Issue |
EPL
Volume 137, Number 4, February 2022
|
|
---|---|---|
Article Number | 49001 | |
Number of page(s) | 6 | |
Section | Gravitation, cosmology and astrophysics | |
DOI | https://doi.org/10.1209/0295-5075/ac56ae | |
Published online | 26 April 2022 |
Scalar perturbation of gravitating double-kink solutions
School of Physics, Xi'an Jiaotong University - Xi'an 710049, China
(a) zhongy@mail.xjtu.edu.cn (corresponding author)
Received: 8 February 2022
Accepted: 18 February 2022
In this letter, a two-dimensional (2D) gravity-scalar model is studied. This model supports interesting double-kink solutions, and the corresponding metric solutions can be derived analytically. Depending on a tunable parameter c, the metric can be symmetric or asymmetric. The Schrödinger-like equation for normal modes of the physical linear perturbation is derived. As c varies, the effective potential can have one or two singular barriers. If c is larger than a critical value, the zero mode will be normalizable, despite of the appearance of a strong repulsive singularity. The double-kink solution is always stable against linear perturbations.
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