2018/11/30 by T. Koide, T. Kodama · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Curvature #Curved space #Friedmann–Lemaître–Robertson–Walker metric #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Maxwell's equations in curved spacetime #Metric tensor #Physics #Quantization (signal processing) #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum field theory in curved spacetime #Quantum gravity #Quantum mechanics #Spacetime #Spacetime symmetries #Universe #gr-qc #hep-th #quant-ph
paper · pdf · doi:10.1016/j.physleta.2019.05.044
published as Phys. Lett. A383, 2713 (2019) · 7 pages, no figure, one table. References were updated. Accepted for publication in Phys. Lett. A
openalex publication_date 2019/05/29 · arxiv created 2019/05/30 · arxiv updated 2019/07/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The interplay between quantum fluctuation and spacetime curvature is shown to induce an additional quantum-curvature (QC) term in the energy-momentum tensor of fluid using the generalized framework of the stochastic variational method (SVM). The QC term is necessary to satisfy the momentum conservation but the corresponding quantum hydrodynamics is not necessarily cast into the form of the Schrödinger equation, differently from the case of the Euclidean spacetime. This seems to suggest that the existence of the Hilbert space is not a priori requirement in the quantization of curved spacetime systems. As an example, we apply the Friedmann-Robertson-Walker (FRW) metric and show that this effect contributes to the cosmological acceleration although it is too small in the present non-relativistic toy model.