On a cosmological study of Entangled Relativity with a cosmological constant

Abstract

Context: Entangled Relativity is a nonlinear reformulation of General Relativity that forbids vacuum solutions and requires fewer fundamental parameters. Its extension with a positive cosmological constant recovers the corresponding General Relativity solutions when the on-shell matter Lagrangian satisfies Lm = T . Aims: We investigate its cosmological evolution during the matter-and dark-energy-dominated eras and constrain its late-time cosmological parameters. Methods: We analyze the associated autonomous dynamical system and perform a Markov chain Monte Carlo analysis using 33 cosmic-chronometer measurements and the Pantheon+SH0ES sample. We sample {H0, Ωm, Ω ϕ , ΩFF}, assuming spatial flatness, and infer ΩΛ,0 from the Friedmann constraint. Results: The dynamical system contains eight physical saddle points, one scalar-field-dominated repeller, and a unique de Sitter attractor. For the combined data set, we obtain {H0 = 73.3 +0.3 -0.3 , Ωm = 0.36 +0.07 -0.09 , Ω ϕ = -0.04 +0.05 -0.05 , ΩFF = 0.03 +0.04 -0.02 , ΩΛ = 0.65 +0.05 -0.05 }, with H0 in km, s -1 , Mpc -1 . Assuming dust-like dark matter and identifying the free-fermion component with neutrinos, we obtain mν = 1.4 +2.0 -1.0 , eV. We also obtain -3.5 × 10 -12 ≤ Ġ G ,0-ER ≤ 0.1 × 10 -12 yr -1 . Conclusions: Entangled Relativity can distinguish matter components that are degenerate at the background level in General Relativity and allows the neutrino mass scale to be constrained using low-redshift data alone. Extending the analysis to the radiation era requires determining the on-shell matter Lagrangian of the interacting primordial plasma.

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BibTeX RIS

BibTeX

@misc{chehab2026cosmological,
  title = {{On a cosmological study of Entangled Relativity with a cosmological constant}},
  author = {Thomas Chehab and Elias Orn Frimannsson and Josuah Mea and David F Mota and Olivier Minazzoli},
  howpublished = {HAL},
  year = {2026},
  month = oct,
  url = {https://hal.science/hal-05801295v1},
  note = {CC BY 4.0},
}

RIS

TY  - UNPB
TI  - On a cosmological study of Entangled Relativity with a cosmological constant
AU  - Thomas Chehab
AU  - Elias Orn Frimannsson
AU  - Josuah Mea
AU  - David F Mota
AU  - Olivier Minazzoli
PY  - 2026
DA  - 2026/10/15
PB  - HAL
UR  - https://hal.science/hal-05801295v1
AB  - Context: Entangled Relativity is a nonlinear reformulation of General Relativity that forbids vacuum solutions and requires fewer fundamental parameters. Its extension with a positive cosmological constant recovers the corresponding General Relativity solutions when the on-shell matter Lagrangian satisfies Lm = T . Aims: We investigate its cosmological evolution during the matter-and dark-energy-dominated eras and constrain its late-time cosmological parameters. Methods: We analyze the associated autonomous dynamical system and perform a Markov chain Monte Carlo analysis using 33 cosmic-chronometer measurements and the Pantheon+SH0ES sample. We sample {H0, Ωm, Ω ϕ , ΩFF}, assuming spatial flatness, and infer ΩΛ,0 from the Friedmann constraint. Results: The dynamical system contains eight physical saddle points, one scalar-field-dominated repeller, and a unique de Sitter attractor. For the combined data set, we obtain {H0 = 73.3 +0.3 -0.3 , Ωm = 0.36 +0.07 -0.09 , Ω ϕ = -0.04 +0.05 -0.05 , ΩFF = 0.03 +0.04 -0.02 , ΩΛ = 0.65 +0.05 -0.05 }, with H0 in km, s -1 , Mpc -1 . Assuming dust-like dark matter and identifying the free-fermion component with neutrinos, we obtain mν = 1.4 +2.0 -1.0 , eV. We also obtain -3.5 × 10 -12 ≤ Ġ G ,0-ER ≤ 0.1 × 10 -12 yr -1 . Conclusions: Entangled Relativity can distinguish matter components that are degenerate at the background level in General Relativity and allows the neutrino mass scale to be constrained using low-redshift data alone. Extending the analysis to the radiation era requires determining the on-shell matter Lagrangian of the interacting primordial plasma.
ER  -

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