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**Duerr, Detlef and Struyve, Ward (2020): Quantum Einstein equations. In: Classical and Quantum Gravity, Vol. 37, No. 13, 135002**

**Full text not available from 'Open Access LMU'.**

## Abstract

We derive the quantum Einstein equations (which are the quantum generalisation of the Einstein equations of classical gravity) from Bohmian quantum gravity. Bohmian quantum gravity is a non-classical geometrodynamics (in the ADM formalism) which describes the time evolution of a three-geometry and of a matter field (or other matter degrees of freedom) on a three manifold. The evolution is determined by a velocity law which is defined by the wave function. The wave function itself satisfies the Wheeler-DeWitt equation. We cast the Bohmian dynamics into the form of the Einstein field equations, where the interesting novelty is a contribution to the energy-momentum tensor that depends on the quantum potential.

Item Type: | Journal article |
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Faculties: | Mathematics, Computer Science and Statistics > Mathematics |

Subjects: | 500 Science > 510 Mathematics |

ISSN: | 0264-9381 |

Language: | English |

Item ID: | 88947 |

Date Deposited: | 25. Jan 2022, 09:28 |

Last Modified: | 25. Jan 2022, 09:28 |