Singular sources in gravity and homotopy in the space of connections

DOI10.1063/1.3250196zbMath1372.58013arXiv0901.1079OpenAlexW2026521859MaRDI QIDQ3583736

Steven Willison, Elias Gravanis

Publication date: 17 August 2010

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

Full work available at URL: https://arxiv.org/abs/0901.1079

zbMATH Keywords

Einstein field equationsgravitational Lagrangiansspace-time configurationsdistributional Lagrangianuniquely defined by the limiting process for the fields

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Distributions, generalized functions, distribution spaces (46F99) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Manifolds of metrics (especially Riemannian) (58D17)

Related Items (3)

On AdS to dS transitions in higher-curvature gravity ⋮ The coincidence limit of the graviton propagator in de Donder gauge on de Sitter background ⋮ Graviton propagator in a general invariant gauge on de Sitter

Cites Work

• Complex manifolds without potential theory. (With an appendix on the geometry of characteristic classes)
• Intersecting hypersurfaces, topological densities and Lovelock gravity
• Algebraic study of chiral anomalities
• Characteristic forms and geometric invariants
• Intersecting hypersurfaces in dimensionally continued topological density gravitation
• Lovelock-Cartan theory of gravity
• The use of generalized functions and distributions in general relativity
• The Einstein Tensor and Its Generalizations
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