- #1

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1. Infinite density

2. Infinite mass

3. Volume

Also, based on the questions above, are naked singularities different to black hole singularities?

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- Thread starter jamesb-uk
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- #1

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1. Infinite density

2. Infinite mass

3. Volume

Also, based on the questions above, are naked singularities different to black hole singularities?

- #2

Nabeshin

Science Advisor

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1. Infinite density

2. Infinite mass

3. Volume

Also, based on the questions above, are naked singularities different to black hole singularities?

A singularity with infinite mass makes no sense, so #2 is a no.

#1 and #3 are saying the same thing, because infinite density is a finite amount of mass in a infinitesimal volume. This is the hallmark of gravitational singularities (such as those of a black hole).

- #3

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1. Infinite density

2. Infinite mass

3. Volume

Also, based on the questions above, are naked singularities different to black hole singularities?

The van Hove singularity satisfies

Zz.

- #4

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The van Hove singularity satisfiesnoneof the above description.

Zz.

What is the van hove singularity?

The reason I asked whether singularities have infinite mass was because I heard that black hole singulaities have infinite space-time curvature. This doesn't seem right to me, as if that were true, wouldn't that mean the gravitational attraction of a black hole is infinite.

- #5

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What is the van hove singularity?

The reason I asked whether singularities have infinite mass was because I heard that black hole singulaities have infinite space-time curvature. This doesn't seem right to me, as if that were true, wouldn't that mean the gravitational attraction of a black hole is infinite.

I'm sure you are able to do a search on this yourself.

Note that in your OP, you asked about ANY "singularity". There are a gazillion different types of "singularity", which simply means a quantity, ANY quantity, that diverges at certain values. I happen to have shown you one type of singularity in the electronic density of states.

Zz.

- #6

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If there was a singularity with infinite mass then all other particles in the universe would have infinite acceleration towards that singularity, which means that all stars and galaxies would be ripped to shreds in an infinitely small amount of time. The fact that I am alive and typing this message is therefore proof that no object in the universe has infinite mass.

- #7

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Exactly, that's why I couldn't understand the statement that singulariies have infinite space-time curvature.

- #8

Nabeshin

Science Advisor

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Exactly, that's why I couldn't understand the statement that singulariies have infinite space-time curvature.

I find the 2-D rubber sheet analogy to be a good method of resolving this.

http://cse.ssl.berkeley.edu/bmendez/ay10/2002/notes/pics/bt2lfS316_a.jpg

This site has three very good images showing various space-time curvatures of objects with the

*As per stellar evolution the masses of these three objects wouldn't be exactly the same, but they're close enough to illustrate the point.

- #9

diazona

Homework Helper

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Infinite curvature results from infiniteExactly, that's why I couldn't understand the statement that singulariies have infinite space-time curvature.

And of course, this has also been mentioned before, but a "singularity" is really a mathematical concept that has kind of been extended to physics; it basically just describes a point where something is infinite. Black holes are not the only kind of singularity, although they're probably the most commonly discussed among physicists.

- #10

diazona

Homework Helper

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This might be interesting: the actual equation from general relativity is

[tex]R^{\mu\nu} - \frac{1}{2}g^{\mu\nu}R = 8\pi T^{\mu\nu}[/tex]

(well that's one way of writing it, if you ignore the cosmological constant). This represents 16 equations, one for each pair of values of [tex]\mu, \nu = 0, 1, 2, 3[/tex] (although some of the 16 are the same). The important point is that all that junk on the left side is, roughly speaking, a measure of the curvature of spacetime (i.e. gravity), and [tex]T^{\mu\nu}[/tex] is proportional to the

- #11

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Caustics have infinite energy density. Conversely, wave dislocations have zero energy density.

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