Cosmological singularity theorems and splitting theorems for N-Bakry-Émery spacetimes

DOI10.1063/1.4940340zbMath1336.83033arXiv1509.05734OpenAlexW2213161592MaRDI QIDQ2795561

William Wylie, Eric Woolgar

Publication date: 21 March 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.05734

zbMATH Keywords

string theoryBrans-Dicke theoryLorentzian manifoldssplitting theoremsKaluza-Klein dimensional reduction\(N\)-Bakry-Émery spacetimescosmological singularity theoremsfuture-inextendible timelike geodesicsscalar-tensor gravitation

Mathematics Subject Classification ID

Relativistic cosmology (83F05) String and superstring theories in gravitational theory (83E30) Space-time singularities, cosmic censorship, etc. (83C75) Kaluza-Klein and other higher-dimensional theories (83E15) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (13)

Comparison theorems on weighted Finsler manifolds and spacetimes with \(\epsilon\)-range ⋮ Spinors and mass on weighted manifolds ⋮ Curvature-dimension bounds for Lorentzian splitting theorems ⋮ Singularity theorems for warped products and the stability of spatial extra dimensions ⋮ Rényi's entropy on Lorentzian spaces. Timelike curvature-dimension conditions ⋮ A synthetic null energy condition ⋮ A geometric approach to the Yang-Mills mass gap ⋮ The weighted connection and sectional curvature for manifolds with density ⋮ On static solutions of the Einstein-scalar field equations ⋮ Isotropic quasi-Einstein manifolds ⋮ Geometry of weighted Lorentz–Finsler manifolds I: singularity theorems ⋮ Cheeger-Gromoll splitting theorem for the Bakry-Emery Ricci tensor ⋮ A warped product version of the Cheeger-Gromoll splitting theorem

Cites Work

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• Cosmological singularities in Bakry-Émery spacetimes
• General relativity and conjugate ordinary differential equations
• Maximum principles for null hypersurfaces and null splitting theorems
• 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
• Scalar–tensor gravitation and the Bakry–Émery–Ricci tensor
• A warped product version of the Cheeger-Gromoll splitting theorem
• Bakry–Émery black holes
• The Large Scale Structure of Space-Time

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