arXiv subjects

Ron Lenk

Publications and source records attributed to Ron Lenk.

3 recordsLinked to original sources

arXiv2010

General Exact Solution of Einstein Field Equations for Diagonal, Vacuum, Separable Metrics

In this article we find the general, exact solution for the gravitational field equations for diagonal, vacuum, separable metrics. These are metrics each of whose terms can be separated into functions of each space-time variable separately. Other than this, the functions are completely arbitrary; no symmetries are assumed; no limitations are placed on the coordinates. There are 16 functions, which with specific selection of coordinates reduce to 12. Since there are 10 field equations, two functions in the solution are completely arbitrary. The field equations are solved exactly. The solution for each function is presented analytically, with a total of three parameters and ten constants in addition to the two arbitrary functions.

gr-qc↗

arXiv2010

Classical Electron Model with QED Corrections

In this article we build a metric for a classical general relativistic electron model with QED corrections. We calculate the stress-energy tensor for the radiative corrections to the Coulomb potential in both the near-field and far-field approximations. We solve the three field equations in both cases by using a perturbative expansion to first order in alpha (the fine-structure constant) while insisting that the usual (+, +, -, -) structure of the stress-energy tensor is maintained. The resulting metric models a (non-spinning) electron with a Coulomb potential with QED corrections, and maintains masslessness of the photon to self-consistent order. The near-field solution resembles the metric of a global monopole.

gr-qc↗

arXiv2010

Positive Energy Wormholes Made from Normal Charges

In this article we look at the class of positive-energy density wormholes introduced by Eiroa and Simeone, and ask the question "How close can we come to building this wormhole with normal, electrically charged matter?" Using a series expansion, we determine that the stress-energy tensor of the metric can be made arbitrarily close to that of a charged line-source by taking the exponent of the radial coordinate to be sufficiently small. We also find terms in the expansion which resemble QED radiative corrections to the Coulomb field of an electron.

physics.gen-ph↗