Can a gravitational wave and a magnetic monopole coexist?
O. Abe, O. Tabata (Hokkaido U. of Educ., Asahikawa Campus)
TL;DR
This paper explores the interaction between gravitational waves and magnetic monopoles in five-dimensional Kaluza-Klein spacetime, concluding they cannot coexist under certain conditions.
Contribution
It demonstrates that gravitational waves with constant fifth-dimensional component cannot propagate alongside a U(1) magnetic monopole in this spacetime.
Findings
Gravitational waves do not propagate in the presence of a Kaluza-Klein monopole.
A gravitational wave and a magnetic monopole cannot coexist in five-dimensional Kaluza-Klein spacetime.
The result depends on the gravitational wave being constant in the fifth dimension.
Abstract
We investigate the behavior of small perturbations around the Kaluza-Klein monopole in the five dimensional space-time. We find that the even parity gravitational wave does not propagate in the five dimensional space-time with Kaluza-Klein monopole provided that the gravitational wave is constant in the fifth direction. We conclude that a gravitational wave and a U(1) magnetic monopole do not coexist in five dimensional Kaluza-Klein spacetime.
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