A possible geometrical origin of the accelerated expansion of the universe
Ariadna Montiel, Nora Bret\'on, Rub\'en Cordero, Efra\'in Rojas

TL;DR
This paper proposes a geometrical explanation for the universe's accelerated expansion based on modified geodetic brane cosmology, which fits observational data without requiring dark energy or a cosmological constant.
Contribution
It introduces a new braneworld cosmology model derived from extrinsic curvature effects that can explain acceleration without dark energy, addressing issues in previous models.
Findings
The model fits supernovae, Hubble, BAO, and CMB data well.
It reproduces accelerated expansion purely from geometrical effects.
It avoids problems found in other braneworld scenarios.
Abstract
The modified geodetic brane cosmology (MGBC) is tested with observational data. The MGBC is derived from the geodetic brane gravity action corrected by the extrinsic curvature of the braneworld. The density parameter coming from this additional term produces an accelerated expansion of geometrical origin. Subject to the Supernovae Ia, Observable Hubble parameter, Baryon Acoustic Oscillations and Cosmic Microwave Background probes, the obtained fit provides enough evidence in the sense that the extrinsic curvature effect is able to reproduce the accelerated expansion of the universe without need of invoking dark energy, exotic matter or cosmological constant. Moreover the MGBC is free of the problems present in other braneworld models.
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