Nonlinear vs. chaotic spacetime

Click For Summary
SUMMARY

General relativity predicts nonlinear spacetime but does not predict chaotic spacetime. The Einstein field equation is nonlinear, meaning that the sum of two different solutions does not yield another solution. The discussion highlights the "mixmaster universe," a specific solution of the Einstein field equation that is believed to exhibit chaotic behavior, as detailed in the paper "A chaotic Farey tale" by Neil Cornish and Janna Levin.

PREREQUISITES
  • Understanding of general relativity and the Einstein field equation
  • Familiarity with nonlinear dynamics in physics
  • Knowledge of chaotic systems and their characteristics
  • Basic comprehension of spacetime concepts
NEXT STEPS
  • Research the implications of nonlinear spacetime in general relativity
  • Study the characteristics of chaotic systems in physics
  • Explore the "mixmaster universe" and its significance in cosmology
  • Read the paper "A chaotic Farey tale" by Neil Cornish and Janna Levin
USEFUL FOR

Physicists, cosmologists, and students of general relativity interested in the complexities of spacetime and chaos theory.

Loren Booda
Messages
3,108
Reaction score
4
Is it accurate that general relativity may predict nonlinear but not chaotic spacetime?
 
Physics news on Phys.org
I don't know what a nonlinear spacetime is. The Einstein field equation is nonlinear in the sense that two different spacetimes, although each a solution of the equation, their sum would not be a solution.

There is a spacetime which is solution of the Einstein field equation which is believed to be chaotic:
The mixmaster universe: A chaotic Farey tale
Neil Cornish, Janna Levin
http://arxiv.org/abs/gr-qc/9612066
 
atyy,

You answered my question quite well. Thank you.
 

Similar threads

Undergrad About the notion of non-standard inertial frame
  • · Replies 22 ·
Replies
22
Views
2K
Undergrad Theoretically, can perfectly flat spacetime exist in the Universe?
  • · Replies 31 ·
2
Replies
31
Views
3K
Undergrad Derive the Lorentz transformation in Minkowski four-dimensional spacetime spacetime
  • · Replies 8 ·
Replies
8
Views
761
High School Does Spacetime Have Physical Existence?
  • · Replies 58 ·
2
Replies
58
Views
4K
Undergrad What is the characteristic of a system that turns it into a chaotic system?
  • · Replies 11 ·
Replies
11
Views
1K
Undergrad Reconciling smooth spacetime with variable, rotating, earth gravity
  • · Replies 4 ·
Replies
4
Views
1K
Graduate Generalize Special Relativity for Flat Spacetime
  • · Replies 8 ·
Replies
8
Views
2K
Undergrad Explore Spacetimes, Metrics & Symmetries in Relativity Theory
  • · Replies 7 ·
Replies
7
Views
3K
Undergrad Constants of motion symmetric spacetimes
  • · Replies 9 ·
Replies
9
Views
1K
Graduate Why Is General Relativity Nonlinear Compared to Other Fundamental Equations?
  • · Replies 8 ·
Replies
8
Views
2K