Abstract

We present a static, spherically symmetric spacetime solution sourced by a unified field tensor incorporating both electromagnetic and gravitational field self-energies. By constructing an effective total energy–momentum tensor as the sum of electromagnetic and gravitational field contributions, we derive modified field equations in which spacetime curvature is directly sourced by field energies. The resulting metric generalizes the Reissner–Nordström geometry through the appearance of a mixed gravitational–electromagnetic coupling term proportional to the product of the Schwarzschild radius and the classical charge radius. The solution reproduces the Schwarzschild limits in the appropriate regimes, while predicting a modified horizon structure and altered extremality conditions in the strong-field domain. These results suggest that gravitational self-energy may play a non-negligible role in charged compact objects and provide a tractable framework for exploring nonlinear field interactions beyond standard Einstein–Maxwell theory.

This work is licensed under a Creative Commons Attribution 4.0 License.