December 29th, 2002, 12:18 am
>What I am curious about, is there a minimum size for these spherical event horizons?for a spherically (spherical symmetry) non-spinning black hole, we can use the Schwarzhild metric (the beautiful closed form solution to Einstein’s field equations) to find the event horizonDT^2=(1-2M/r)dt^2-dr^2/(1-2M/r)-r^2dp (timelike form)The Schwarzhild horizon (event horizon) we will have at the reduced circumference r=2M, where M is the mass measured in for example meters (for example the mass of the sun is about 1477 meters, the earth only 0.44 cm). However the even horizon is not a singularity (point), we only have a real singularity in r=0. For a spinning Black-Hole it is more difficult to calculate the event horizon.>I imagine people predict these things occur in collapsing stars, and so generally have a lot >of mass. Is there any other way one can form?The more massive a black hole is the smaller it’s density (?) if we had a black hole of billions of solar masses the density would be much less than for example water. It is even a small probability our universe is inside a gigantic black hole ? According to Kip Thorne at about a distance of 10 billion light years the amount off mass could be big to have gravity enough to stop light from escaping, that would be a black hole. However it looks like our universe is expanding which is against the predictions of a gigantic black hole. Inside a black-hole everything would crush to a singularity a zero point. However this could be the end of our universe, the universe likely started in a singularity (without time and space) and will possibly return to a singularity.Nothing that is inside the event horizon can ever escape (well never say never), so no signals from the inside of the black-hole can reach us, this is almost like LTCM, when the money first got inside the investment horizon the cash could never get out again.>Black holes are just points, right?Only if you have a naken singularity. But non-trivial naken singularities (without event horizon) is very very unlikely as I understand it.Stephen Hawking:"If there are non-trivial singularities which are naked, i.e., which can be seen from infinity, we may as well all give up. One cannot predict the future in the presence of a space-time singularity since the Einstein equations and all the known laws of physics break down there. This dose not matter so much if singularities are all safely hidden inside black holes but if they are not we could be in for a shock every time a star in the galaxy collapsed"
Last edited by
Collector on December 28th, 2002, 11:00 pm, edited 1 time in total.