Bang-Time Perturbations and Redshift Drift in LTB Cosmology: Regularity, Distance Compensation, and Light-Cone Response
- 1DXN1-STUDIOS
Abstract
We study how radial variations in the bang time affect redshift drift in Lemaître–Tolman–Bondi cosmologies. Starting from the neighboring-light-cone equations, we derive a linear response system and evaluate it for regular dust and Λ-bearing model families. In the sampled parabolic dust models, hump-shaped bang-time profiles develop shell crossings, while a monotonic profile avoids them and gives a positive drift response at all sampled redshifts. A corresponding flat Λ-LTB family shows the same response sign in our calculations. We also solve a local first-order curvature compensation problem that holds luminosity distance fixed; the solution becomes sharply varying near the angular-diameter-distance maximum, limiting finite-amplitude control. These are model-specific numerical results, not observational detections or a universal theorem.
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BibTeX
@misc{postma2026bangtime,
title = {{Bang-Time Perturbations and Redshift Drift in LTB Cosmology: Regularity, Distance Compensation, and Light-Cone Response}},
author = {Dani Postma},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23435994},
url = {https://zenodo.org/records/23435994},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Bang-Time Perturbations and Redshift Drift in LTB Cosmology: Regularity, Distance Compensation, and Light-Cone Response
AU - Dani Postma
PY - 2026
DA - 2026/10/17
PB - Zenodo
DO - 10.5281/zenodo.23435994
UR - https://zenodo.org/records/23435994
AB - We study how radial variations in the bang time affect redshift drift in Lemaître–Tolman–Bondi cosmologies. Starting from the neighboring-light-cone equations, we derive a linear response system and evaluate it for regular dust and Λ-bearing model families. In the sampled parabolic dust models, hump-shaped bang-time profiles develop shell crossings, while a monotonic profile avoids them and gives a positive drift response at all sampled redshifts. A corresponding flat Λ-LTB family shows the same response sign in our calculations. We also solve a local first-order curvature compensation problem that holds luminosity distance fixed; the solution becomes sharply varying near the angular-diameter-distance maximum, limiting finite-amplitude control. These are model-specific numerical results, not observational detections or a universal theorem.
ER -