Eigenvalues of the static, spherically-symmetric Einstein-Proca equations
General Physics
2016-10-13 v1
Abstract
The Proca potential has been used in many contexts in flat spacetime, but not so often in curved spacetime. Here, the static Proca potentials are derived on a Schwarzschild background, and are found to have very different forms from those in flat space. In addition, the coupling of the two fields leads to a quantum condition on the particle mass, which is found to be quantized and inversely proportional to the range parameter, . This suggests that gravity may induce quantization in other physical fields.
Cite
@article{arxiv.1610.03703,
title = {Eigenvalues of the static, spherically-symmetric Einstein-Proca equations},
author = {Chris Vuille},
journal= {arXiv preprint arXiv:1610.03703},
year = {2016}
}