stefanbanev said:
Summary: Does relativistic mass make a proportional gravitational effect on observer it flies by?
Does relativistic mass make a proportional gravitational effect on observer it flies by?
It winds up having more than a proportional effect, if one measures the effect by the velocity induced by the relativistic flyby. See for instance Olson, D.W.; Guarino, R. C. (1985). "
Measuring the active gravitational mass of a moving object". In the ultra-relativistic case, the moving mass induces nearly twice as much veloicty change as a slower-moving object with the same energy . ( Energy a synonym for relativistic mass that I greatly prefer to use).
Does 1 ton (resting 1 ton) of lead moving relatively observer at some speed close enough to C may appear as a micro black hole?
No. Whether an object is a black hole or not is a different question than asking how much velocity a relativistic flyby induces in an observer. Being a black hole is a frame-independent property, so an object that is not a black hole in it's rest frame is not a black hole in any frame.
What abort Hawking radiation in this case? Does it mean that we may convert any mass to energy via Hawking radiation simply by speeding up such mass fast enough? How relativistic mass contributes to total mass of observable universe? ~13.8+ billion light years away any proton must have ~infinite mass relatively Earth' observer; does it meant that universe has an infinite mass relatively Earth' observer?
The accretion disk of a black hole radiates much of the energy of infalling matter away before the matter reaches the black hole, without any need for hawking radiation, which is a tiny quantum effect.
Basically, as dust falls into the black hole, it speeds up, and collisions between the dust particles heat them up, causing them to radiate energy away.
To do this to an object effectivel, one might have to break it up into pieces, first, so the pieces can hit each other.
The "mass of the observable universe" isn't really well defined. One could come up with a coordinate dependent figure by insisting that one use the standard cosmological coordinates, but one wouldn't get the same number in other coordinates.