Abstract:
More recent literature reviews point out that most galaxies, especially early type galaxies
with Active Galactic Nuclei (AGNs), contain Massive Black Holes (MBHs) considered to be
comparable to the masses of high redshift quasars to the evolution of early galaxies. Some of
these sources seem to accrete matter at a very high rate as reported. As a result it is believed
that Electromagnetic (EM) spectrum observations are required to provide information on
black holes in the centers of active galaxies. On the other hand, Gravitational Wave (GW)
observations are considered to provide the complementary information about the capture
of particles including compact objects like Black Holes (BHs) that are mostly invisible to
EM observations. Thus, the astrophysical study of AGNs in its full relativistic effect is
active and fresh research. For example, the efficient mechanisms to describe the energy
- momentum and particles flow of the accretion system that could be exploited to match
observations are important and open to research. Motivated by this, we were proposing
to study on the dynamics of accretion flow around AGNs. The method we used to derive
relevant dynamical parameters from the Lagrangian and Hamiltonian of general relativistic
(GR) particle geodesy in the Schwarzschild - de Sitter (SdS) geometry where the classical
analogy is adopted by the correspondence principle (CP). The analytically derived equations
were used to generate numerical values computationally, where the results discussed and
summarized to remark for observational validity
