Objects collapsing to black holes

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SUMMARY

This discussion centers on the nature of black holes, specifically their density and energy generation. It clarifies that black holes are solutions to Einstein's equations, characterized by a delta-function mass distribution, leading to infinite density at the singularity. The pragmatic approach defines black holes by their event horizon, where density can be calculated by dividing mass by the volume enclosed, resulting in potentially finite values. The conversation also addresses misconceptions about black holes supplying infinite energy, emphasizing that they are created from finite energy inputs.

PREREQUISITES
  • Understanding of Einstein's equations in general relativity
  • Familiarity with the concept of event horizons
  • Basic knowledge of delta-function mass distributions
  • Concept of singularities in physics
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  • Research the mathematical implications of Einstein's equations on black hole formation
  • Explore the properties and significance of event horizons in black hole physics
  • Study delta-function mass distributions and their applications in theoretical physics
  • Investigate the nature of singularities and their role in modern cosmology
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Astrophysicists, theoretical physicists, and students of general relativity seeking to deepen their understanding of black hole properties and behaviors.

snackster17
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Im going to keep this very concise, mainly because i vaguely understand what I am discussing but anyways, as most informed people are aware black holes have an infinitely strong pull at their singularity and can even inhibit light.
I am curious as towards the actual phenomena or reasons how an object with finite density could generate endless energy. Does it just contract until it makes a fold in spacetime?

To expatiate on that, what is the circumference or the pinnacle distance of gravitational effects emitted from the black hole if any. input would be very appreciated
 
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snackster17 said:
I am curious as towards the actual phenomena or reasons how an object with finite density could generate endless energy. Does it just contract until it makes a fold in spacetime?

To speak of the density of a black hole is to invite confusion. Really, there are two routes one can go for discussing the density of such an object.

1. The mathematical route. As I described in a recent thread, a black hole is really a solution to Einstein's equations with a delta-function mass distribution -- that is, a point particle. Since points occupy zero volume, their density is infinite. This is perhaps the more correct of the two approaches, but it gives us very little information so most of the time we opt for the second result:

2. The pragmatic. A black hole is defined best by a single length scale: the size of its event horizon. I'm sure you know about event horizons, but it bears repeating that there is nothing pathological or physical about the horizon itself -- it is a mathematical boundary in spacetime. So usually when we talk about density we divide the total mass of the hole by the volume enclosed by the event horizon, thus yielding a finite number. And indeed, this density can actually be made arbitrarily small by increasing the mass of the hole!

As far as the endless energy part, I'm not entirely sure what you mean by this. What makes you say a black hole is capable of supplying an infinite amount of energy? Certainly, a finite amount of energy goes into creating the object!
 
Singularities are mathematical artifacts, IMO. Infinite density is not required to generate an event horizon.
 
thanks
 

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