Does anyone know asymmetric dynamic global solutions to Einstein eqs?

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Discussion Overview

The discussion centers on the existence of asymmetric dynamic global solutions to the Einstein equations in general relativity. Participants explore the limitations of current existence theorems and seek research that addresses more realistic physical configurations, particularly in the context of cosmology.

Discussion Character

  • Debate/contested
  • Exploratory
  • Technical explanation

Main Points Raised

  • One participant references various academic sources and questions the existence of global solutions beyond small perturbations of symmetric solutions.
  • Another participant challenges the notion of what constitutes a realistic physical configuration, specifically objecting to the dismissal of the FLRW solution.
  • A different participant asserts that global existence results have been established since 1969, but acknowledges that understanding of those solutions remains limited.
  • There is a request for clarification on what is meant by "realistic physical configuration," indicating differing interpretations among participants.

Areas of Agreement / Disagreement

Participants express differing views on the definition of realistic physical configurations and the status of existence theorems in general relativity. The discussion remains unresolved, with multiple competing perspectives present.

Contextual Notes

Limitations include varying definitions of "realistic physical configurations" and the ongoing debate regarding the applicability of established existence theorems to asymmetric solutions.

Heikki Tuuri
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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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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.
 
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?
 
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.
 

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