Zubair Ikram2025-11-252025-11-252025-07-15https://escholar.umt.edu.pk/handle/123456789/12716In this work, we explore the propagation of modified gravitational wave forms arising from the inspiral of compact binary systems within the framework of f(T) gravity. We show that the key difference between the modified and general theory of relativity waveforms lies in the corrections introduced to the gravitational wave amplitude. Focusing on gravitational wave sources such as black hole (bh) and neutron star binaries, we analyze their signals as detected by future third-generation detectors like the Einstein Telescope (et) and the Advanced LIGO (aligo) interferometer. While our results indicate that sources within the aligo sensitivity range can provide constraints on the f(T) gravity model that are consistent with current cosmological data.enThesis