Experimental evidence suggests that we live in a spatially flat, accelerating universe
composed of roughly one-third of matter (baryonic+ dark) and two-thirds of a negative …

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 …

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 …

The vacuum solutions in brane gravity differ from those in 4D by a number of additional
terms and reduce to the familiar Schwarzschild metric at small distances. We study the …

The concept of smooth deformations of Riemannian manifolds, recently evidenced by the
solution of the Poincaré conjecture, is applied to Einstein's gravitational theory and in …

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 …