Quantum Oscillations Can Prevent the Big Bang Singularity in an Einstein-Dirac Cosmology |
| |
Authors: | Felix Finster and Christian Hainzl |
| |
Institution: | (1) McDougall Crescent 149, S4S 0A2 Regina, Saskatchewan, Canada |
| |
Abstract: | We consider a spatially homogeneous and isotropic system of Dirac particles coupled to classical gravity. The dust and radiation
dominated closed Friedmann-Robertson-Walker space-times are recovered as limiting cases. We find a mechanism where quantum
oscillations of the Dirac wave functions can prevent the formation of the big bang or big crunch singularity. Thus before
the big crunch, the collapse of the universe is stopped by quantum effects and reversed to an expansion, so that the universe
opens up entering a new era of classical behavior.
Numerical examples of such space-times are given, and the dependence on various parameters is discussed. Generically, one
has a collapse after a finite number of cycles. By fine-tuning the parameters we construct an example of a space-time which
satisfies the dominant energy condition and is time-periodic, thus running through an infinite number of contraction and expansion
cycles. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|