  In the present article, we study the Hawking effect and the bounds on
greybody factor in a spacetime with radial deformation. This deformation is
expected to carry the imprint of a non-Einsteinian theory of gravity, but
shares some of the important characteristics of general relativity (GR). In
particular, this radial deformation will restore the asymptotic behavior, and
also allows for the separation of the scalar field equation in terms of the
angular and radial coordinates -- making it suitable to study the Hawking
effect and greybody factors. However, the radial deformation would introduce a
change in the locations of the horizon, and therefore, the temperature of the
Hawking effect naturally alters. In fact, we observe that the deformation
parameter has an enhancing effect on both temperature and bounds on the
greybody factor, which introduces a useful distinction with the Kerr spacetime.
We discuss these effects elaborately, and broadly study the thermal behavior of
a radially deformed spacetime.
