Light rings of five-dimensional geometries

Bianchi, Massimo; Consoli, Dario; Grillo, Alfredo; Morales, José F.

doi:10.1007/jhep03(2021)210

Cited by 20 publications

(21 citation statements)

References 64 publications

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“…1 The discussion can be easily generalised to (A)dS asymptotics with very little effort, as we will see, and with some effort to rotating objects. 2 In rotating case the critical radius varies in an interval rH = rmin < rc < rmax [38][39][40][41]. the null geodesic equation ds 2 = 0 can be separated and put in Hamiltonian form…”

Section: Critical Null Geodesics and Photon-spheresmentioning

confidence: 99%

“…Imposing V ef f = E 2 and V ef f = 0 one finds the critical radius r c and the critical impact parameter b c [40,41]:…”

Section: Critical Null Geodesics and Photon-spheresmentioning

confidence: 99%

“…A common and crucial feature of BHs, D-branes and other compact gravitating objects is the 'photon-sphere' or light-ring (light-halo for rotating objects) formed by the unstable bound orbits of massless particles such as photons 'surfing' the wall separating the asymptotically flat region from the horizon (or the inner region for fuzz balls) [38][39][40][41][42].…”

Section: Introductionmentioning

confidence: 99%

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Turning black-holes and D-branes inside out their photon-spheres

Bianchi,

Di Russo

2021

Preprint

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Very much as extremal Reissner-Nordstöm BHs, D3-branes and their intersecting bound-states in lower dimensions enjoy a remarkable symmetry under conformal inversions that exchange the horizon with infinity and keep the photon-sphere fixed. We explore the implications of this symmetry for the dynamics of massless and massive BPS particles. In particular we find a remarkable identity between the scattering angle of a probe impinging from infinity and the in-spiraling angle of a probe with the very same energy and angular momentum falling into the horizon from inside the photon-sphere. We argue for the identity of the radial actions and Shapiro time-delays for the two processes, when a cutoff regulator or an AdS ambient is adopted. We spell out the detailed conditions for the inversion symmetry to hold in the case of large BPS BHs in four dimensions. We address conformal inversions for other BHs and Dp-branes with photon-spheres in various dimensions with flat or AdS asymptotics. We briefly discuss the fate of the symmetry at the quantum level as well as for non spherically symmetric BHs and branes and sketch potential implications for the holographic correspondence.

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Section: Critical Null Geodesics and Photon-spheresmentioning

confidence: 99%

“…Imposing V ef f = E 2 and V ef f = 0 one finds the critical radius r c and the critical impact parameter b c [40,41]:…”

Section: Critical Null Geodesics and Photon-spheresmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Turning black-holes and D-branes inside out their photon-spheres

Bianchi,

Di Russo

2021

Preprint

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“…λ is known as the Lyapunov exponent and quantifies the chaotic behavior of nearly critical geodesics around the photon-sphere [2,[6][7][8][9]. We write…”

Section: Geodetic Motionmentioning

confidence: 99%

“…with ω c ( ) the frequencies of the (unstable) 'circular' orbits forming the so-called photonsphere, λ the Lyapunov exponent, encoding the damping time of the wave and quantifying the chaotic behaviour of geodesics near the photon-sphere, and n the so-called 'overtone' number [2][3][4][5][6][7][8][9]. The interest in accurate values of ω QN M is two-fold.…”

Section: Introductionmentioning

confidence: 99%

More on the SW-QNM correspondence

Bianchi

Consoli

Grillo

et al. 2022

J. High Energ. Phys.

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We exploit the recently proposed correspondence between gravitational perturbations and quantum Seiberg-Witten curves to compute the spectrum of quasi-normal modes of asymptotically flat Kerr Newman black holes and establish detailed gauge/gravity dictionaries for a large class of black holes, D-branes and fuzzballs in diverse dimensions. QNM frequencies obtained from the quantum periods of SU(2) $$ \mathcal{N} $$ N = 2 SYM with Nf = 3 flavours are compared against numerical results, WKB (eikonal) approximation and geodetic motion showing remarkable agreement. Starting from the master example relating quasi-normal modes of Kerr-Newman black holes in AdS4 to SU(2) gauge theory with Nf = 4, we illustrate the procedure for some simple toy-models that allow analytic solutions. We also argue that the AGT version of the gauge/gravity correspondence may give precious hints as to the physical/geometric origin of the quasi-normal modes/Seiberg-Witten connection and further elucidate interesting properties (such as tidal Love numbers and grey-body factors) that can help discriminating black holes from fuzzballs.

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Correlation functions for open strings and chaos

Ðukić,

Čubrović

2024

J. High Energ. Phys.

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We study the holographic interpretation of the bulk instability, i.e. the bulk Lyapunov exponent in the motion of open classical bosonic strings in AdS black hole/brane/string backgrounds. In the vicinity of homogeneous and isotropic horizons the bulk Lyapunov exponent saturates the MSS chaos bound but in fact has nothing to do with chaos as our string configurations live in an integrable sector. In the D1-D5-p black string background, the bulk Lyapunov exponent is deformed away from the MSS value both by the rotation (the infrared deformation) and the existence of an asymptotically flat region (the ultraviolet deformation). The dynamics is still integrable and has nothing to do with chaos (either in gravity or in field theory). Instead, the bulk Lyapunov scale captures the imaginary part of quasinormal mode frequencies. Therefore, the meaning of the bulk chaos is that it determines the thermal decay rate due to the coupling to the heat bath, i.e. the horizon.

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Light rings of five-dimensional geometries

Cited by 20 publications

References 64 publications

Turning black-holes and D-branes inside out their photon-spheres

Turning black-holes and D-branes inside out their photon-spheres

More on the SW-QNM correspondence

Correlation functions for open strings and chaos

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