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Abstract

We study numerically the scalar wave emission by a non-spherical oscillation
of neutron stars in a scalar-tensor theory of gravity with kinetic screening,
considering both the monopole and quadrupole mode emission. In agreement with
previous results in the literature, we find that the monopole is always
suppressed by the screening effect, regardless of the size of the screening
radius, $r_{\rm sc}$. For the quadrupole mode, however, our analysis shows that
the suppression only occurs for screening radius larger than the wavelength of
scalar waves, $\lambda_{\rm wave}$, but not for $r_{\rm sc} < \lambda_{\rm
wave}$. This demonstrates that to fully understand the nature of this theory,
it is necessary to study other more complex systems, such as neutron star
binaries, considering a wide range of $r_{\rm sc}$ values.