Love numbers and magnetic susceptibility of charged black holes

David Pereniguez; Vitor Cardoso

doi:10.1103/PhysRevD.105.044026

Love numbers and magnetic susceptibility of charged black holes

David Pereniguez^*
, Vitor Cardoso

^*Corresponding author af dette arbejde

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

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Abstract

The response of black holes to companions is of fundamental importance in the context of their dynamics and of gravitational-wave emission. Here, we explore the effect of charge on the static response of black holes. With a view to constraining broader setups, we consider charged geometries in an arbitrary number of spacetime dimensions D > 4. Tensor tidal Love numbers are shown to follow a power law in the H , and thus vanish at extremality. In contrast, the black hole charge Q excites new modes of polarization in the vector sector that are otherwise not responsive in the neutral limit. In four dimensions, Love numbers and magnetic susceptibilities vanish for all values of the charge that respect the extremality bound. Using the theory of Fuchsian equations we are able to obtain analytical results in most cases, even beyond the hypergeometric instances.

Originalsprog	Engelsk
Artikelnummer	044026
Tidsskrift	Physical Review D
Vol/bind	105
Udgave nummer	4
Antal sider	14
ISSN	2470-0010
DOI	https://doi.org/10.1103/PhysRevD.105.044026
Status	Udgivet - 11 feb. 2022

Finansiering

D. P. gratefully acknowledges the hospitality of the group at CENTRA. D. P. thanks Francisco Duque, Rodrigo Vicente, Laura Bernard, Marc Casals and Alexandre Le Tiec for interesting conversations. D. P. is funded in part by a Centro de Excelencia Internacional UAM/CSIC FPI Predoctoral grant. V. C. is a Villum Investigator supported by VILLUM FONDEN (Grant No. 37766) and a DNRF Chair supported by the Danish National Research Foundation. This project has received funding from the European Union's Horizon 2020 research and innovation programme under the Marie SklodowskaCurie Grant Agreement No. 101007855. We thank FCT for financial support through Project No. UIDB/00099/2020. We acknowledge financial support provided by FCT/Portugal through Grants No. PTDC/MAT-APL/30043/2017 and No. PTDC/FIS-AST/7002/2020. The authors would like to acknowledge networking support by the GWverse COST Action No. CA16104, "Black holes, gravitational waves and fundamental physics,"

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10.1103/PhysRevD.105.044026

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https://arxiv.org/pdf/2112.08400.pdf

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Citationsformater

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