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In this paper, we explore the source of gravitational radiation in thecontext of $f(R)$ gravity by considering axially symmetric dissipative dustunder geodesic condition. We evaluate scalars associated with electric andmagnetic parts of the Weyl tensor for both non-spinning (at the center) andspinning (in the surrounding of the center) fluids of the configuration. Forthis purpose, we use the evolution as well as constraint equations forkinematical quantities and Weyl tensor. Finally, we investigate the existenceof gravitational radiation through super-Poynting vector. It is found that thefluid is not gravitationally radiating in the non-spinning case but it isgravitationally radiating for the spinning case.

Axial Dissipative Dust as a Source of Gravitational Radiation in f(R) Gravity