Year: 2024
Type: article
Abstract: A bstract Tidal Love numbers of anti-de Sitter black holes are understood as linear response coefficients governing how the holographically dual plasma polarizes when the geometry of the space, in which the plasma lives, is deformed. So far, this picture has been applied only to black branes with plane wave perturbations. We fill the gap in the literature by performing the computation of tidal Love numbers for the four-dimensional Schwarzschild solution in global anti-de Sitter, which is dual to a conformal plasma on S 2 . We conclude about the effect of the bulk gravitational perturbations on the boundary metric and stress tensor, responsible for the geometric polarization. The computation of the tidal Love numbers is performed in both Regge-Wheeler gauge and the Kodama-Ishibashi gauge-invariant approach. We spell out how to convert the tidal Love numbers determined in these two formalisms and find perfect agreement. We also relate the Kodama-Ishibashi formalism with the Kovtun-Starinets approach, which is particularly well suited for the holographic analysis of black branes. This allows us to compare with the tidal Love number results for black branes in anti-de Sitter, also finding agreement in the relevant regime.
Source: Journal of High Energy Physics
Institutions: Istituto Nazionale di Fisica Nucleare, Sezione di Roma I, Sapienza University of Rome, Scuola Internazionale Superiore di Studi Avanzati, Universidad de Alcalá, Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, Institut de Ciències del Cosmos, Universitat de Barcelona, Iscte – Instituto Universitário de Lisboa, University of Lisbon, Instituto de Telecomunicações, Instituto Superior Técnico, Centro de Astrofísica e Gravitação
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Awards: G1175115578, G1320645069, G1855990336, G2262748287, G2309174360, G2585926585, G279363373, G288263039, G300979063, G3075808641, G337151945, G34346518, G3480869486, G3690828678, G3780874795, G425668148, G430777504, G4317403835, G4691964718, G5080475149, G5138615903, G5421974903, G5845768719, G5852091828, G586857820, G5883285439, Buracos negros, holografia e transições de fase, G7391727506, G7525315620, G8282926301, G8453797156, G8684520763, G8920660035, G99296377
OpenAlex ID: W4406067277