Abstract:
The success of general theory of relativity in testing deflection of light, radar echo delay, precession of planetary motion and gravitational redshift by gravity are the manifestation of progress in astronomy and astrophysical studies. The discovery of the expanding universe at an accelerating phase is another astounding progress in astronomy and astrophysics. Nowadays, the end products of stellar evolution called compact objects (White Dwarf (WD), Neutron Star (NS) and Black Hole (BH)) act as laboratory for the Theory of General Relativity tests over a wide range including origins and future determinations. These objects provide important information about the age of astrophysical objects; constrain models of galactic and cosmological evolutionary history from small scale to large scale structure. Currently, the development of astronomy has led an expansion of human knowledge reaching out, ever farther from our home where the observational tools were solely dependent on the information carried by electromagnetic waves (EMWs). However, due to EMWs interaction with matter there are limitations where these waves unable to penetrate a great deal of compact objects. However, it is hoped that, the transparency of media to GWs a laboratory for general relativity and a window to energetic astrophysical phenomena. Although no conclusive evidence for the direct detection of gravitational waves exists at present, as literatures point out a great hope that gravitational-wave astronomy may open a new window on the universe. Yet, the mechanisms of matching and testing theoretical models with observation need to be worked out for the completeness of the underlying physics. Motivated by this scientific background, we work on gravitational radiation emitted from binary compact objects like NS-NS or NS-BH or BH-BH binaries that possibly support a mechanism to test the effect of cosmological constant at local level in Schwarzschild de-Sitter background. The project problem attack assumes a pure theoretical development that involves both analytical and numerical approaches.
