Simultaneous determination of mass parameter and radial marker in Schwarzschild geometry

TL;DR

This paper presents a method to measure the mass parameter and radial coordinate in Schwarzschild spacetime without relying on Newtonian approximations, using proper time measurements and algebraic solutions.

Contribution

It introduces a novel approach to determine key parameters in Schwarzschild geometry without Newtonian limits, enhancing conceptual independence of general relativity.

Findings

Mass and radial coordinate can be measured indirectly in Schwarzschild spacetime.

Proper time quantifications and algebraic solutions enable parameter determination.

Method strengthens the conceptual independence of general relativity from Newtonian gravity.

Abstract

We show that mass parameter and radial coordinate values can be indirectly measured in thought experiments performed in Schwarzschild spacetime, without using the Newtonian limit of general relativity or approximations based on Euclidean geometry. Our approach involves different proper time quantifcations as well as solutions to systems of algebraic equations, and aims to strengthen the conceptual independence of general relativity from Newtonian gravity.