Re: More on the controversy about the Schwarzschild radius and black holes.
- From: Tom Roberts <tjroberts137@xxxxxxxxxxxxx>
- Date: Mon, 14 May 2007 14:26:40 GMT
LEJ Brouwer wrote:
Imagine that I am initially sitting at the origin (i.e. the centre of
spherical symmetry) when the stars start accelerating radially towards
me. At the time that the stars converge at their Schwarzschild radius
to form the event horizon, then according to the form of the interior
solution, the stars don't appear to cross the event horizon and pile
in towards me because the interior of the event horizon in which I am
sitting has a spatial spherical symmetry which is not reflected in the
form of the interior Schwarzschild solution. Rather, the solution in
which I am sitting, which is interior to the event horizon, is just a
standard Schwarzschild exterior solution since it is a spherically
symmetric vacuum solution with insufficient mass to form a black hole.
When those infalling stars reach the event horizon corresponding to their total mass+energy, an horizon forms there. At all times, between the outer edge of the stars and spatial infinity, the manifold is Schwarzschild. This remains true as the stars continue falling inward after the horizon, and a finite time after they cross the horizon, they will intersect you at the center and the resulting singularity will annihilate both you and them. You will get no warning of impending doom, because the metric at your location remains flat until the stars arrive.
You have so many misconceptions about this, you must STUDY. I suggest:
K.Thorne, _Black_Holes_and_Time_Warps_. Then, perhaps,
you will be ready for a real textbook.
Tom Roberts
.
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