carbon matter, including relativistic electron degeneracy and Coulomb lattice corrections. The stellar interior is matched to a vacuum exterior, and the mass is determined from the asymptotic geometry. At fixed central density, negative couplings produce more massive and more compact configurations than general relativity, whereas positive couplings give smaller masses and larger radii. The deviations increase with central density and are more pronounced in mass than in radius. The first limiting feature of each sequence depends on the coupling. For Ξ=−1018 cm2, the sequence remains monotonic up to the electron capture density and reaches 1.508 M⊙. General relativity and Ξ=+1018 cm2 instead reach mass turning points at 1.385 M⊙ and 1.366 M⊙, respectively. The positive extreme can be continued as an equilibrium solution to the capture density, where its mass decreases to 1.24 M⊙, but this configuration lies beyond the turning point and is not the maximum mass along that sequence. These results identify a density dependent structural response to torsion that changes the stellar mass scale without modifying the matter equation of state.

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BibTeX
@misc{otoniel2026teleparallel,
  title = {{Teleparallel torsion and white dwarf structure in \(f(T)=T+ΞT^2\) gravity}},
  author = {Edson Otoniel and Jonathan A. Reboucas and Iarley P. Lobo},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.11921},
  eprint = {2609.11921},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.11921},
}
RIS
TY  - UNPB
TI  - Teleparallel torsion and white dwarf structure in f(T)=T+ΞT^2 gravity
AU  - Edson Otoniel
AU  - Jonathan A. Reboucas
AU  - Iarley P. Lobo
PY  - 2026
DA  - 2026/09/10
PB  - arXiv
DO  - 10.48550/arxiv.2609.11921
UR  - https://arxiv.org/abs/2609.11921
AB  - We investigate how quadratic torsion modifies the equilibrium structure of white dwarfs in covariant f(T)=T+ΞT^2 gravity. Static spherical configurations are calculated with a fixed equation of state for cold carbon matter, including relativistic electron degeneracy and Coulomb lattice corrections. The stellar interior is matched to a vacuum exterior, and the mass is determined from the asymptotic geometry. At fixed central density, negative couplings produce more massive and more compact configurations than general relativity, whereas positive couplings give smaller masses and larger radii. The deviations increase with central density and are more pronounced in mass than in radius. The first limiting feature of each sequence depends on the coupling. For Ξ=−10^18 cm^2, the sequence remains monotonic up to the electron capture density and reaches 1.508 M_⊙. General relativity and Ξ=+10^18 cm^2 instead reach mass turning points at 1.385 M_⊙ and 1.366 M_⊙, respectively. The positive extreme can be continued as an equilibrium solution to the capture density, where its mass decreases to 1.24 M_⊙, but this configuration lies beyond the turning point and is not the maximum mass along that sequence. These results identify a density dependent structural response to torsion that changes the stellar mass scale without modifying the matter equation of state.
ER  -