Non-Vacuum Solutions for Black Hole Evaporation and Quantum Gravity

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In summary, the conversation discusses the existence of a symmetric non-vacuum solution of Einstein's equations that includes the radiating of matter from a central mass, in the context of black hole evaporation. It is suggested that the Schwarzschild solution with small perturbation may be a good approximation, but a more exact solution cannot be vacuum and static due to the changing behavior at strong field regions. The conversation also mentions resources for learning more about such solutions and raises a question about the validity of using Eddington-Finkelstein coordinates with a variable mass.
  • #1
Tomas Vencl
Although the complete quantum gravity is unknown as the exact details of black hole evaporating, is there known some symmetric non vacuum solution of E. equations which includes radiating of matter from central mass ? One can say, that Schwarzschild solution with small perturbation is good enough (as the Hawking radiation is weak), but if BH evaporates, exact solution can not be vacuum and static (which can be connected with extremely different behavior at strong field regions) .
Thanks for some links to learn more about such a solutions .
 
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  • #3
Thanks.
I think undertsand the deriving Eddington-Finkelstein coordinates (eq. 1-5), then at the equation 6 they put M=constant to M(u).
But I do not understand how can be still correct derivative of equation 2 (and next steps) when now M is function u ?
Sorry for this stupid question.
 

1. What are non-vacuum solutions for black hole evaporation?

Non-vacuum solutions for black hole evaporation refer to theoretical models that take into account the effects of matter and radiation on the evaporation process of black holes. These solutions aim to explain how black holes lose mass and energy through the emission of particles and radiation.

2. How do non-vacuum solutions differ from the Hawking radiation theory?

While the Hawking radiation theory assumes a vacuum environment where no matter or radiation is present, non-vacuum solutions consider the effects of matter and radiation on black hole evaporation. These solutions also take into account the backreaction of the emitted particles on the black hole's mass and energy.

3. What is the importance of studying non-vacuum solutions for black hole evaporation?

Studying non-vacuum solutions for black hole evaporation can help us gain a better understanding of the complex processes involved in black hole physics, such as the interplay between gravity and quantum mechanics. These solutions also have implications for our understanding of the origin and fate of black holes in the universe.

4. Are there any experimental or observational evidence for non-vacuum solutions?

Currently, there is no direct experimental or observational evidence for non-vacuum solutions for black hole evaporation. However, some theoretical predictions from these solutions, such as the possible existence of remnants or remnants of remnants after black hole evaporation, have yet to be ruled out.

5. How do non-vacuum solutions contribute to the development of a theory of quantum gravity?

Non-vacuum solutions play a crucial role in the search for a theory of quantum gravity, as they provide insights into the behavior of matter and radiation in the extreme conditions near black holes. These solutions also offer potential ways to reconcile the seemingly contradictory theories of general relativity and quantum mechanics.

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