Quantum Einstein equations

• URL: http://arxiv.org/abs/2003.03839v2
• Date: Mon, 10 Aug 2020 10:34:15 GMT
• Title: Quantum Einstein equations
• Authors: Detlef D\"urr, Ward Struyve
• Abstract summary: We derive the quantum Einstein equations (which are the quantum generalisation of the Einstein equations of classical gravity) from Bohmian quantum gravity. 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.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 3-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.

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