1995/04/14 by Tsunefumi Tanaka, William A. Hiscock · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Curvature #Energy (signal processing) #Field (mathematics) #Geometry #Mathematical physics #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Scalar curvature #Scalar field #gr-qc
paper · pdf · doi:10.1103/physrevd.52.4503
published as Phys.Rev.D52:4503-4511,1995 · 19 pages, REVTeX, 5 figures in separate uuencoded compressed file
arxiv created 1995/04/14 · openalex publication_date 1995/10/15 · arxiv updated 2010/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The vacuum expectation value of the stress-energy tensor 〈0\ensuremath\VertT_\mathrm\ensuremathμ\ensuremathν\ensuremath\Vert0〉 is calculated in several multiply connected flat spacetimes for a massive scalar field with arbitrary curvature coupling. We find that a nonzero field mass always decreases the magnitude of the energy density in chronology-respecting manifolds such as R3\ifmmode×\else\texttimes\fiS1, R2\ifmmode×\else\texttimes\fiT2, R1\ifmmode×\else\texttimes\fiT3, the M"obius strip, and the Klein bottle. In Grant space, which contains nonchronal regions, whether or not 〈0\ensuremath\VertT_\mathrm\ensuremathμ\ensuremathν\ensuremath\Vert0〉 diverges on a chronology horizon depends on the field mass. For a sufficiently large mass 〈0\ensuremath\VertT_\mathrm\ensuremathμ\ensuremathν\ensuremath\Vert0〉 remains finite, and the metric back reaction caused by a massive quantized field may not be large enough to significantly change the Grant space geometry.