When energy (in any of its forms) enters a black-hole, is that energy destroyed or absorbed?

Answer 1

When matter/energy (electrons, nuclei or photons) fall into a black-hole whole, their mass (or mass equivalence) is added to the that of the black-hole. As is any angular momentum (or charge).

The "no hair" theorem states that classical black holes only have three measurable properties: their total mass, their total angular momentum, and their total charge.

All other information is lost when material falls into a blackhole; its mass, angular momentum, and charge are added to the blackhole's.

The three net properties are all that we can know about the material's organization within the event horizon.

Keep in mind that most blackholes are thought to be nearly neutral because the majority of material that is added to them tends to have a low net charge.

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Answer 2

Declan Carroll

Energy entering a black hole is not destroyed but instead becomes part of the mass-energy content of the black hole, where it is absorbed and adds to its mass, increasing its gravitational pull.

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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.