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Slowly rotating white dwarfs in f (R, T ) = R + 2λT gravity: structure and stationary tidal response

Abstract

We calculate the structure and stationary tidal response of cold carbon fluid white dwarfs in f(R,T)=R+2λT gravity through second order in uniform rotation. Equilibria are compared at fixed baryon number, with angular momentum also conserved during each aligned electric quadrupolar tidal perturbation. Negative coupling increases radii and dimensional tidal deformabilities over the common mass range. For the baryon sequence studied, background readjustment accounts for 95.8--97.5\% of the rotational enhancement at 40\% of each model's Kepler reference frequency. The explicit mixed rotational tidal contribution is positive and numerically resolved, but subdominant. At that spin, the enhancement relative to each coupling's static model decreases from 107.4\% in general relativity to 14.2\% at the most negative coupling, despite its larger absolute deformability. This reduction reflects less relative background expansion and a different Love-number variation.

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BibTeX
@misc{otoniel2026slowly,
  title = {{Slowly rotating white dwarfs in f (R, T ) = R + 2λT gravity: structure and stationary tidal response}},
  author = {Edson Otoniel and Jonathan A. Rebouças and P. H. R. S. Moraes},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.00329},
  eprint = {2611.00329},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.00329},
}
RIS
TY  - UNPB
TI  - Slowly rotating white dwarfs in f (R, T ) = R + 2λT gravity: structure and stationary tidal response
AU  - Edson Otoniel
AU  - Jonathan A. Rebouças
AU  - P. H. R. S. Moraes
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.00329
UR  - https://arxiv.org/abs/2611.00329
AB  - We calculate the structure and stationary tidal response of cold carbon fluid white dwarfs in f(R,T)=R+2λT gravity through second order in uniform rotation. Equilibria are compared at fixed baryon number, with angular momentum also conserved during each aligned electric quadrupolar tidal perturbation. Negative coupling increases radii and dimensional tidal deformabilities over the common mass range. For the baryon sequence studied, background readjustment accounts for 95.8--97.5\% of the rotational enhancement at 40\% of each model's Kepler reference frequency. The explicit mixed rotational tidal contribution is positive and numerically resolved, but subdominant. At that spin, the enhancement relative to each coupling's static model decreases from 107.4\% in general relativity to 14.2\% at the most negative coupling, despite its larger absolute deformability. This reduction reflects less relative background expansion and a different Love-number variation.
ER  -