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A black hole is a region of spacetime from which nothing can escape. More formally, the future light cone of any observer within the black hole is completely contained in the black hole, and the black hole region is not within the past light cone of any observer that goes to spatial infinity in an infinite amount of time.
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How would a photon act to the gravitational influence of a black hole which is attracting it...
If the photon has been emitted outside the black hole, directly away from the black hole, then the hole's gravity will not turn it back and it will escape to infinity. The only effect gravity will hav …
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Gravity's effects on photons moving away from source
For the first question: Sure, light emitted by a galaxy is affected by the gravitational redshift, but the effect is small and independent of the distance of the galaxy from us. (See also the question …