Black Holes: Mass, Schwarzschild Radius & Size

In summary, a black hole has a size defined by its event horizon, but determining its actual volume can be complicated due to spacetime curvature. A singularity, if it exists, has no size. The term "black hole" refers to the entire volume inside the event horizon and can have a radius, surface area, and volume. Non-rotating black holes are perfect spheres while rotating black holes can be distorted into oblate spheroids. Additionally, the singularities of different types of black holes can have different dimensions.
  • #1
goldsax
51
0
If a black hole is a stellar structure that has collapsed on itself to a singularity does that mean it has no size? But is so defined by its mass and schwarzschild radius?
Cheers
 
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  • #2
The black hole has a size defined by the event horizon. The actual volume and such is a bit more complicated to determine due to spacetime curvature I believe. A singularity, IF it exists at all, would have no size.
 
  • #3
Current physical theory is unable to accurately describe what is going on inside the event horizon of a black hole. Quantum theory and general relativity don't mesh, and they both come into play.
 
  • #4
The thing to realize is that the term 'black hole' doesn't mean: 'the bit at the center where all of the mass is concentrated, that may or may not be a singularity'.

'black hole' refers to the whole volume inside the event horizon, which clearly can have a radius, surface area and volume.

my understanding is that non-rotating black holes are perfect spheres with a radii equal to their Schwarzschild radius, and that rotating black holes are distorted into oblate spheroids, as are most rotating stellar objects.
 
  • #5
Drakkith said:
The black hole has a size defined by the event horizon. The actual volume and such is a bit more complicated to determine due to spacetime curvature I believe. A singularity, IF it exists at all, would have no size.

A Schwarzschild black hole singularity is a mathematical point, yes, and so is a Nordström black hole singularity. But Kerr and Newman black hole singularities are one dimensional - they have no thickness, but they have circumference, radius etc.
 
  • #6
How can it be one dimensional with a circumference and a radius? does that make it 2 dimensional?
 

What is the mass of a black hole?

The mass of a black hole is an important characteristic that determines many of its properties. It is the amount of matter contained within the black hole's event horizon, which is the point of no return for anything that enters the black hole. The mass of a black hole is typically measured in terms of solar masses, with one solar mass being equal to the mass of our Sun.

What is the Schwarzschild radius of a black hole?

The Schwarzschild radius is the distance from the center of a black hole at which the escape velocity is equal to the speed of light. It is named after the German physicist Karl Schwarzschild who first calculated it. The Schwarzschild radius is directly proportional to the mass of the black hole - the larger the mass, the larger the Schwarzschild radius.

How does the mass of a black hole affect its size?

The mass of a black hole directly determines its size. The larger the mass, the larger the black hole's event horizon and therefore the larger the black hole's size. This means that a black hole with a mass of 1 solar mass will have a smaller size compared to a black hole with a mass of 10 solar masses.

What is the relation between the mass and the Schwarzschild radius of a black hole?

The mass and the Schwarzschild radius of a black hole are directly related. The Schwarzschild radius is proportional to the mass of the black hole, with a proportionality constant of 2GM/c^2 (where G is the gravitational constant and c is the speed of light). This means that as the mass of the black hole increases, so does its Schwarzschild radius.

Can a black hole's mass and Schwarzschild radius change?

Yes, a black hole's mass and Schwarzschild radius can change over time. As a black hole consumes matter and energy, its mass will increase and therefore its size (Schwarzschild radius) will also increase. Additionally, black holes can merge with other black holes, which can change their mass and size. However, the Schwarzschild radius of a black hole will always be directly proportional to its mass, even as they change.

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