I am still confused by the apparent contradictions between the world line of an immortal Observer at a distance (~100 M km) from a collapsing stellar core (-> Black Hole) and the reworking of coordinates to include the Schwarzschild radius. The argument that an in-falling astronaut would pass through the Schwarzschild radius (or event horizon) may be mathematically consistent with the assumptions of GR, but does not seem to take into account significant cosmological facts: 1) from the perspective of our distant Observer, the core collapse slows down as it approaches the Schwarzschild radius and never crosses. 2) After a brief time (Observer perspective) the surface of the core is close enough to the Schwarzschild radius that Hawking radiation is produced and could be detected by the Observer. 3) The Observer notes that the universe is expanding and the measured temperature of the Cosmic Background Radiation (CBR) is dropping, with a subsequent reduction in received energy. At some point in the far future (one trillion years? 100 trillion years?) the Observer notes that the incoming CBR energy drops below the outgoing Hawking radiation energy. From that point on, the mass of the still collapsing core (Observer perspective) decreases. This results in a decrease of the Schwarzschild radius as well. Eventually the outgoing Hawking radiation becomes extreme and the core explodes in a massive shower of energy. If this simple analysis is true, no in-falling astronaut or rock would ever cross the Schwarzschild radius (event horizon) irrespective of coordinate changes. Please help me understand if/why this argument is flawed.