How does a black hole affect space?

Answer 1

in a unique way

A black hole has an event horizon which is a surface of radius equal to #2GM/c^2#, the Schwarzschild radius, passed which the metric changes sign. Space and time are exchanged.

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Answer 2

Leah Abbate

A black hole's enormous gravitational pull causes the spacetime around it to be distorted, changing the paths of nearby objects and preventing anything from escaping beyond the event horizon, including light.This is how a black hole affects space.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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