Quantum fluctuations in gravitational collapse and cosmology

Narlikar, J. V. (1978) Quantum fluctuations in gravitational collapse and cosmology Monthly Notices of the Royal Astronomical Society, 183 . pp. 159-168. ISSN 0035-8711

Full text not available from this repository.

Official URL: http://onlinelibrary.wiley.com/journal/10.1111/%28...


It is shown that the conformal degrees of freedom in the metric tensor can be quantized and that this procedure leads to fluctuations around the solutions of the classical Einstein field equations. These fluctuations become progressively more important as the classical solution approaches the space-time singularity. An explicit calculation is given of the quantum mechanical propagator which describes the conformal fluctuations in a collapsing homogeneous ball of dust. As the state of classical singularity is approached the quantum uncertainty diverges. Within the range of quantum uncertainty non-singular final states are possible. The solution can also be applied to the Friedmann models with the conclusion that the Universe need not have originated in a unique classical big bang. Non-singular models or models without particle horizons are permitted within the range of the quantum uncertainty.

Item Type:Article
Source:Copyright of this article belongs to John Wiley and Sons.
ID Code:87900
Deposited On:22 Mar 2012 13:59
Last Modified:22 Mar 2012 13:59

Repository Staff Only: item control page