108 citations · 499 across the 20 of their papers we have counts for
20 papers
Embeddings for General Relativity
J. Ponce de Leon
We present a systematic approach to embed -dimensional vacuum general relativity in an -dimensional pseudo-Riemannian spacetime whose source is either a (non)zero cosmo…
Cosmological model with variable equations of state for matter and dark energy
J. Ponce de Leon
We construct a cosmological model which is physically reasonable, mathematically tractable, and extends the study of CDM models to the case where the equations of state (EoS) for m…
Schwarzschild-like exteriors for stars in Kaluza-Klein gravity
J. Ponce de Leon
In this work we examine the effective four-dimensional world that emanates from a general class of static spherical Ricci-flat solutions in Kaluza-Klein gravity in -dimensions.…
Brans-Dicke Cosmology in 4D from scalar-vacuum in 5D
J. Ponce de Leon
We show that Brans-Dicke (BD) theory in 5D may explain the present cosmic accelerated expansion without recurring to matter fields in 5D or dark energy in 4D. Without making any as…
Late time cosmic acceleration from vacuum Brans-Dicke theory in 5D
J. Ponce de Leon
We show that the scalar-vacuum Brans-Dicke equations in 5D are equivalent to Brans-Dicke theory in 4D with a self interacting potential and an effective matter field. The cosmologi…
Static wormholes on the brane inspired by Kaluza-Klein gravity
J. Ponce de Leon
We use static solutions of 5-dimensional Kaluza-Klein gravity to generate several classes of static, spherically symmetric spacetimes which are analytic solutions to the equation $…
Effective spacetime from multi-dimensional gravity
J. Ponce de Leon
We study the effective spacetimes in lower dimensions that can be extracted from a multidimensional generalization of the Schwarzschild-Tangherlini spacetimes derived by Fadeev, Iv…
Modern cosmologies from empty Kaluza-Klein solutions in 5D
J. Ponce de Leon
We show that the empty five-dimensional solutions of Davidson-Sonnenschtein-Vozmediano, {\em Phys. Rev.} {\bf D32} (1985)1330, in the "old" Kaluza-Klein gravity, under appropriate…
Stellar models with Schwarzschild and non-Schwarzschild vacuum exteriors
J. Ponce de Leon
A striking characteristic of non-Schwarzschild vacuum exteriors is that they contain not only the total gravitational mass of the source, but also an {\it arbitrary} constant. In t…
Extra symmetry in the field equations in 5D with spatial spherical symmetry
J. Ponce de Leon
We point out that the field equations in 5D, with spatial spherical symmetry, possess an extra symmetry that leaves them invariant. This symmetry corresponds to certain simultaneou…
Transition from decelerated to accelerated cosmic expansion in braneworld universes
J. Ponce de Leon
Braneworld theory provides a natural setting to treat, at a classical level, the cosmological effects of vacuum energy. Non-static extra dimensions can generally lead to a variable…
Accelerated expansion from braneworld models with variable vacuum energy
J. Ponce de Leon
In braneworld models a variable vacuum energy may appear if the size of the extra dimension changes during the evolution of the universe. In this scenario the acceleration of the u…
Brane-world models emerging from collisions of plane waves in 5D
J. Ponce de Leon
We consider brane-world models embedded in a five-dimensional bulk spacetime with a large extra dimension and a cosmological constant. The cosmology in possesses "wave-like" c…
Invariant definition of rest mass and dynamics of particles in 4D from bulk geodesics in brane-world and non-compact Kaluza-Klein theories
J. Ponce de Leon
In the Randall-Sundrum brane-world scenario and other non-compact Kaluza-Klein theories, the motion of test particles is higher-dimensional in nature. In other words, all test part…
Hydrostatic Equilibrium of a Perfect Fluid Sphere with Exterior Higher-Dimensional Schwarzschild Spacetime
J. Ponce de Leon, Norman Cruz
We discuss the question of how the number of dimensions of space and time can influence the equilibrium configurations of stars. We find that dimensionality does increase the effec…
Mass and Charge in Brane-World and Non-Compact Kaluza-Klein Theories in 5 Dim
J. Ponce de Leon
In classical Kaluza-Klein theory, with compactified extra dimensions and without scalar field, the rest mass as well as the electric charge of test particles are constants of motio…
Variation of G, and Vacuum Energy From Brane-World Models
J. Ponce de Leon
In brane-world theory in five dimensions, the bulk metric is usually written in gaussian coordinates, where and . However, the choice is a…
Equivalence Between Space-Time-Matter and Brane-World Theories
J. Ponce de Leon
We study the relationship between space-time-matter (STM) and brane theories. These two theories look very different at first sight, and have different motivation for the introduct…
Does The Force From an Extra Dimension Contradict Physics in 4D?
J. Ponce de Leon
We examine the question of whether violation of 4D physics is an inevitable consequence of existence of an extra non-compactified dimension. Recent investigations in membrane and K…
The Effective Energy-Momentum Tensor in Kaluza-Klein Gravity With Large Extra Dimensions and Off-Diagonal Metrics
J. Ponce de Leon
We consider a version of Kaluza-Klein theory where the cylinder condition is not imposed. The metric is allowed to have explicit dependence on the "extra" coordinate(s). This is th…