Stability under scalar perturbations and quasinormal modes of 4D Einstein-Born-Infeld dilaton spacetime: exact spectrum

被引：40
作者：
Destounis, Kyriakos [1 ]
Panotopoulos, Grigoris [1 ]
Rincon, Angel [2 ]
机构：
[1] Univ Lisbon, Inst Super Tecn, Ctr Multidisciplinar Astrofis, Av Rovisco Pais, P-1049001 Lisbon, Portugal
[2] Pontificia Univ Catolica Chile, Inst Fis, Av Vicuna Mackenna, Santiago 4860, Chile
来源：
EUROPEAN PHYSICAL JOURNAL C | 2018年 / 78卷 / 02期
基金：
欧盟地平线“2020”;
关键词：
HOLE NORMAL-MODES; BLACK-HOLE; WKB APPROACH; GRAVITATIONAL-FIELD; FOUNDATIONS; UNIVERSE; TENSOR;
D O I：
10.1140/epjc/s10052-018-5576-8
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
We study the stability under scalar perturbations, and we compute the quasinormal modes of the Einstein-Born-Infeld dilaton spacetime in 1 + 3 dimensions. Solving the full radial equation in terms of hypergeometric functions, we provide an exact analytical expression for the spectrum. We find that the frequencies are purely imaginary, and we confirm our results by computing them numerically. Although the scalar field that perturbs the black hole is electrically neutral, an instability similar to that seen in charged scalar perturbations of the Reissner-Nordstrom black hole is observed.
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页数：7
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