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Cosmology from Non‐Minimal Geometry‐Matter Coupling

Berenice Santos GonçalvesInstituto Tecnológico de Aeronáutica Departamento de Física São José dos Campos SP 12228‐900 BrazilP. H. R. S. MoraesUniversidade Federal do ABC (UFABC) Centro de Ciências Naturais e Humanas (CCNH) Avenida dos Estados 5001 Santo André SP 09210‐580 BrazilB. MishraDepartment of Mathematics Birla Institute of Technology and Science‐Pilani Hyderabad Campus 500078 Hyderabad India
2023en
ABI

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Abstract We construct a cosmological model from the inception of the Friedmann‐Lemâitre‐Robertson‐Walker metric into the field equations of the gravity theory, with R being the Ricci scalar and being the matter lagrangian density. The formalism is developed for a particular function, namely , with σ being a constant that carries the geometry‐matter coupling. Our solutions are remarkably capable of evading the Big‐Bang singularity as well as predict the cosmic acceleration with no need for the cosmological constant, but simply as a consequence of the geometry‐matter coupling terms in the Friedmann‐like equations.

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