Are Black Holes Matter Sprinklers?

Are Black Holes Matter Sprinklers?

Are Black Holes Matter Sprinklers?

I think so. Since the spacetime is asymptotically flat, the ADM and Bondi masses are conserved. It doesn't matter whether you use ADM or Bondi, because gravitational radiation is negligible. Since the mass of the black hole can only increase, not decrease, it follows that the net mass emitted has to be less than the net mass infalling.

No energy is being created in any way from a black hole. There is nowhere that is creating mass, or equivalently, energy. The jets from the black holes result from accreting matter being blown out away long the axis of rotation (I'm being purposefully imprecise here. I'm not too terribly familiar with the phenomenon, and I'm not entirely certain even the experts have reached a conclusion) -- i.e. the phenomenon is completely external to the event horizon of the hole. It could equally well happen around a neutron star. So the only thing that is happening is matter falls in, gains kinetic energy, heats up and radiates through accretion, and then is blown out at high velocities poleward -- all a result of the potential energy the matter had before falling in.

While what I said before was based on physical intuition rather than calculations, I am almost certain it is true. The fact is that a large proportion of infalling matter will fall past the event horizon, and this alone is likely enough to compensate for any nuclear fusion that takes place and may spew out mass via the jets. At any rate, the net mass-energy of the infalling matter will decrease as some of it will ultimately be transmitted to the black hole or radiated away.

The mass and energy of the jets from a black holes poles don't have to equal the black holes mass. In fact it would be very unlikely for this to occur by chance. It all depends on how much gas/plasma gets pulled towards the black hole and forms an accretion disk. The jets don't really have anything to do with Hawking radiation. As the gas and plasma gets pulled into the black hole the magnetic field lines get all twisted, and when this happens it brings about the existence of the black holes polar jets. The jets come from the accretion disk, and not the black hole itself.

However by the time that a black hole evaporates the total Hawking radiation from the entire life of the black hole will have equaled the mass of the black hole.

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