Dynamic Monopoles and Spacetime Structure
Abstract
Description
According to previous work on magnetic monopoles, static regular solutions are nonexistent if the vacuum expectation value of the Higgs field $η$ is larger than a critical value $η_{\rm cr}$, which is of the order of the Planck mass. In order to understand the properties of monopoles for $η>η_{\rm cr}$, we investigate their dynamics numerically and classify those dynamical solutions into three types as follows. If $η$ is larger than another critical value $η_{\rm inf}~(>η_{\rm cr})$, a monopole inflates and a wormhole structure appears around it. In the case of $η_{\rm cr}<η<η_{\rm inf}$, inflation does not occur and the dynamics depend on the ratio of the Higgs self coupling constant $λ$ and the gauge coupling constant $e^2$: if $λ/e^2\stackrel{<}{\sim}1$, a monopole just shrinks and becomes a black hole; otherwise, a monopole approaches a stable configuration.
2 pages, latex, uuencoded postscript figures; based on gr-qc/9512045, and presented at 1st RESCUE International Symposium THE COSMOLOGICAL CONSTANT AND THE EVOLUTION OF THE UNIVERSE, The University of Tokyo, November 7-10, 1995
2 pages, latex, uuencoded postscript figures; based on gr-qc/9512045, and presented at 1st RESCUE International Symposium THE COSMOLOGICAL CONSTANT AND THE EVOLUTION OF THE UNIVERSE, The University of Tokyo, November 7-10, 1995