23 citations · 154 across the 20 of their papers we have counts for
20 papers
Regular Reissner-Nordström black hole solutions from linear electrodynamics
J. Ponce de Leon
In recent years there have appeared in the literature a large number of static, spherically symmetric metrics, which are regular at the origin, asymptotically flat, and have both a…
4D spacetimes embedded in 5D light-like Kasner universes
J. Ponce de Leon
We consider spatially homogeneous, anisotropic cosmological models in 5D whose line element can be written as , $(i…
Levi-Civita spacetimes in multidimensional theories
J. Ponce de Leon
We obtain the most general static cylindrically symmetric vacuum solutions of the Einstein field equations in dimensions. Under the assumption of separation of variables,…
A Class of Anisotropic Five-Dimensional Solutions for the Early Universe
J. Ponce de Leon, P. S. Wesson
We solve the Ricci-flat equations of extended general relativity to obtain an interesting class of cosmological models. The solutions are analogous to the 4D ones of Bianchi type-I…
Self-similar cosmologies in 5D: Our universe as a topological separation from an empty 5D Minkowski space
J. Ponce de Leon
In this paper we find the most general self-similar, homogeneous and isotropic, Ricci flat cosmologies in 5D. These cosmologies show a number of interesting features: (i) the field…
Embeddings for 4D Einstein equations with a cosmological constant
J. Ponce de Leon
There are many ways of embedding a 4D spacetime in a given higher-dimensional manifold while, satisfying the field equations. In this work we extend and generalize a recent paper b…