On Tuesday, July 14, 2020 at 11:31:42 AM UTC-6, Brent wrote:
>
>
>
> On 7/14/2020 3:34 AM, Lawrence Crowell wrote:
>
> 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
>>
>
> I didn't say they lacked mass.  I said they lacked matter.  Thus 
> countering your assumption that gravity requires matter.
>
> Brent
>

I could have said that gravity requires mass/energy. What's the distinction 
between matter and mass? TIA, AG 

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>
> 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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