Singularity Theorems in General Relativity: Achievements and Open Questions

DOI10.1007/978-0-8176-4940-1_15zbMath1229.83018arXivphysics/0605007OpenAlexW1632462462MaRDI QIDQ3108329

José M. M. Senovilla

Publication date: 2 January 2012

Published in: Einstein and the Changing Worldviews of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/physics/0605007

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) History of relativity and gravitational theory (83-03)

Related Items (13)

Existence of new singularities in Einstein-Aether theory ⋮ Uniqueness and nullity of complete spacelike hypersurfaces immersed in the anti-de Sitter space ⋮ From disformal electrodynamics to exotic spacetime singularities ⋮ The singularity theorems of general relativity and their low regularity extensions ⋮ Characterization results and a sharp integral inequality for LW spacelike hypersurfaces in locally symmetric Lorentzian spaces ⋮ Revisiting linear Weingarten spacelike submanifolds immersed in a locally symmetric semi-Riemannian space ⋮ Uniqueness and nonexistence of complete spacelike hypersurfaces, Calabi-Bernstein type results and applications to Einstein-de Sitter and steady state type spacetimes ⋮ Theoretical cosmology ⋮ Mathematical general relativity ⋮ Characterizing closed linear Weingarten spacelike submanifolds immersed in the de Sitter space ⋮ Complete linear Weingarten spacelike submanifolds with higher codimension in the de Sitter space ⋮ Complete spacelike hypersurfaces with constant scalar curvature: descriptions and gaps ⋮ Complete linear Weingarten spacelike submanifolds immersed in the anti-de Sitter space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Singularity theorems and their consequences
• What is a singularity in general relativity?
• The Schwarzschild solution: Corrections to the editorial note: ``Comment on: `On the gravitational field of a mass point according to Einstein's theory' by S. Antoci and D.-E. Liebscher.
• Relativistic Cosmology. I
• The Maximum Mass of Ideal White Dwarfs
• New class of inhomogeneous cosmological perfect-fluid solutions without big-bang singularity
• Theorem for Nonrotating Singularity-Free Universes
• Comment on “Theorem for Nonrotating Singularity-Free Universes”
• The singularities of gravitational collapse and cosmology
• Causal structures and causal boundaries
• Gravitational Collapse and Space-Time Singularities
• The Large Scale Structure of Space-Time
• On Continued Gravitational Contraction
• An Example of a New Type of Cosmological Solutions of Einstein's Field Equations of Gravitation

This page was built for publication: Singularity Theorems in General Relativity: Achievements and Open Questions