Does anyone know asymmetric dynamic global solutions to Einstein eqs?

In summary: Thank you.In summary, the discussion centered around the existence of global solutions in general relativity, with a focus on the limitations and progress made in finding realistic physical configurations. Some members mentioned specific articles and researchers in this field, while others debated the definition of "realistic" in this context. The conversation was ultimately deemed off-topic and removed by a moderator.
  • #1
Heikki Tuuri
164
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https://link.springer.com/article/10.12942/lrr-2005-6

https://en.wikipedia.org/wiki/Exact_solutions_in_general_relativity

http://www.numdam.org/article/SEDP_1989-1990____A15_0.pdf

A moderator removed this off-topic discussion from another thread. Does anyone on the Physics Forums have expertise on the existence of global solutions of general relativity?

As you see, people have worked very hard for 104 years to prove existence theorems. As far as I know, they are all limited to small perturbations of highly symmetric solutions.

Can anyone point to research that might have progressed closer to realistic physical configurations?
 
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  • #2
Heikki Tuuri said:
Can anyone point to research that might have progressed closer to realistic physical configurations?
Part of the problem (the main problem) was your personal and overly restrictive view of what constituted a realistic physical configuration. For example, you objected to the FLRW solution as being unrealistic whereas most scientists and particularly cosmologists consider it realistic.
 
  • #3
Heikki Tuuri said:
As you see, people have worked very hard for 104 years to prove existence theorems. As far as I know, they are all limited to small perturbations of highly symmetric solutions.
That is not true. Global existence (as in the maximal hyperbolic Cauchy development) is a result from 1969 (Choquet-Bruhat, Geroch). What is limited is the understanding of those solutions.
Can anyone point to research that might have progressed closer to realistic physical configurations?
What do you mean by realistic physical configuration?
 
  • #4
Heikki Tuuri said:
A moderator removed this off-topic discussion from another thread.

Which is completely irrelevant to this thread. Please do not carry over whatever issue you might have with the moderators in a previous thread to new threads.
 

1. What are asymmetric dynamic global solutions to Einstein equations?

Asymmetric dynamic global solutions to Einstein equations refer to solutions that describe the behavior of matter and energy in a non-symmetric way, taking into account the effects of gravity. These solutions are used in the field of general relativity to study the dynamics of the universe on a large scale.

2. How are these solutions different from symmetric solutions?

In symmetric solutions, the matter and energy distribution is assumed to be symmetrical, meaning that it is the same in all directions. However, in asymmetric solutions, the matter and energy distribution can vary in different directions, allowing for a more realistic depiction of the universe.

3. What is the significance of studying asymmetric dynamic global solutions?

Studying asymmetric dynamic global solutions can help us understand the behavior of the universe on a large scale, including the formation of galaxies, the evolution of the universe, and the effects of dark matter and dark energy. These solutions also provide insights into the nature of gravity and its role in shaping the universe.

4. How are these solutions calculated?

Asymmetric dynamic global solutions are calculated using mathematical equations known as the Einstein equations, which describe the relationship between the curvature of space-time and the matter and energy distribution in the universe. These equations are solved using numerical methods and computer simulations.

5. Are there any real-world applications of these solutions?

While asymmetric dynamic global solutions are primarily used in theoretical physics and cosmology, they also have practical applications. For example, they are used in the design of space missions and in developing technology for detecting gravitational waves. Additionally, these solutions can help us gain a better understanding of the universe and potentially lead to new discoveries and advancements in science and technology.

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