Schwarzschild Radius - The Incredible Truth
Schwarzschild Radius : Radius of a Black Hole
The Schwarzschile radius is very much related to black-hole
concepts. According to the Schwarzschild’s theorem any object or more
specifically any mass has the potential to become a black hole. The
“Schwarzchild radius” explains this concept more effectively and briefly.
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Karl Schwarzschild was a German physicist and astronomer |
When a non-rotating and electrically neutral body or rather
a star suffers from a complete gravitational collapse, the body will eventually
collapse to a size in which its own gravitational pull is great enough to retain
the light rays itself. This critical size is known as the Schwarzschild radius.
THEORY: Theoretically, any mass can become a black hole if
it collapses down to the Schwarzschild radius. But if a mass is over some
critical value between 2 and 3 solar masses and has no fusion process to keep
it from collapsing, then gravitational forces alone make the collapse to a
black hole surely. Using a very simple equation, one can determine what is the
radius would be for any object of mass.
EQUATION:
RSchwarzschild
= 2MG / C2
Where,
RSchwarzschild =
Schwarzschild radius
M = mass of the object
G = Gravitational force
C = speed of light = 3 * 108 m/s
THEORETICAL EXAMPLES:
a)
A mass similar to that of Mt. Everest would have
a Schwarzschild radius of approx 3.0e – 13 meters, which is smaller than the
size of a single atom.
b)
Planet Earth has a critical radius that is
approx the size of a peanut.
If these objects collapsed to these sizes, both objects
would create an infinite curvature in space-time and that is the concept of a
black hole. The Schwarzschild radius or event horizon just marks the radius of
a sphere or a black hole from which we can get no particles, no light and not a
single information.
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