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Cosmic Acceleration from Vaidya-FRW Junction Conditions

Authors: Yates, Brandon; Chang, Tzu-Yi;

Cosmic Acceleration from Vaidya-FRW Junction Conditions

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 growth rate of the bounding horizon. For power-law growth Ṁ = κMα, the effective equation of state is weff = −1/3 − 2α/3. Constant fractional growth (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, consistent with this prediction to within 3%. With the ΛCDM baseline locked (α ≡ 1), the data identify a localized growth-rate 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 dof). The feature appears at consistent redshift and amplitude across three independent supernova compilations and in 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, testable with forthcoming surveys.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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Average
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