Unveiling the effects of coupling extended Proca-Nuevo gravity on cosmic expansion with recent observations

ABSTRACT We study Coupling Extended Proca-Nuevo gravity, a non-linear theory extending from dRGT massive gravity with a spin-1 field. This theory is shown to yield reliable, ghost-free cosmological solutions, modelling both the Universe’s thermal history and late-time acceleration. By analysing data from dark energy spectroscopic instruments (DESI), cosmic chronometer (CCh), gamma-ray bursts (GRBs), and Type Ia Supernova (SNeIa), we derive parameter constraints with up to 3$\sigma$ confidence, demonstrating good agreement with observations. Our comparison of BAO data from WiggleZ and DESI highlights its constraining power on the Hubble constant. The analysis of the cosmographic parameter, q shows the statistical compatibility with the recent data. Further, this indicates that Universe’s current accelerated expansion aligns with quintessential behaviour.