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February 14, 20260 citationsOpen Access

Cosmic acceleration from Vaidya-FRW junction conditions: dark energy as horizon growth dynamics

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BYBrandon Yates

Key Points

  • The research investigates cosmic acceleration dynamics using junction conditions, examining dark energy behavior.
  • Matched Vaidya exterior to Friedmann-Robertson-Walker interior using Israel-Darmois conditions.
  • Derived Hubble parameter as a function of mass accretion rate from horizon growth analysis.
  • Conducted joint analysis of data from DESI, Pantheon+, and Planck for parameter validation.
  • Effective equation of state indicates w_eff = -1/3 - 2α/3, fitting data with α = 0.968 ± 0.034.
  • Constant fractional accretion results in w = -1, aligning with ΛCDM expansion history.
  • Localized accretion enhancement identified at redshift z_c = 0.65 with significant statistical preference over ΛCDM model.

Abstract

Using Israel-Darmois junction conditions to match a Vaidya exterior to a Friedmann-Robertson-Walker interior, we derive H = Ṁ/M: the Hubble parameter equals the fractional mass accretion rate of the bounding horizon. For power-law accretion Ṁ = κM^α, the effective equation of state is wₑff = −1/3 − 2α/3. Constant fractional accretion (α = 1) yields w = −1 exactly, reproducing the ΛCDM expansion history from boundary geometry without introducing a dark-energy fluid. Joint analysis of DESI DR2 BAO, Pantheon+ supernovae, and Planck CMB priors returns α = 0. 968 ± 0. 034, confirming this prediction to within 3%. With the ΛCDM baseline locked (α ≡ 1), the data identify a localized accretion enhancement at zc = 0. 65 +0. 12/−0. 06 with Planck-consistent background cosmology (H₀ = 67. 7 ± 0. 7, Ωₘ = 0. 307 ± 0. 006), preferred over ΛCDM at Δχ² = 11. 5 (p = 0. 003, 2. 9σ for 2 extra parameters). The feature appears at consistent redshift and amplitude across three independent supernova compilations and in pure BAO+CMB data without supernovae. At equal parameter count with w₀wₐ (5 vs 5), the Gaussian model fits Pantheon+ better (Δχ² = 11. 2 vs 9. 8 over ΛCDM) with 10: 1 Bayesian preference. The framework predicts |Δw| > 0. 2 divergence from w₀wₐ at z > 1. 5, already emerging in hemisphere splits of current data 38.

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Cite This Study

Brandon Yates (2026) studied this question.

synapsesocial.com/papers/699011932ccff479cfe58648https://doi.org/10.5281/zenodo.18619906
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