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February 28, 20260 citationsOpen Access

CCEGA: Consistent Geometric Modelo (perturbation Analysis).

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LMLópez Sánchez Marc

Key Points

  • The central aim is to provide a mathematical proof of the consistency of the CCEGA framework in cosmology.
  • Derived full field equations using variational formulation.
  • Conducted stability analysis to ensure ghost-free and tachyon-free conditions.
  • Analyzed cosmological perturbations in the Newtonian gauge.
  • Validated model against Planck 2018 data and Big Bang Nucleosynthesis limits.
  • Confirmed kinetic terms remain canonical, preventing ghost degrees of freedom.
  • Defined effective mass ensures linear stability in Friedmann-Lemaître-Robertson-Walker spacetime.
  • Derived a modified Poisson equation with effective gravitational coupling.
  • Validated compatibility with gravitational wave observations from GW170817.

Abstract

Technical Structure and Content The document provides a comprehensive mathematical proof of the theory's consistency through several key sections: Variational Formulation: Derives the full field equations from an action where the matter Lagrangian L₌ is coupled to an exponential factor e^- R^{2}. Stability Analysis: Ghost-Free: Confirms the kinetic term remains canonical, preventing ghost degrees of freedom. Tachyon-Free: Defines an effective mass m₄₅₅^2 = 2 Re^- R₀^{2}L₌ to ensure linear stability in FLRW spacetime. . Cosmological Perturbations: Analyzes structure growth in the Newtonian gauge and derives a modified Poisson equation with an effective gravitational coupling G₄₅₅. Observational Constraints: Gravitational Waves: Proves c₆ₖ = c, ensuring compatibility with GW170817. CMB & BBN: Validates the model against Planck 2018 data and Big Bang Nucleosynthesis limits. . Primary References Cited The author, López Sánchez, builds upon established physics including: López Sánchez, Marc (2026): The foundational CCEGA framework. Planck Collaboration (2020): Cosmological parameters for nₒ constraints. Abbott et al. (2017): Binary neutron star merger data (GW170817). Horndeski (1974): Stability of scalar-tensor field equations. Starobinsky (1980): Basis for f (R) gravity models.

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Cite This Study

López Sánchez Marc (2026) studied this question.

synapsesocial.com/papers/69a287e20a974eb0d3c03ab7https://doi.org/10.5281/zenodo.18778505
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