1999/07/31 by M. A. De Andrade, M.A. De Andrade, I. V. Vancea +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #gr-qc #hep-th
paper · pdf · doi:10.1016/s0370-2693(00)01409-4
published as Phys.Lett. B474 (2000) 46-51 · 14 pages, ReVTeX file. Comments added, to appear in Phys.Lett.B
openalex publication_date 2000/02/01 · arxiv created 2000/02/09 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We show that there exists a duality between the local coordinates and the solutions of the Klein-Gordon equation in curved spacetime in the same sense as in the Minkowski spacetime. However, the duality in curved spacetime does not have the same generality as in flat spacetime and it holds only if the system satisfies certain constraints. We derive these constraints and the basic equations of duality and discuss the implications in the quantum theory.