# Cosmological Time in Quantum Supergravity

## Author

**Robert Graham** and **Hugh Luckock**

## Status

Research Report 96-16

Date: 28 March 1996

## Abstract

The version of supergravity formulated by Ogievetsky and Sokatchev is almost
identical to the conventional N=1 theory, except that the cosmological constant
appears as a dynamical variable which is constant only by virtue of the field
equations. We consider the canonical quantisation of this theory, and show that
the wave function evolves with respect to a dynamical variable which can be
interpreted as a cosmological time parameter. The square of the modulus of the
wave function obeys a set of simple conservation eqautions, and can be
interpreted as a probability density functional. The usual problems associated
with time in quantum cosmology are avoided.)

## Key phrases

canonical quantisation. supergravity. quantum cosmology.

## AMS Subject Classification (1991)

Primary:

Secondary:

## Content

The paper is available in the following forms:
- TeX dvi format:
- cos-time-qsg.dvi.gz (17kB) or
cos-time-qsg.dvi (41kB)

- PostScript:
- cos-time-qsg.ps.gz (46kB) or
cos-time-qsg.ps (158kB)

##### To minimize network load, please choose the smaller gzipped .gz form if
and only if your browser client supports it.

Sydney Mathematics and Statistics