Work

Perturbative solutions for the bumblebee field in a Schwarzschild background

Year: 2026
Type: article
Abstract: In this paper, we investigate the behavior of a vector field subject to a Lorentz-violating quartic potential on a fixed Schwarzschild background. We analyze the equilibrium configuration of the field and its linear perturbations. We show that the equilibrium solution and spherically symmetric perturbations are governed by a quadratic function whose properties determine their qualitative behavior. By requiring the background field to be real and finite, we derive bounds on the allowed parameters and identify critical cases in which the monopole perturbations become enhanced. We further derive asymptotic expressions for multipole perturbations near the event horizon and at spatial infinity.
Language: English
Open Access status: green
OpenAlex ID: W7203676815
FWCI: 0.838
Cites: 15
Cited by: 1
Related to: 10