摘要：In Einstein-Aether theories with a timelike unit vector field, we study the linear stability of static and spherically symmetric black holes against both even- and odd-parity perturbations. For this purpose, we formulate a gauge-invariant black hole perturbation theory in the background Aether-orthogonal frame where the spacelike property of hypersurfaces orthogonal to the timelike Aether field is always maintained even inside the metric horizon. Using a short-wavelength approximation with large radial and angular momenta, we show that, in general, there are three dynamical degrees of freedom arising from the even-parity sector besides two propagating degrees of freedom present in the odd-parity sector. The propagation speeds of even-parity perturbations and their no-ghost conditions coincide with those of tensor, vector, and scalar perturbations on the Minkowski background, while the odd sector contains tensor and vector modes with the same propagation speeds as those in the even-parity sector (and hence as those on the Minkowski background). Thus, the consistent study of black hole perturbations in the Aether-orthogonal frame on static and spherically symmetric backgrounds does not add new small-scale stability conditions to those known for the Minkowski background in the literature.

关键字：Exact solutions; black holes and black hole thermodynamics in GR and beyond; modified gravity

ISSN号：1475-7516

卷、期、页：期8

发表日期：2024-08-01

期刊分区（SCI为中科院分区）：二区

收录情况：SCI（科学引文索引印刷版）,地学领域高质量科技期刊分级目录（国外T1）,SCIE（科学引文索引网络版）

发表期刊名称：JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS

参与作者：De Felice, Antonio,Mukohyama, Shinji,Tsujikawa, Shinji,Wang, Anzhong

第一作者：张超

论文类型：期刊论文

论文概要：De Felice, Antonio,Mukohyama, Shinji,Tsujikawa, Shinji,Wang, Anzhong,张超，Even- and odd-parity stabilities of black holes in Einstein-Aether gravity，JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS，2024，期8

论文题目：Even- and odd-parity stabilities of black holes in Einstein-Aether gravity