Abstract :
The properties of exact relativistic spacetimes of a Schwarzschild black hole surrounded by annular thin discs obtained by inversion of the first ten members of the counter-rotating Morgan–Morgan class are studied. Effects of the discsʹ own gravity are compared, in particular the induced deformation of the horizon and changes in the features of free circular motion in the disc plane. Within the plane of the two relevant parameters of the composite solution (relative disc mass and its inner radius), regions are specified where the discs satisfy basic physical requirements (energetic conditions and possibility, subluminality and stability of circular geodesics in terms of which they are interpreted). In contrast to the first inverted Morgan–Morgan disc, treated in previous papers, the ʹhigherʹ members of the family have to be placed farther and farther from the hole in order to remain stable when their mass is increased from zero.
Keywords :
Phosphorus Nucleophiles , Nitrobenzyl , sp2 Carbons , Cumyl , Photostimulated Reactions , Geminal Dihalides , sp3 Carbons , Heterocyclic Analogues , Regiochemistry , Alicyclic Aliphatic Substrates , stereochemistry , Triorganylstannyl , Aliphatic Substrates , Carbonylation , EWG , Neopentyl , (alpha)Carbon , Cycloalkyl Halides , Nitroalkanes , Carbanions , Nitrogen Nucleophiles , Oxygen , Sulfur Nucleophiles , Radicals Intermediates , Trihalides
