# Classical and Quantum Solutions and the Problem of Time in $R^2$ Cosmology

Source: [Classical and Quantum Solutions and the Problem of Time in $R^2$ Cosmology](<https://www.sota2.com/research/paper/68fa24342c2a3760193a09b9>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T08:56:04.567Z

Authors: M. Kenmoku, K. Otsuki, K. Shigemoto, K. Uehara

Published: 1995-10-16T07:21:31.000Z

## Abstract

We have studied various classical solutions in $R^2$ cosmology. Especially we have obtained general classical solutions in pure $R^2$\\ cosmology. Even in the quantum theory, we can solve the Wheeler-DeWitt equation in pure $R^2$\\ cosmology exactly. Comparing these classical and quantum solutions in $R^2$\\ cosmology, we have studied the problem of time in general relativity.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/gr-qc/9510027>)

[PDF](<https://arxiv.org/pdf/gr-qc/9510027.pdf>)