Black hole multipoles in higher-derivative gravity

被引:16
作者
Cano, Pablo A. [1 ]
Ganchev, Bogdan [2 ]
Mayerson, Daniel R. [1 ]
Ruiperez, Alejandro [3 ,4 ]
机构
[1] Katholieke Univ Leuven, Inst Theoret Fys, Celestijnenlaan 200D, B-3001 Leuven, Belgium
[2] Univ Paris Saclay, Inst Phys Theor, CEA, CNRS, F-91191 Gif Sur Yvette, France
[3] Univ Padua, Dipartimento Fis & Astron, Via Marzolo 8, I-35131 Padua, Italy
[4] INFN, Sez Padova, Via Marzolo 8, I-35131 Padua, Italy
基金
比利时弗兰德研究基金会;
关键词
Black Holes; Effective Field Theories; Black Holes in String Theory; GRAVITATIONAL-WAVES; MOMENTS; FORMULATION;
D O I
10.1007/JHEP12(2022)120
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 consider a broad family of higher-derivative extensions of four-dimensional Einstein gravity and study the multipole moments of rotating black holes therein. We carefully show that the various definitions of multipoles carry over from general relativity, and compute these multipoles for higher-derivative Kerr using the ACMC expansion formalism. We obtain the mass M-n and current S-n multipoles as a series expansions in the dimensionless spin; in some cases we are able to resum these series into closed-form expressions. Moreover, we observe the existence of intriguing relations between the corrections to the parity-odd multipoles S-2n &NOTEQUexpressionL; 0 and M2n+1 &NOTEQUexpressionL; 0 that break equatorial symmetry, and the parity-preserving corrections that only modify S2n+1 and M-2n. Further, we comment on the higher-derivative corrections to multipole ratios for Kerr, and we discuss the phenomenological implications of the corrections to the multipole moments for current and future gravitational wave experiments.
引用
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页数:42
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