- #36
Dale
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I am not aware of any actual exploding white hole solutions, the usual white hole is the vacuum one that we have been discussing so there is no exploding involved. However, local energy conservation is built into the Einstein field equations, so any solution must locally conserve energy at every event in the manifold. The singularity itself is not part of the manifold.shlosmem said:So when the white hole explode it means that we get material out of vacuum which brings new quotations.
1. What about the energy preservation law ?
Hawking radiation is not a feature of the Maximally extended Schwarzschild solution.shlosmem said:2. As mentioned, black holes eventually disappearing dou to Hawking radiation, in other words the original mass that fails into the black hole find itself out as radiation energy. So in the reverse process this energy go in into the white hole and since energy is equivalents to mass, we must assume that the space geometric is not just a vacuum.
Unfortunately, many treatments of Hawking radiation are not rigorous and use an approach that mistakenly leads to problems like what you mention. Here is a paper which shows that if the black hole evaporates then it actually never formed in the first place:
https://arxiv.org/abs/1102.2609
So if you have mass which collapses, forms an apparent horizon, and evaporates, then there is no true event horizon at all, only the apparent horizon. Hence there is no evaporating black hole and the time reverse is not a white hole.