TITLE:
The True Schwarzschild Solution and Its Subsequent Geometry
AUTHORS:
Jean-Pierre Petit, Gilles d’Agostini, Jean-Marc Pechinot
KEYWORDS:
Schwarzschild Metric, Schwarzschild Geometry, Throat Sphere
JOURNAL NAME:
Journal of Modern Physics,
Vol.17 No.8,
August
28,
2026
ABSTRACT: We present the solution to Einstein’s stationary, spherically symmetric field equation, expressed using variables initially chosen by Schwarzschild. We show that the geodesics of the Flamm surface are not the geodesics of the hypersurface solution and how the Flamm’s 2D cross-section allows us to understand the topology of the 4D object.