Further results on the smoothability of Cauchy hypersurfaces and Cauchy time functions
DOI10.1007/s11005-006-0091-5zbMath1126.53043arXivgr-qc/0512095OpenAlexW3099358373MaRDI QIDQ883185
Antonio N. Bernal, Miguel Sánchez
Publication date: 31 May 2007
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/gr-qc/0512095
submanifoldscausalityCauchy hypersurfaceglobal hyperbolicitysmoothabilityGeroch's theoremquantum fields on curved space-timestime and temporal functions
Quantum field theory on curved space or space-time backgrounds (81T20) Applications of global differential geometry to the sciences (53C80) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Partial differential equations on manifolds; differential operators (58Jxx)
Related Items (73)
Cites Work
- Unnamed Item
- Unnamed Item
- Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate Killing horizon
- Some results on Cauchy surface criteria in Lorentzian geometry
- Volume functions in general relativity
- Smoothing and extending cosmic time functions
- A Morse theory for geodesics on a Lorentz manifold
- The generally covariant locality principle -- a new paradigm for local quantum field theory
- On smooth Cauchy hypersurfaces and Geroch's splitting theorem
- Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes
- Punctured Haag duality in locally covariant quantum field theories
- General relativity and cosmology
- A remark on boundary effects in static vacuum initial data sets
- Domain of Dependence
- Scalar curvature deformation and a gluing construction for the Einstein constraint equations
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