S. R. Pinto, C. J. A. P. Martins
Abstract
In the Regge-Teitelboim model, gravity is described by embedding the space-time manifold in a (usually flat) fixed higher-dimensional background, where the embedding coordinates, rather than the metric tensor, are the dynamical degrees of freedom. Stern and Xu extended the Regge-Teitelboim framework to encompass scenarios where the background embedding space is not flat, noting that when the background is a five-dimensional de Sitter space, the Robertson-Walker manifold undergoes a transition from a decelerating phase to an accelerating one. Previously, we constrained this model using only low-redshift observations. Here, we further explore the observational constraints on this scenario and report significantly more stringent constraints by including high-redshift data, specifically from the cosmic microwave background. Our results are consistent with the Λ cold dark matter model, with the putative model-specific energy component responsible for the recent acceleration being constrained to ΩRT<0.006 and the de Sitter curvature radius in units of the Hubble constant being constrained to LH0>1.45, both at the 95% confidence level.
Keywords
Cosmology / Cosmology and Nongalactic Astrophysics / General Relativity and Quantum Cosmology / High Energy Physics - Phenomenology
Physical Review D
Volume 112, Issue 023526
2025 July
