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Quantum Analysis of \(k=-1\) Robertson–Walker Universe

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Abstract

The \((k=-1)\)-Robertson–Walker spacetime is under investigation. With the derived Hamilton operator, we are solving the Wheeler–De Witt Equation and its Schrödinger-like extension, for physically important forms of the effective potential. The closed form solutions, expressed in terms of Heun’s functions, allow us to comment on the occurrence of Universe from highly probable quantum states.

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Acknowledgments

The authors are most grateful to the anonymous referees for insightful remarks and suggestions which have been very helpful in improving the original form of our paper.

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  1. Faculty of Physics, Alexandru Ioan Cuza University of Iaşi, Bd. Carol I, no. 11, 700506, Iasi, Romania

    Ciprian Dariescu & Marina-Aura Dariescu

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  1. Ciprian Dariescu
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  2. Marina-Aura Dariescu
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Correspondence to Marina-Aura Dariescu.

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Dariescu, C., Dariescu, MA. Quantum Analysis of \(k=-1\) Robertson–Walker Universe. Found Phys 45, 1495–1513 (2015). https://doi.org/10.1007/s10701-015-9922-5

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