Cosmological singularities in Bakry-Émery spacetimes

DOI10.1016/J.GEOMPHYS.2014.08.016zbMath1362.83018arXiv1312.3410OpenAlexW2051097286MaRDI QIDQ478850

Eric Woolgar, Gregory J. Galloway

Publication date: 4 December 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.3410

zbMATH Keywords

cosmological singularityBrans-Dicke theoryscalar-tensor theorysingularity theoremBakry-ÉmeryLorentzian

Mathematics Subject Classification ID

Space-time singularities, cosmic censorship, etc. (83C75) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (15)

Ricci curvature, isoperimetry and a non-additive entropy ⋮ Spinors and mass on weighted manifolds ⋮ Curvature-dimension bounds for Lorentzian splitting theorems ⋮ Spacelike translating solitons of the mean curvature flow in Lorentzian product spaces with density ⋮ A geometric approach to the Yang-Mills mass gap ⋮ ON THE EXISTENCE OF -MAXIMAL SPACELIKE HYPERSURFACES IN CERTAIN WEIGHTED MANIFOLDS ⋮ Volumes and intrinsic diameters of hypersurfaces ⋮ On static solutions of the Einstein-scalar field equations ⋮ Isotropic quasi-Einstein manifolds ⋮ Submanifolds immersed in Riemannian spaces endowed with a Killing vector field: nonexistence and rigidity ⋮ A bound of the Finslerian Ricci scalar ⋮ Cosmological singularity theorems and splitting theorems for N-Bakry-Émery spacetimes ⋮ Rigidity of complete spacelike hypersurfaces in spatially weighted generalized Robertson-Walker spacetimes ⋮ Geometry of weighted Lorentz–Finsler manifolds I: singularity theorems ⋮ Isoperimetric inequalities under bounded integral norms of Ricci curvature and mean curvature

Cites Work

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• Comparison geometry for the Bakry-Emery Ricci tensor
• Some geometric properties of the Bakry-Émery-Ricci tensor
• Cosmology in scalar-tensor gravity.
• Singularity theorems and the Lorentzian splitting theorem for the Bakry-Emery-Ricci tensor
• Mach's Principle and a Relativistic Theory of Gravitation
• Curvature, causality and completeness in space-times with causally complete spacelike slices
• Scalar–tensor gravitation and the Bakry–Émery–Ricci tensor
• Bakry–Émery black holes
• The Large Scale Structure of Space-Time

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