The geometry of small causal diamonds

DOI10.1016/j.physletb.2007.03.068zbMath1248.53051arXivhep-th/0703098OpenAlexW2083278065WikidataQ125865446 ScholiaQ125865446MaRDI QIDQ713505

Sergey N. Solodukhin, Gary W. Gibbons

Publication date: 18 October 2012

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0703098

zbMATH Keywords

causal diamondsAlexandrov open sets

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) General relativity (83C99) Applications of global differential geometry to the sciences (53C80) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (18)

Scalar field Green functions on causal sets ⋮ A comparison theorem for cosmological lightcones ⋮ Thermodynamic metrics and black hole physics ⋮ Quantum phenomenological gravitational dynamics: a general view from thermodynamics of spacetime ⋮ A boundary term for the gravitational action with null boundaries ⋮ The continuum limit of a 4-dimensional causal set scalar d’Alembertian ⋮ The volume of causal diamonds, asymptotically de Sitter space-times and irreversibility ⋮ Encoding the electrodynamics in spatiotemporal boundaries ⋮ Bosonic fields in causal set theory ⋮ Energy conditions in general relativity and quantum field theory ⋮ On the continuum limit of Benincasa–Dowker–Glaser causal set action ⋮ Boundary contributions in the causal set action ⋮ Applications of the Hawking energy on lightcones in cosmology ⋮ The causal set approach to quantum gravity ⋮ The geometry of large causal diamonds and the no-hair property of asymptotically de Sitter space-times ⋮ A Lorentzian analog for Hausdorff dimension and measure ⋮ Area deficits and the Bel–Robinson tensor ⋮ I \(\heartsuit\; \diamondsuit\) s

Cites Work

• A new topology for curved space–time which incorporates the causal, differential, and conformal structures
• The class of continuous timelike curves determines the topology of spacetime

This page was built for publication: The geometry of small causal diamonds