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## Main Question or Discussion Point

I noticed that the Schwarzchild Radius Formula and the Escape Velocity Formula are actually identical. The Schwarzchild Radius is supposed to be one of the great equations generated from Relativity, while the Escape Velocity is something that was generated just using Newtonian gravity. All you need to do is plug in the speed of light as your escape velocity and you get the Schwarzchild Formula. My question is, historically speaking was Schwarzchild actually derived from Relativity or not?

Schwarzchild Radius:

r = (2 G M)/c^2 |

r | event horizon radius

M | mass

G | Newtonian gravitational constant (≈ 6.674×10^-11 m^3/(kg s^2))

c | speed of light (≈ 2.998×10^8 m/s)

Escape Velocity:

v = sqrt((2 G m)/r) |

v | speed

m | mass

r | radius

G | Newtonian gravitational constant (≈ 6.674×10^-11 m^3/(kg s^2))

Schwarzchild Radius:

r = (2 G M)/c^2 |

r | event horizon radius

M | mass

G | Newtonian gravitational constant (≈ 6.674×10^-11 m^3/(kg s^2))

c | speed of light (≈ 2.998×10^8 m/s)

Escape Velocity:

v = sqrt((2 G m)/r) |

v | speed

m | mass

r | radius

G | Newtonian gravitational constant (≈ 6.674×10^-11 m^3/(kg s^2))