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The research aims to explain dark matter phenomena using a modified-gravity approach, ensuring consistency with gravitational-wave observations.

March 22, 2026Open Access

Cumulative Elastic Stress in Spacetime: An Explanation of Dark Matter Phenomena without Graviton Mass

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This framework reveals dark matter phenomena from elastic stress in spacetime, suggesting new insights into cosmic acceleration.

The research aims to explain dark matter phenomena using a modified-gravity approach, ensuring consistency with gravitational-wave observations.
Proposes a modified gravity framework with cumulative elastic stress in spacetime.
Employs a perturbative analysis to show the graviton remains massless.
Derives a modified acceleration relation from the coupled field equations.
Fits a parameterized relation to 175 galaxies from the SPARC database using Gaussian priors.
Determines a universal parameter α = (1.20 ± 0.06) × 10−10 m−1/2s, enabling predictions for galactic rotation curves.
Achieves good fit to observed rotation profiles with mean reduced chi-square ⟨χ2ν⟩ ≈ 1.12.
Predicts velocity scaling vc ∝ r−1/6, providing a distinct contrast to MOND (Modified Newtonian Dynamics).
Explains enhanced mass discrepancies in clusters like the Bullet Cluster using merger-induced tidal stress.

SAMI ALMUAIGEL (2026) studied this question.

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