On 7/23/2020 4:41 AM, Lawrence Crowell wrote:
On Thursday, July 23, 2020 at 5:56:32 AM UTC-5 [email protected] wrote:



    On Saturday, July 18, 2020 at 6:31:23 AM UTC-6, Alan Grayson wrote:



        On Saturday, July 18, 2020 at 6:18:28 AM UTC-6, Lawrence
        Crowell wrote:

            The tortoise coordinates is found from the Schwarzschild
            metric

            ds^2 = (1 - 2m/r)dt^2 - (1 - 2m/r)^{-1}dr^2 - r^2dΩ^2

            where for a signal leaving a point near the black hole
            with ds = 0 (null path) and propagating radially out, dΩ =
            0, we have dt = dr/(1 - 2m/r) which then leads to

            T = t - t0 - 2m ln|r - 2m|.

            That is the tortoise coordinate. Please look this up to
            read further. I can't spend beaucoup time going over this
            for weeks to come.

            LC


        You don't have to. We're done.  But you should IMO address
        Brent's objection, maybe on another thread. AG


I don't know what objection you're referring to.  LC is just showing why it takes a distant observer forever to see an infalling object reach the event horizon of a black hole.

Brent


    When it comes to GR, you're a genius; no question about it. I
    wouldn't want to waste your valuable time. But consider this; the
    Schwartzschild metric applies to NON-ROTATING masses. Do you
    really think a massive contracting star which forms a BH will be
    non-rotating? Obviously, it will be RAPIDLY rotating, like an ice
    skater who contracts her arms. Brent also had some substantive
    questions about your model. But I see you prefer your illusions
    than to address his objections. AG


The result is similar, but more complex. The same calculation can be done for the Kerr solution. It is just a lot more complicated mathematically.

LC
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