We investigate the wave properties for isothermal plasma state around to the de Sitter black hole’s horizon using 3+1 split of spacetime. The corresponding Fourier analyzed perturbed perfect GRMHD equations are used to obtain the complex dispersion relations. We obtain the real values of the wave number k, from these relations, which are used to evaluate the quantities like phase and group velocities etc. These have been analyzed graphically in the neighborhood of the horizon.
We investigated the circumnuclear region of the Seyfert 2 galaxy NGC 5728, using the CFHT 3.6 m OASIS [S ΙΙ], [O ΙΙΙ] & Hβ, spectral images complemented with the IUE spectra. The physical condition of the circumnuclear zone has been derived: the gas density (indicated by [S ΙΙ]6716/31 ratio) around the C core is generally similar to that around the NW core, i.e., ~ 500 cm-3. However, there appears to be evidence of a higher density shell in front of the NW core, ~ 104 cm -3 at -250 km s-1. The IUE Si ΙΙΙ]1892/C ΙΙΙ]1909 ratio implies a possible presence of a broad emission region of gas densities of ~1010 cm-3. The SE cone and surrounding area show several prominent features, while the NW cone does not show any particular structure: we identified three prominent blobs in the SE cone and one possible candidate in the NW cone. The outflow activities exist within the relatively large conic opening angle. We discussed the possibility of inflow or outflow activities of blobs found in the circumnuclear region of NGC 5728. The gas around two cores, two cones, and several blobs, is likely to be excited by the AGN hot source(s).