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Peer-reviewedCC BY 4.0The European Physical Journal C

Schwarzschild spacetime and the local limit of nonlocal gravity

  • Yahya Mohammadi1
  • Javad Tabatabaei1
  • Shant Baghram1
  • Bahram Mashhoon1,2,3
  1. 1Sharif University of Technology
  2. 2Institute for Research in Fundamental Sciences (IPM)
  3. 3University of Missouri
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Abstract

We investigate static spherically symmetric solutions within the framework of the local limit of nonlocal gravity, which is a modified form of the teleparallel equivalent of general relativity. This theory departs from Einstein’s general relativity through the introduction of a scalar gravitational susceptibility function S(x), 1+S > 0, which is a new phenomenological feature of the spacetime that vanishes in the general relativity 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 general relativity 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.

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Cite

BibTeXRIS
BibTeX
@article{mohammadi2026schwarzschild,
  title = {{Schwarzschild spacetime and the local limit of nonlocal gravity}},
  author = {Yahya Mohammadi and Javad Tabatabaei and Shant Baghram and Bahram Mashhoon},
  journal = {The European Physical Journal C},
  year = {2026},
  month = nov,
  doi = {10.1140/epjc/s10052-026-16523-0},
  url = {https://link.springer.com/article/10.1140/epjc/s10052-026-16523-0},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Schwarzschild spacetime and the local limit of nonlocal gravity
AU  - Yahya Mohammadi
AU  - Javad Tabatabaei
AU  - Shant Baghram
AU  - Bahram Mashhoon
PY  - 2026
DA  - 2026/11/05
JO  - The European Physical Journal C
DO  - 10.1140/epjc/s10052-026-16523-0
UR  - https://link.springer.com/article/10.1140/epjc/s10052-026-16523-0
AB  - We investigate static spherically symmetric solutions within the framework of the local limit of nonlocal gravity, which is a modified form of the teleparallel equivalent of general relativity. This theory departs from Einstein’s general relativity through the introduction of a scalar gravitational susceptibility function S(x), 1+S > 0, which is a new phenomenological feature of the spacetime that vanishes in the general relativity 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 general relativity 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.
SN  - 1434-6052
ER  -