Bizarre Star Could Host a Neutron Star in Its Core
scientificamerican.com
scientificamerican.com
Edit: Not the original paper but a follow on how these stars would work, refuting other papers that said they were impossible :-)
The TL;DR:
Because the density of the neutron star and the Red Giant are so different (average Red Giant density is about the same density as water), the neutron star can keep a distinct structure/orbit for 1000 years or so. When it gets to the core, fusion occurs in a halo around the neutron star instead of through the normal sort of fusion you'd get in a Red Giant core. This leads to a different ratio of nuclear isotopes, which is how you can determine these objects aren't typical Red Giants.
The resulting objects survive around 70 million years before the neutron star core absorbs enough mass to turn into a black hole (one of the other linked papers in this thread had some discussion on how long they might be stable). However, the predicted rate of birth/death of these objects indicates there may be a few of these in the galaxy at any given time.
1. Super nova happens near a black hole. Stuff (including photons) that emanate with a speed and direction sufficient to overcome the escape velocity of the system will have happy sailing. Photons at the speed of light, massive stuff slowed down. The rest will be sucked into the hole. The result would be a directional burst that favors photons over massive material.
2. Same as saying that a neutron star falls into black hole.
This makes me want to see a simulation of this happening.