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arXiv · gr-qc/0004020

Quantum creation of an Inhomogeneous universe

Sigbjorn Hervik
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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 Lemaître-Tolman model. We assume that we have a space with 2-dimensional locally homogeneous spacelike surfaces. In addition we assume they are compact. Classically we investigate both homogeneous and inhomogeneous spacetimes which this model describe. For instance one is a quotient of the AdS$_4$ space which resembles the BTZ black hole in AdS$_3$. 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 a spontaneous creation of a universe through a tunneling event is emphasized.

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Sigbjorn Hervik. 2000-12-10. Quantum creation of an Inhomogeneous universe. https://doi.org/10.1088/0264-9381%2F18%2F1%2F310

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