On Monday, July 13, 2020 at 6:30:46 PM UTC-5, Alan Grayson wrote:
>
>
>
> 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 
>>
>
> About the EP; I merely stated that it demonstrates that acceleration is 
> locally indistinguishable from gravity, and then I stated what "locally" 
> means. This is what Wiki and other sources say.  Yet you say I am confused. 
> How so? About masses of BH's, I watch documentaries which feature 
> astrophysicists offering their opinions, and they *uniformly* claim that 
> BH's have mass. How could it be otherwise if they're remnants of massive 
> collapsed stars? Not one makes Brent's claim, that they're just geometric 
> manifestations.  AG
>

Black hole mass is a pure spacetime physics. There is no material stuff 
anyone can get their hands on. With the tortoise coordinate the distant 
observer might say the matter-fields that made of a black hole exist, but 
if one tried to reach them they always recede away. Black holes do not have 
mass in a standard sense, though they have an ADM mass defined by the 
curvature of spacetime.

LC 

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