On the dynamics of near-extremal black holes

Abstract

We analyse the dynamics of near-extremal Reissner-Nordström black holes in asymptotically four-dimensional Anti de Sitter space (AdS 4 ). We work in the spherically symmetric approximation and study the thermodynamics and the response to a probe scalar field. We find that the behaviour of the system, at low energies and to leading order in our approximations, is well described by the Jackiw-Teitelboim (JT) model of gravity. In fact, this behaviour can be understood from symmetry considerations and arises due to the breaking of time reparametrisation invariance. The JT model has been analysed in considerable detail recently and related to the behaviour of the SYK model. Our results indicate that features in these models which arise from symmetry considerations alone are more general and present quite universally in near-extremal black holes.

Gravitational anomalies in nAdS2/nCFT1

“…where we defined 18) and c 0 is an integration constant, independent of the spacetime coordinates. Now we examine the dilaton equation of motion (5.13).…”

“…And so the persistent trend in nAdS 2 holography, coined with a 'n' since we are 'near' to our original configuration, is that the deviations away from extremality are controlled by this pattern. For a review see [14].The application of this new framework to black hole physics has shown that, while JT models capture common features [15][16][17][18][19][20], the additional parameters for more general black holes display interactions that are not present in JT gravity [21][22][23][24][25][26][27]. This makes clear that there is new phenomena to be explored, that simpler models do not take into account.Our interest therefore is to further explore the properties of nAdS 2 /nCFT 1 with the goal of building a more refined understanding of the dynamics near the horizon of (near-)extremal black holes.…”

Nearly AdS2 holography in quantum CGHS model

“…It is an open question to account for non-extremal black hole entropy from dual field theory. If the qCGHS model can be embedded in higher dimensional black holes, one can hope to gain a better understanding of non-extremal black holes along the line of recent developments [17,19].…”

“…Among many other interesting papers, partial references include[17][18][19][20][21][22][23]. We apologize for our ignorance about any other important works.…”

Thickening and sickening the SYK model

“…To that end, such alternate descriptions as the Jackiw-Teitelboim gravity, AdS 3 , and a certain 2 + 1-dimensional Kaluza-Klein compactification have all been proposed as purported candidates for the bulk dual [28][29][30][31][32][33][34][35][36].…”