Black holes with intrinsic spin

Abstract

Abstract:We analyze the general black hole solutions to the four dimensional STU model recently constructed by Chow and Compère. We define a dilute gas limit where the black holes can be interpreted as excited states of an extremal ground state. In this limit we express the black hole entropy and the excitation energy in terms of physical quantities with no need for parametric charges. We discuss a dual microscopic CFT description that incorporates all electric and magnetic charges. This description is recovered geometrically by identification of a near horizon BTZ region. We construct the subtracted geometry with no restrictions on charges by analyzing the scalar wave equation in the full geometry. We determine the matter sources that support the subtracted geometry by studying a scaling limit and show that the general geometry permits a dilute gas description with parameters that we specify.

AdS2 holographic dictionary

“…The running dilaton solutions uplift to so called 'subtracted geometries' [33][34][35][36][37][38][39]. As was shown in [37] for the static solutions, the subtracted geometries can be obtained (besides the original subtraction procedure [33,34], scaling limits [35], and Harrison transformations [36,38]) through a decoupling limit of generic multi-charge non extremal asymptotically flat black holes of the STU model in four dimensions [40][41][42][43][44].…”

“…Setting the Maxwell field in (1.1) consistently to zero results in the Jackiw-Teitelboim model [31,32], which has been discussed recently in [17,20,21]. A second motivation for the EMD theory (1.1) is that it provides a holographic description of the so called 'subtracted geometries' [33][34][35][36][37][38][39]. These are asymptotically conformally AdS 2 × S 2 or AdS 2 × S 3 black holes that can be obtained through a 'subtraction' procedure [33,34] from generic multi-charge non extremal asymptotically flat black holes in four [40][41][42][43][44] and five [45] dimensions.…”

Wave equation for the Wu black hole

“…The literature with the separability analysis of the wave equations and the subtracted geometry of the asymptotically flat solutions [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] is much richer and complete than the number of studies on the asymptotically anti-de Sitter (AdS) spacetimes, including the recent most general solution for the maximally supersymmetric ungauged supergravity [16][17][18]. The remarkable structure of separability seen in these works has also been found in some gauged supergravity solutions [19][20][21][22][23][24][25][26].…”

General relation between Aretakis charge and Newman-Penrose charge

“…Another area of application which already received preliminary discussion in [9] is extremal 4d black holes in STU supergravity [16,17,18,19] and their generalizations, including a study of the Aretakis charge and its dualities for the extremal version of their "subtracted geometry" limit [20,21,22].…”