4) WAVE PLANET
I thought the time dilation effects of the first planet was very thought provoking, I loved it. However, I am pretty sure if you are close enough to a black hole to experience something like that you would be crushed to dust. Even if you got to the planet, you couldn't get off (the black hole's gravity). Plus fellas . . . that planet is probably very close to getting sucked into a black hole!!!
Time dilation due to gravity and is a very real thing that happens all of the time our GPS satellite network has to continually make time adjustments to account for not only their speed but for how from Earth's surface they are. Now, there, we're talking about fractions of a second but it needs to be done to keep the GPS network working correctly.
Orbiting a black-hole is one theoretical way to time-travel to the future as seconds on a ship may translate to days, months, or years on Earth. The ratio depends on the size of the black-hole and it certainly wouldn't be one hour=7 years, for it ti be that they'd need to be well past the event horizon.
On that, don't let crummy J.J. Abrams Star Trek movies confuse you. Black-holes don't "suck" things innto them anymore than Earth's gravity is "sucking" you to the surface. That's all a black-hole has is gravity. Stick your arm out, feel that tug? That's gravity, it's weak. But, if you were on Jupiter your arm would be (IIRC) 16 times heavier, taking more energy to lift it, further away from Jupiter you get, easier it us to lift your arm. Somewhere there's a point where your arm us 16x heavier in one side and 15.999...x hwavier on the otherside and for this example we'll say 16x is too much for you to lift. This is the event horizon fir our example.
When we're talking about black-holes everything from our example is increased by orders of ridiculous magnitude. Somewhere there is a point you can go 99.99999......% of the speed of light and still escape, go past that point and you are trapped, because nothing can go as fast ad, let alone fasrer than light other than light (and a smattering of metaphysical particles without mass.)
As long as you don't cross that line you're safe and a planet would orbit it as any planetary body would orbit any other stellar body.)
It should be noted that your head is pulled slightly less than your feet (further your head is older than your feet) since it's closer to a gravitational source. In a black-hole this effect is magnified by orders of magnitude. This would stretch you body out into long strings and ribbons of charged energy.
Black-holes may not suck, but being in one does