  The objective of this work is to analyze the temperature oscillations that
occur in a gas in a circular motion under the action of a Reissner-Nordstr\"om
gravitational field, verifying the effect of the charge term of the metric on
the oscillations. The expression for temperature oscillations follows from
Tolman's law written in Fermi normal coordinates for a comoving observer. The
motion of the gas is close to geodesic so the equation of geodesic deviation
was used to obtain the expression for temperature oscillations. Then these
oscillations are calculated for some compact stars, quark stars, black holes
and white dwarfs, using values of electric charge and mass from models found in
the literature. Comparing the various models analyzed, it is possible to verify
that the role of the charge is the opposite of the mass. While the increase of
the mass produces a reduction in the frequencies, amplitude and in the ratio
between the frequencies, the increase of the electric charge produces the
inverse effect. In addition, it is shown that if the electric charge is
proportional to the mass, the ratio between the frequencies does not depend on
the mass, but only on the proportionality factor between charge and mass. The
ratios between the frequencies for all the models analyzed (except for
supermassive black holes in the extreme limit situations) are close to the
$3/2$ ratio for twin peak quasi-periodic oscillation frequencies, observed in
many galactic black holes and neutron star sources in low-mass X-ray binaries.
