Locally inertial null normal coordinates

DOI10.1088/0264-9381/29/14/145002zbMATH Open1246.83027arXiv1201.0542OpenAlexW2052844384MaRDI QIDQ2902293

Author name not available (Why is that?)

Publication date: 17 August 2012

Published in: (Search for Journal in Brave)

Abstract: Locally inertial coordinates are constructed by carrying Riemann normal coordinates on a codimension two spacelike surface along the geodesics normal to it. Since the normal tangents are labelled by components with respect to a null basis, these coordinates are referred to as null normal coordinates. They are convenient in the study of local causal horizons. As an application, the coordinate system is used to specify a vector field that satisfies the Killing equation approximately in a small region and the Killing identity exactly on a single null geodesic. We also construct a vector field on a surface, starting from a vector at a given point on the surface. This construction may be regarded as a generalisation of the notion of Fermi-Walker transport.

Full work available at URL: https://arxiv.org/abs/1201.0542

Mathematics Subject Classification ID

No records found.

This page was built for publication: Locally inertial null normal coordinates

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2902293)