2025/09/24 by Mohammadi, Yahya, Tabatabaei, Javad, Baghram, Shant +1
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)
paper · doi:10.48550/arxiv.2509.20089
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 Weitzenböck torsion at the Schwarzschild horizon.