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arXiv · 2509.20089

Schwarzschild Spacetime and the Local Limit of Nonlocal Gravity

Yahya Mohammadi·Javad Tabatabaei·Shant Baghram·Bahram Mashhoon
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Abstract

We investigate static spherically symmetric solutions within the framework of the local limit of nonlocal gravity. This theory departs from Einstein's general relativity (GR) through the introduction of a scalar gravitational susceptibility function $S(x)$, $1+S > 0$, which is a new feature of the spacetime that vanishes in the GR limit. It is shown that the Schwarzschild spacetime constitutes an exact solution of the modified source-free gravitational field equations provided $S$ is a constant. The mass of the corresponding Schwarzschild solution is given by $M/(1+S)$, where $M$ denotes the mass of the solution in the GR limit. The interpretation of the solution in terms of a black hole is ruled out due to the divergence of the algebraic invariants of the Weitzenb\"ock torsion at the Schwarzschild horizon.

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Yahya Mohammadi, Javad Tabatabaei, Shant Baghram, Bahram Mashhoon. 2025-09-24. Schwarzschild Spacetime and the Local Limit of Nonlocal Gravity. https://arxiv.org/abs/2509.20089

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