Institute of Theoretical Physics · Faculty of Mathematics and Physics, Charles University
Phys. Rev. D 110(10), 10 (2024)
We study spherically symmetric static solutions of the most general sixth-derivative gravity using series expansions. Specifically, we prove that the only solutions of the complete theory (i.e., with generic coupling constants) that possess a Frobenius expansion around the origin, r = 0, are necessarily regular. When restricted to specific branches of theories (i.e., imposing particular constraints on the coupling constants), families of potentially singular solutions emerge. By expanding around r = r(0) not equal 0, we identify solutions with black hole horizons. Finally, we argue that, unlike in fourth-derivative gravity, the conditions R = 0 and g(tt)g(rr) = -1 are too restrictive for sixth-derivative gravity solutions.
@article{UTF985,
author = {Giacchini B. L., Kolář I.},
title = {{Toward regular black holes in sixth-derivative gravity}},
journal = {Phys. Rev. D},
volume = {110},
number = {10},
pages = {10},
year = {2024},
month = {11},
doi = {10.1103/PhysRevD.110.104056},
url = {https://doi.org/10.1103/PhysRevD.110.104056},
}