Redshift and contact forms

Abstract

It is shown that the redshift between two Cauchy surfaces in a globally hyperbolic spacetime equals the ratio of the associated contact forms on the space of light rays of that spacetime.

9 pages, 1 figure

References in corpus (7)

• On smooth Cauchy hypersurfaces and Geroch's splitting theorem
• Globally hyperbolic spacetimes can be defined as "causal" instead of "strongly causal"
• Non-negative Legendrian isotopy in $S{T}^{\ast }M$
• Legendrian links, causality, and the Low conjecture
• Linking and causality in globally hyperbolic spacetimes
• Universal orderability of Legendrian isotopy classes
• The Contact Structure in the Space of Light Rays

Cited by in corpus (6)

• Causality and Legendrian linking for higher dimensional spacetimes
• Interval topology in contact geometry
• Conjectures on the Relations of Linking and Causality in Causally Simple Spacetimes
• L-extensions and L-boundary of conformal spacetimes
• The space of light rays: Causality and $L$-boundary
• Legendrian links and déjà vu moments