Geodesics of simultaneity in Schwarzschild

TL;DR

This paper investigates spacelike geodesics of simultaneity in the Schwarzschild spacetime, analyzing their properties in the exterior region to understand the geometry of simultaneous events.

Contribution

It provides a detailed study of geodesics of simultaneity in Schwarzschild spacetime, a topic not extensively explored before.

Findings

Characterization of spacelike geodesics of simultaneity in Schwarzschild spacetime

Insights into the structure of simultaneous events in curved spacetime

Potential implications for understanding spacetime geometry and causality

Abstract

Geodesic of simultaneity is a spacelike geodesic in which every pair of neighbour events are simultaneous ($g_{0\mu}\dd x^\mu=0$). These geodesics are studied in the exterior region of \Sch's metric.