Do the black holes have infinite mass ?

[kapoor_kapoor]

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 ?

 

[Orodruin]

Do the black holes have infinite mass?

No.

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.

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.

 

[mfb]

Do the black holes have infinite mass?

No, and a quick google search would have given the same answer.

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.

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.

 

[Chronos]

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 $$<script class="js-extraPhrases" type="application/json"> { "lightbox_close": "Close", "lightbox_next": "Next", "lightbox_previous": "Previous", "lightbox_error": "The requested content cannot be loaded. Please try again later.", "lightbox_start_slideshow": "Start slideshow", "lightbox_stop_slideshow": "Stop slideshow", "lightbox_full_screen": "Full screen", "lightbox_thumbnails": "Thumbnails", "lightbox_download": "Download", "lightbox_share": "Share", "lightbox_zoom": "Zoom", "lightbox_new_window": "New window", "lightbox_toggle_sidebar": "Toggle sidebar" } </script> <div class="bbImageWrapper js-lbImage" title="latex.png" data-src="https://www.physicsforums.com/attachments/latex-png.200277/" data-type="image" data-lb-sidebar-href="" data-lb-caption-extra-html="" data-single-image="1" > <img src="https://www.physicsforums.com/attachments/latex-png.200277/" data-url="" class="bbImage" data-zoom-target="1" style="" alt="latex.png" title="latex.png" width="72" height="24" loading="lazy" decoding="async" /> </div>$$ 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/