What are the equations explaining the mass of singularities?

In summary, the conversation discussed the concept of singularities and how their mass is determined. It was mentioned that their mass is simply the amount of matter that has fallen into it, based on the principle of energy conservation. However, since singularities have no volume, traditional methods for calculating mass, such as multiplying density by volume, do not apply. This is where the concept of a singularity breaks down and the math no longer works. It was suggested that using more general mathematical structures, such as distributions, could potentially resolve this issue.
  • #1
Quds Akbar
124
6
What exactly are the equations explaining why a singularity's mass is the way it is?
 
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  • #2
There are no equations "explaining" anything.
Assuming singularities exist (we don't know), their mass is simply given by the amount of stuff that fell into it. This is energy conservation.
 
  • #3
But since it's density exists and it has no volume then it's mass should exist by multiplying the density by volume but then the mass would be undefined, so is there any other way to describe it that is not an empty set ∅≠(0).
 
  • #4
The mass is not found by multiplying the density by the volume. You can't do it. That's what it's called a singularity. It's the point where the math stops working.
 
  • #5
Density as a concept works for extended objects, but not for things with no volume like a singularity or a point particle. One does not talk about the density of a singularity just as one does not talk about the density of one single electron.
 
  • #6
So the technically peace breaks math and physics, because infinity divided by 0 should give us zero but that doesn't work. So math breaks down at this point, thanks, that was the answer I was looking for.
 
  • #7
Well, you can go from functions to distributions (more general structures compared to functions), where those things can get fixed in mathematics.
 

1. What is the equation for calculating the mass of a singularity?

The equation for calculating the mass of a singularity is known as the Schwarzschild radius, and is expressed as M = (2GM)/c2, where M is the mass, G is the gravitational constant, and c is the speed of light.

2. How does the mass of a singularity affect its gravitational pull?

The mass of a singularity directly affects its gravitational pull. As the mass increases, the gravitational pull also increases, making it more difficult for objects to escape the singularity's gravitational field.

3. Can the mass of a singularity change?

The mass of a singularity is considered to be constant. However, some theories suggest that the mass of a singularity may increase over time as it absorbs more matter and energy.

4. Are there any other equations that explain the mass of singularities?

While the Schwarzschild radius is the most commonly used equation to calculate the mass of singularities, there are other equations, such as the Kerr metric and the Reissner-Nordström metric, that take into account additional factors, such as rotation and charge.

5. How do singularities with different masses behave differently?

Singularities with different masses behave differently in terms of their gravitational pull and their effects on surrounding matter and space-time. Generally, the larger the mass of a singularity, the stronger its gravitational pull and the more significant its effects on its surroundings.

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