Energy of Gravitational Waves in Black Hole Collisions

Gravitational energy of the black hole is derived from equations of relativity and energy equations of the black hole. The equation is derived by considering the escape of a photon from the black hole. When observed at infinity, the mass of the black hole beyond its horizon is found to be twice its mass for a non-rotating black hole. The equation also infers that for a photon to escape the gravitational pull of the black hole, it expends half of its energy. The effect of the recent detection of Gravitational waves, from collision of black holes, is visualized with our results, we were able to relate with data obtained from LIGO. A simple but thorough analysis is made. This work shows that the theoretical calculation is comparable with the observed data.