Re: A partial black hole?

On 2008-03-05, Jonathan L Cunningham <spam@[EMAIL PROTECTED]
> wrote:
> Suppose a very large black hole, where the acceleration due to
> gravity is 1 g at the event horizon.

There is no such thing.  Acceleration required to hover arbitrarily
close to the event horizon is unbounded.


> You seem to be saying that (c) is wrong. What am I missing?

The assumption you were working under is false.


> I get what you mean when you say "a geodesic is the path the
> maximizes proper time" and what you say (ISTM) does follow from it

It doesn't, actually.  A geodesic has the longest proper time between
two events, but not necessarily between an event and a point.

Though to be more picky still, a geodesic has only the *locally*
longest proper time.  A local maximum can fail to be a global maximum.
There are plenty of examples in GR where this is true.


- Tim