23 citations · 154 across the 20 of their papers we have counts for
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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…
The principle of least action for test particles in a four-dimensional spacetime embedded in 5D
J. Ponce de Leon
It is well known that, in the five-dimensional scenario of braneworld and space-time-mass theories, geodesic motion in 5D is observed to be non-geodesic in 4D. Usually, the discuss…
Static exteriors for nonstatic braneworld stars
J. Ponce de Leon
We study possible static non-Schwarzschild exteriors for nonstatic spherically symmetric stars in a Randall $&$ Sundrum type II braneworld scenario. Thus, the vacuum region outside…
The equivalence principle in Kaluza-Klein gravity
J. Ponce de Leon
In four-dimensional general relativity the spacetime outside of an isolated spherical star is described by a unique line element, which is the Schwarzschild metric. As a consequenc…
Exterior spacetime for stellar models in 5-dimensional Kaluza-Klein gravity
J. Ponce de Leon
It is well-known that Birkhoff's theorem is no longer valid in theories with more than four dimensions. Thus, in these theories the effective 4-dimensional picture allows the exist…