On Monday, July 13, 2020 at 3:42:24 PM UTC-6, Alan Grayson wrote:
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> On Monday, July 13, 2020 at 1:42:49 PM UTC-6, Alan Grayson wrote:
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>> On Monday, July 13, 2020 at 11:57:50 AM UTC-6, Brent wrote:
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>>> On 7/12/2020 11:50 PM, Alan Grayson wrote:
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>>> 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 
>

If you assume zero mass solutions in GR, or no charges or currents in EM, 
the solutions you get are expected; namely, that in regions of space or 
space-time which are vacuums, waves can propagate.  AG

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