Godel universe

from Wikipedia, the free encyclopedia

The Gödel universe describes a cosmological solution of the equations of the general theory of relativity (ART) developed by the Austrian mathematician Kurt Gödel in 1949 . It describes a rotating , closed, stationary, homogeneous universe with a negative cosmological constant and is characterized by the fact that time travel is possible in it; that is, there are closed time-like geodetic tables for every event point. Since time travel paradoxes are also connected with this, the model shows that further principles beyond the ART are necessary to avoid them.

The Godel universe also violates Mach's principle in the form originally envisaged by Einstein for the ART. By considering a finite instead of infinite universe, Ozsvath and Engelbert Schücking constructed a variant in 1962 without time travel into the past, but which still violates Mach's principle.

literature

  • Kurt Gödel: An Example of a New Type of Cosmological Solutions of Einstein's Field Equations of Gravitation, Rev. Mod. Phys., Volume 21, 1949, p. 447
  • Hawking, Ellis: The large scale structure of space-time , Cambridge UP 1973
  • Rüdiger Vaas : Tunnel through space and time. Kosmos, Stuttgart 2005, 6th updated edition 2013, ISBN 3-440-09360-3 .
  • Palle Yourgrau: Gödel, Einstein and the consequences: Legacy of an unusual friendship , CH Beck, 2005, ISBN 3-406-52914-3 .

Individual evidence

  1. ^ Nahin, Times Machines, Springer 1999, p. 84