TITLE:
A New Strong-Field Metric Closer to Observation in Gravity Theory
AUTHORS:
Espen Gaarder Haug, Gianfranco Spavieri
KEYWORDS:
General Relativity Theory, Schwarzschild Metric, Weak Field, Strong Fields, Black Holes
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.14 No.5,
May
29,
2026
ABSTRACT: The Schwarzschild metric is the most commonly used metric solution that can be derived from Einstein’s field equations. It is used to predict most gravitational phenomena that can be checked with observation, especially for weak field phenomena. However, in one of the final steps of deriving the this metric, one relies on Newton’s theory, which suggests that the standard and well-known Schwarzschild metric is valid for only weak fields. The Schwarzschild solution itself is an exact solution to Einstein’s field equation; there is no doubt about that. However, it is the last calibration step of one of the parameters that makes the standard Schwarzschild solution likely valid only in weak fields. We present a new metric that is an exact solution to Einstein’s field equation that provides the same predictions as the weak field Schwarzschild metric in weak gravitational fields, but gives significant new predictions in strong gravitational fields, particularly for black holes. We have derived this metric in a more formal way before, but this paper offers a new and interesting angle on the metric.