Quantum creation of an inhomogeneous universe

Author: Hervik S.

Source: Classical and Quantum Gravity, Volume 18, Number 1, 2001 , pp. 175-192(18)

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Abstract:

In this paper we study a class of inhomogeneous cosmological models which is a modified version of what is usually called the Lema?tre-Tolman model. We assume that we have a space with two-dimensional locally homogeneous spacelike surfaces. In addition, we assume that they are compact. Classically, we investigate both homogeneous and inhomogeneous spacetimes which this model describes. For instance, one is a quotient of the AdS₄ space which resembles the BTZ black hole in AdS₃.

Due to the complexity of the model we indicate a simpler model which can be quantized easily. This model still has the feature that it is in general inhomogeneous. How this model could describe spontaneous creation of a universe through a tunnelling event is emphasized.

Language: English

Document Type: Miscellaneous

Publication date: 2001-01-01