On the radar method in general-relativistic spacetimes

TL;DR

This paper reviews the geometric aspects of the radar method in general-relativistic spacetimes, discussing how it assigns time and distance to events near a clock and exploring its physical interpretation.

Contribution

It provides a comprehensive review of the geometric foundations of the radar method and discusses its physical significance in general relativity.

Findings

Clarifies the geometric interpretation of the radar method.

Discusses the physical meaning of radar time and distance.

Highlights the method's applicability in general-relativistic contexts.

Abstract

If a clock, mathematically modeled by a parametrized timelike curve in a general-relativistic spacetime, is given, the radar method assigns a time and a distance to every event which is sufficiently close to the clock. Several geometric aspects of this method are reviewed and their physical interpretation is discussed.