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https://doi.org/10.3938/NPSM.68.1262
Scalar Perturbation and Stability of a New Wormhole in Einstein-Born-Infeld Gravity

Jin Young KIM*

Department of Physics, Gunsan National University, Gunsan 54150, Korea
Correspondence to: jykim@kunsan.ac.kr
Received October 2, 2018; Accepted October 4, 2018.
This is an open-access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0/) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We introduce a new method to construct wormholes without adopting exotic matters in Einstein-Born-Infeld gravity with a negative cosmological constant. Contrary to the conventional method, the throat of the wormhole is located at the point where the metric solutions are joined smoothly. Thus, exotic matters are not needed to sustain the throat. We consider the behavior of a minimally coupled scalar field to study the stability of the new wormhole. If we define the quasinormal mode of the scalar field as the purely ingoing flux at the throat of the wormhole, the stability of wormhole can be discussed in analogy with the argument that we use for the stability of a black hole. Because an analytic solution can not be found, we suggest a formalism to find quasinormal modes numerically. The crucial difference from the black hole case is that the coefficient of the second-order derivative term of the radial equation is expanded from $n=-1$, which is contrary to the black hole case where it is expanded from $n=0$.
PACS numbers: 04.20.Dw, 04.70.Dy
Keywords: Wormhole, Einstein-Born-Infeld gravity, Quasinormal mode

February 2019, 69 (2)