We numerically study the evolution of the extrinsic energy density in the context of an
inflationary regime at the background level in a five-dimensional model using a Bayesian …

We investigate the isometrically embedded Bianchi type-V cosmology braneworld model in
a D-dimensional bulk space. The model provides a fluid of geometric dark energy (GDE) …

This paper simplifies the induced four-dimensional gravitational equations originating from a
five-dimensional bulk within the framework of Nash's embeddings, incorporating them into a …

We study the possibility that Universe is subjected to a deformation, besides its expansion
described by Friedmann's equations. The concept of smooth deformation of a riemannian …

In this work, we investigate the embedding of a four-dimensional spherically symmetric
metric in a six-dimensional bulk. By using the Nash-Greene embedding theorem, the …

In this paper we examine the evolution of cosmic density parameters in a four‐dimensional
space‐time embedded in a five‐dimensional bulk space. We show that the extrinsic …

In the present paper we apply Nash's theory of perturbative geometry to the study of dark
matter gravity in a higher-dimensional space–time. It is shown that the dark matter …

In this work, we apply the smooth deformation concept in order to obtain a modification of
Friedmann's equations. It is shown that the cosmic coincidence can be at least alleviated …

The Hubble parameter H (z), as a function of redshift, is modified by the presence of a new
term originated from the extrinsic curvature in a four embedded space–time. Assuming an …

We study the deformation caused by the influence of the extrinsic curvature on a vacuum
spherically symmetric metric embedded in a five-dimensional bulk. We investigate the …