Black holes in a gravitational field: the non-linear static love number of Schwarzschild black holes vanishes

被引:3
作者
Kehagias, A. [1 ,2 ]
Riotto, A. [2 ,3 ]
机构
[1] Natl Tech Univ Athens, Phys Div, Athens 15780, Greece
[2] Dept Theoret Phys, 2 Quai E Ansermet, CH-1211 Geneva 4, Switzerland
[3] Grav Wave Sci Ctr, 2 Quai E Ansermet, CH-1211 Geneva 4, Switzerland
基金
瑞士国家科学基金会;
关键词
GR black holes; gravity;
D O I
10.1088/1475-7516/2025/05/039
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We show that the static tidal Love number of Schwarzschild black holes in four dimensions and in the vacuum vanishes at any order in a parity-even external tidal force. We also identify the underlying non-linear symmetry which is responsible for this result and becomes manifest when the black hole metric is written in axsymmetric static Weyl coordinates.
引用
收藏
页数:16
相关论文
共 49 条
[1]  
[Anonymous], 2021, arXiv
[2]   Hidden symmetry of the static response of black holes: applications to Love numbers [J].
Ben Achour, Jibril ;
Livine, Etera R. ;
Mukohyama, Shinji ;
Uzan, Jean-Philippe .
JOURNAL OF HIGH ENERGY PHYSICS, 2022, 2022 (07)
[3]   Ladder symmetries of black holes and de Sitter space: love numbers and quasinormal modes [J].
Berens, Roman ;
Hui, Lam ;
Sun, Zimo .
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2023, (06)
[4]   Relativistic theory of tidal Love numbers [J].
Binnington, Taylor ;
Poisson, Eric .
PHYSICAL REVIEW D, 2009, 80 (08)
[5]   Exact solution of Kerr black hole perturbations via CFT2 and instanton counting: Greybody factor, quasinormal modes, and Love numbers [J].
Bonelli, Giulio ;
Iossa, Cristoforo ;
Lichtig, Daniel Panea ;
Tanzini, Alessandro .
PHYSICAL REVIEW D, 2022, 105 (04)
[6]   Love symmetry [J].
Charalambous, Panagiotis ;
Dubovsky, Sergei ;
Ivanov, Mikhail M. .
JOURNAL OF HIGH ENERGY PHYSICS, 2022, 2022 (10)
[7]   Hidden Symmetry of Vanishing Love Numbers [J].
Charalambous, Panagiotis ;
Dubovsky, Sergei ;
Ivanov, Mikhail M. .
PHYSICAL REVIEW LETTERS, 2021, 127 (10)
[8]   On the vanishing of Love numbers for Kerr black holes [J].
Charalambous, Panagiotis ;
Dubovsky, Sergei ;
Ivanov, Mikhail M. .
JOURNAL OF HIGH ENERGY PHYSICS, 2021, 2021 (05)
[9]   Tidal deformation and dissipation of rotating black holes [J].
Chia, Horng Sheng .
PHYSICAL REVIEW D, 2021, 104 (02)
[10]   Can we identify primordial black holes? Tidal tests for subsolar-mass gravitational-wave observations [J].
Crescimbeni, Francesco ;
Franciolini, Gabriele ;
Pani, Paolo ;
Riotto, Antonio .
PHYSICAL REVIEW D, 2024, 109 (12)