On Monday, July 13, 2020 at 5:19:30 PM UTC-6, Lawrence Crowell wrote:
>
> On Monday, July 13, 2020 at 4:42:24 PM UTC-5, Alan Grayson wrote:
>>
>>
>>
>> On Monday, July 13, 2020 at 1:42:49 PM UTC-6, Alan Grayson wrote:
>>>
>>>
>>>
>>> On Monday, July 13, 2020 at 11:57:50 AM UTC-6, Brent wrote:
>>>>
>>>>
>>>>
>>>> On 7/12/2020 11:50 PM, Alan Grayson wrote:
>>>>
>>>> There can be because it's consistent with the equations.  A black hole 
>>>>> doesn't include any matter.  General relativity is non-linear, that's why 
>>>>> there can be non-flat cosmologies that contain no matter.  Of course 
>>>>> there 
>>>>> may be some different, better theory in which spacetime can't be curved 
>>>>> without matter...but it seems unlikely since we have good evidence that 
>>>>> gravitational waves exist.
>>>>>
>>>>> Brent
>>>>>
>>>>
>>>> Yes, good evidence that gravitational waves exist, but as far I know 
>>>> they're always associated with material interactions such as collisions of 
>>>> black holes. In the case of EM waves, I'd be more receptive of your claim 
>>>> that they can exist independent of charges and/or currents, but as far as 
>>>> I 
>>>> know there's no evidence of that. AG 
>>>>
>>>>>
>>>> But a collision of black holes does NOT involve matter.  Black holes 
>>>> (as far as the theory goes) are purely geometric things, i.e. made of 
>>>> empty 
>>>> space.
>>>>
>>>> Brent
>>>>
>>>
>>> How then does the BH at the center of our galaxy weigh in at 4 million 
>>> solar masses? AG 
>>>
>>
>> It's measured by observing the rotation rates of stars near the galactic 
>> core, and not so small by comparison with other BH's at the center of 
>> galaxies, called Super Massive BH's. AG 
>>
>
> It is unfortunately apparent that you are pretty highly confused by some 
> of this. You need to sit down and read a comprehensive book or text on GR 
> and related subjects. It is not going to be possible to clear this up with 
> dozens of email posts.
>
> LC 
>

In reviewing Wiki's article on the Equivalence Principle, I see the details 
there are not exactly what I stated. But it doesn't really matter, except 
possibly for a purist, in the sense that I was trying to see how Einstein 
could have inferred curvature of space-time from the EP, using the enclosed 
elevator example subject to uniform acceleration. What I wrote seems 
sufficient to my objective. I am not confused. AG

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