1996/01/01 by Masaru Siino
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Curvature #Geometry #Gravitational singularity #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum field theory #Quantum field theory in curved spacetime #Quantum gravity #Quantum mechanics #Singularity #Spacetime #Spacetime topology #Topology (electrical circuits) #Torus #gr-qc
paper · pdf · doi:10.1088/0264-9381/14/3/012
published as Class.Quant.Grav. 14 (1997) 687-697 · 17 pages, revtex, 3 uuencoded figures contained
arxiv created 1996/01/01 · openalex publication_date 1997/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Quantum fields are investigated in the (2 + 1) open universes with non-trivial topologies by the method of images. The universes are locally de Sitter spacetime and anti-de Sitter spacetime. We study spacetimes whose spatial topologies are a torus with a cusp and a sphere with three cusps as a step toward the more general case. A quantum energy - momentum tensor is obtained by the point-stripping method. Though the cusps are not singularities, the latter cusps cause the divergence of the quantum field. This suggests that only the latter cusps are quantum mechanically unstable. Of course at the singularity of the background spacetime the quantum field diverges. Also the possibility of the divergence of the topological effect by a negative spatial curvature is discussed. Since the volume of the negatively curved space is larger than that of the flat space, one sees many images of a single source due to the non-trivial topology. It is confirmed that this divergence appears in our topology models. The results will be applicable to the case of a three-dimensional multi-black hole.