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Black Holes And Cosmology

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Posted by Yanniru/">Yanniru on May 24, 1999 16:53:26 UTC

The classical solution for a black hole in the theory of General Relativity indicates that the time coordinate of 4-D space-time becomes the radial coordinate within the horizon of the black hole. That is, time as we know it no longer exists. In fact, if we examine the time coordinate just outside the horizon, we find that it goes into the infinite future. That is why our observation of an object entering the horizon goes on indefinitely into the future. It just becomes increasingly more difficult to observe the object as time goes on.

Now consider extrapolations of the same solutions for the Theory of General Relativity for the early universe. As we extrapolate backwards in time there comes a point where the density of the universe, on paper, is sufficient for it to be a black hole, long before we get to the 10**-34 sec regime where the strong forcesedly split from the electro-weak force. The difference between the early universe and a black hole is that the black hole has a central concentration of mass with lots of space around it; whereas the early universe is a uniform distribution of mass under rapid expansion with no space around it. The mass fills all space but the volume of the space is unknown.

My question is, if you cannot define time in the ordinary sense inside a black hole, how is it defined in the early universe?

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