Relativistic chaos

In physics, relativistic chaos is the application of chaos theory to dynamical systems described primarily by general relativity, and also special relativity.

Barrow (1982) showed that the Einstein equations exhibit chaotic behaviour and modelled the Mixmaster universe as a dynamical system. Later work showed that relativistic chaos is coordinate invariant (Motter 2003).

See also

• Quantum chaos

References

• X. Ni; et al. (2012). "Effect of chaos on relativistic quantum tunneling" (PDF). Europhysics Letters. 98 (5): 50007. Bibcode:2012EL.....9850007N. doi:10.1209/0295-5075/98/50007. S2CID 568332. Archived from the original on June 17, 2017.
• P. Schewe; J. Riordon; B. Stein (2003). "Relativistic Chaos". Physical News Update (664). Archived from the original on 2011-08-05.
• J. D. Barrow (1982). "General relativistic chaos and nonlinear dynamics" (PDF). General Relativity and Gravitation. 14 (6): 523–530. Bibcode:1982GReGr..14..523B. doi:10.1007/BF00756214. S2CID 121254445.
• A. E. Motter (2003). "Relativistic chaos is coordinate invariant" (PDF). Physical Review Letters. 93 (23): 231101. arXiv:gr-qc/0305020. Bibcode:2003PhRvL..91w1101M. doi:10.1103/PhysRevLett.91.231101. PMID 14683170. S2CID 32645063.
• H.-W. Lee (1995). "Relativistic chaos in time-driven linear and nonlinear oscillators". In P. Garbaczewski; M. Wolf; A. Weron (eds.). Proceedings of the XXXIst Winter School of Theoretical Physics. Lecture Notes in Physics. Vol. 457. pp. 503–506. Bibcode:1995LNP...457..503L. doi:10.1007/3-540-60188-0_76. ISBN 3-540-60188-0.