Lorentzian angles and trigonometry including lightlike vectors

Abstract

We define a concept of Lorentzian angle that works even when one or both of the directions involved is null (lightlike). Such angles play a role in Regge-Calculus, in the boundary- and corner- terms for the gravitational action, and in the Lorentzian Gauss-Bonnet theorem (for which we provide a proof).

Version 2 has figures in final form. 39 pages, 12 figures. Most current version will be available at http://www.perimeterinstitute.ca/personal/rsorkin/some.papers/ (or wherever my home-page may be)

References in corpus (1)

• Gravitational action with null boundaries

Cited by in corpus (4)

• Effective Spin Foam Models for Lorentzian Quantum Gravity
• Lorentzian quantum cosmology goes simplicial
• Complex, Lorentzian, and Euclidean simplicial quantum gravity: numerical methods and physical prospects
• Time-space duality in 2D quantum gravity