Physics
Scientific paper
Jun 1997
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997gregr..29..837b&link_type=abstract
General Relativity and Gravitation, Volume 29, Issue 7, p.837-850
Physics
2
Scientific paper
The fundamental electromagnetic modes in a spherical annular cavity with perfectly conducting walls at $r = a$ and $r = b$ are calculated, in the presence of a weak Schwarzschild gravitational field. Explicit expressions are given for the case of a ``thin" shell, $(b - a)/a \ll 1$. The modified angular frequency for mode $\ell , m$ can be written as $\omega =\omega_0\{ 1-(GM/a) [2-\ell (\ell +1)/(\omega_0 a)^2]$ where $\omega_0$ is the nongravitational frequency. This formula (being independent of $m$) holds for the magnetic as well as for the electric modes.
Brevik Iver
Straumsnes S.
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