Question

what is black hole ?
How it effect the space time?

How it is formed?
Suppose Earth be aur black hole then what is swarzschild radius of Earth after be a blackhole.

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Answer 1

$\huge{\pink{\underline{\mathfrak{your\:answer}}}}$

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♣ $\bold{\underline{Black\:HOLE}}$

✍️A black hole is simply a region in the space which has humongous gravitational attraction, leading to the pulling of everything inside it present around it.

✍️ It is a place in space where even light cannot get out.

✍️ It is a place which can stop or wraps up space time around it.

✍️ Any radiatons whether its being electromagnetic or anything cannot pass through it.

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♣ $\bold{\underline{EFFECT\:ON\:SPACE\:TIME}}$

✍️ Black hole is so massive and spinning very fast, it wraps up the space time around it.

✍️ They have very high energy density which bends up the space time fabric around it.

✍️ It is being massive object and spinning, it causes spacetime to not only bend but to twist as well. 

✍️ Due to this, space time is shortened for someone who is around these black holes.

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♣ $\bold{\underline{FORMATION}}$

✍️ When very massive stars ( 25 times higher than our sun) collapse in the end of their life cycle, these stellar black holes are formed and they keep on growing by absorbing masses around it.

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♣ $\bold{\underline{SCHWARZSCHILD\:RADIUS}}$

✍️ The Schwarzschild radius is a physical parameter that shows up the relationship between the radius of any mass corresponding to horizon of a Schwarzschild black hole.

✍️ This radius is given by,

$\bold{\huge{\red{r_s\:=\:\frac{2GM}{c^2}}}}$

where,

'G' is 'Gravitational Constant'

'M' is 'Mass of the object'

and,

'c' is the 'speed of light in vaccum'.

✍️ When, our Earth is a black hole,

we know that,

Mass of earth, M = $6×{10}^{24}\:Kg$

speed of light, c = $3×{10}^{8}\:m{s}^{-2}$

and

Gravitational constant,G = $6.7×{10}^{-11}\:\frac{N{m}^{2}}{{kg}^{2}}$

Putting these values in the equation,

we get,

=> $\bold{r_s(Earth)\:=0.88\:cm}$

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Answer 2

$\huge\mathfrak{Black\:Hole}$

$<b><u>$

✒Space is a pretty dark place .Even so some areas are darker than others. Nothing is darker than a black hole A black hole .

✒A black hole is a place in a space where gravity pulls so much that even light cannot get out The gravity is so strong because matter has been squeezed a tiny space. This can happen when a star is dying .

✒Because no light can get out. They are invisible space telescope with special tools can help find black holes.

✒Black holes can be big or small .Scientists think that a smallest black hole are as small as just one atom. These black holes are very tiny but have the mass as a large mountain.

$\bold{How\:it\:affect\:the\:space \:time}$:-

✒When a black hole and star are close together high - energy light is made in space. This kind of light cannot be seen with human eyes .Scientist used satellite and telescope in space too see the high light energy..

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$\huge\mathfrak{How\:its\:formed}$:-

✒Scientist think the smallest black hole formed when the universe exist

✒Steller black holes are made when the centre of very big star falls it upon itself or either collapse .When this happen it causes supernova .A supernova is an exploding star that blast part of star into space

✒Scientist think supermassive black holes were made at a same time as a galaxy they are in.

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.✒.Earth will not fall into the black hole because no black hole is close enough to solar system for earth to do that

$\huge\mathfrak{swarzschild \:radius}$ :-

2(6.67 into 10 rays to power -8)mass/(2.998 into 10 rays to power 8) squared

$\huge\mathfrak{swarzschild\: radius\: of\: Earth}$ :-

=2(6.67 into 10 rays to power -11)5.97 into 10 rays to power 24 / (2.998 into 10 rays to power 8 )²

=.0.008 metres ....