In the Jacobson formalism general relativity is obtained from thermodynamics. This is done
by using the Bekenstein–Hawking entropy–area relation. However, as a black hole gets …

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 …

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 …

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 analyze a rotating black hole (BH) in a four-dimensional space-time embedded in five-
dimensional flat bulk. In Boyer–Lindquist coordinates, we use a generic extension of the …

We present the perturbation equations in an embedded four space-time from the linear Nash-
Greene fluctuations of background metric. In the context of a five-dimensional bulk, we show …

From the linear perturbations of Nash–Greene fluctuations of a background metric, we
obtain profiles of Hubble function evolution H (z) and f σ 8 (z) measurements as compared …

We test a four dimensional cosmological model embedded in a five dimensional bulk space
by means of the dynamical Nash-Greene theorem. In a fluid approach, we apply a joint …

We test a model associated with the Einstein gravity modified by using the linear Nash
perturbations of the background metric. By means of a Markov chain Monte Carlo (MCMC) …

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 …