Do the black holes have infinite mass ?

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SUMMARY

Black holes do not possess infinite mass; rather, they have a finite mass concentrated at a singularity, which is theorized to have zero volume. This leads to the misconception of infinite density, as the mass is distributed over a non-zero volume in physical reality. The Schwarzschild black hole represents a vacuum solution to the Einstein field equations outside the event horizon, and the idea that the universe orbits a black hole is incorrect. Singularities, while prevalent in mathematical models, are believed not to occur in nature.

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  • Understanding of general relativity and Einstein field equations
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  • Knowledge of singularities in physics
  • Basic grasp of quantum physics and its implications on particle behavior
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kapoor_kapoor
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Do the black holes have infinite mass? If no then how can they have infinite density? Can we suppose that all the universe is orbiting a black hole (as heaviest masses bend the space time most) and loosing energy at some rate ?
 
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kapoor_kapoor said:
Do the black holes have infinite mass?

No.

kapoor_kapoor said:
If no then how can they have infinite density?
Who says they do? In some sense, the mass would all be concentrated at ##r = 0##, but within the event horizon, the radial coordinate is time-like so it does not really correspond to a distance inside the black hole. Outside of ##r = 0##, the Schwarzschild black hole corresponds to a vacuum solution to the Einstein field equations.

kapoor_kapoor said:
Can we suppose that all the universe is orbiting a black hole (as heaviest masses bend the space time most) and loosing energy at some rate ?
No. This is not how the Universe works.
 
kapoor_kapoor said:
Do the black holes have infinite mass?
No, and a quick google search would have given the same answer.
kapoor_kapoor said:
If no then how can they have infinite density?
If there is a singularity in the center as general relativity predicts, it has zero volume but a finite mass.
kapoor_kapoor said:
Can we suppose that all the universe is orbiting a black hole (as heaviest masses bend the space time most) and loosing energy at some rate ?
No we cannot, that does not make sense.
 
It is generally believe that singularities never actually occur in nature although they pop up all the time in mathematical equations used to describe physical laws. For example the electric field of an electron is expressed by <script class="js-extraPhrases" type="application/json"> { "lightbox_close": "Close", "lightbox_next": "Next", "lightbox_previous": "Previous", "lightbox_error": "The requested content cannot be loaded. Please try again later.", "lightbox_start_slideshow": "Start slideshow", "lightbox_stop_slideshow": "Stop slideshow", "lightbox_full_screen": "Full screen", "lightbox_thumbnails": "Thumbnails", "lightbox_download": "Download", "lightbox_share": "Share", "lightbox_zoom": "Zoom", "lightbox_new_window": "New window", "lightbox_toggle_sidebar": "Toggle sidebar" } </script> <div class="bbImageWrapper js-lbImage" title="latex.png" data-src="https://www.physicsforums.com/attachments/latex-png.200277/" data-lb-sidebar-href="" data-lb-caption-extra-html="" data-single-image="1"> <img src="https://www.physicsforums.com/attachments/latex-png.200277/" data-url="" class="bbImage" data-zoom-target="1" style="" alt="latex.png" title="latex.png" width="72" height="24" loading="lazy" decoding="async" /> </div> where R is the distance from the electron. The catch here is the electron is not a physically infinitesimal point, by the laws of quantum physics, it is smeared out over a finite volume of space so the distance 'R' can never actually be zero. Something very similar probably also applies to a black hole singularity. The finite mass of a black hole is smeared out over a phyically non-zero volume of space. Hence the density is never actually infinite in physical reality.. We cannot currently quantify the true volume of a black hole singularity. For more extensive discussion see http://www.askamathematician.com/2012/09/q-what-are-singularities-do-they-exist-in-nature/
 
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