Análise dos sinais temporais e angulares das ondas gravitacionais de Teukolsky

Abstract

This work graphically analyzes the behavior of the axial modes of Teukolsky’s gravitational wave solutions, a linear and quadrupolar solution of Einstein’s field equations, using spherical harmonic tensors. Initially, a theoretical study of gravitational waves is presented based on the linearized Einstein field equations, addressing the propagation and properties of these waves, including their polarization states. Next, the specific Teukolsky solution is developed, focusing on the analysis of axial modes. The graphical analysis includes temporal evolution plots to observe the waveforms and Mollweide projections to identify the privileged radiation regions based on the angular variation of the propagation direction.