Infinite-derivative completions of quasitopological gravities are ghost-free, avoid strong coupling, and admit exact spherically symmetric vacuum regular black holes obeying a perturbative Birkhoff theorem.
Stability of Schwarzschild singularity in non-local gravity
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abstract
In a previous work, it was shown that all Ricci-flat spacetimes are exact solutions for a large class of non-local gravitational theories. Here we prove that, for a subclass of non-local theories, the Schwarzschild singularity is stable under linear perturbations. Thus, non-locality may be not enough to cure all the singularities of general relativity. Finally, we show that the Schwarzschild solution can be generated by the gravitational collapse of a thin shell of radiation.
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gr-qc 2years
2026 2roles
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Gödel-type universes with closed timelike curves are exact vacuum solutions in nonlocal gravity for a special class of form factors.
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Regular Black Holes in Nonlocal Quasitopological Gravity
Infinite-derivative completions of quasitopological gravities are ghost-free, avoid strong coupling, and admit exact spherically symmetric vacuum regular black holes obeying a perturbative Birkhoff theorem.
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Acausal exact vacuum solutions in nonlocal gravity
Gödel-type universes with closed timelike curves are exact vacuum solutions in nonlocal gravity for a special class of form factors.