The 4th Conference of the Polish Society on Relativity

Session

Mathematical Physics 1

27 Sept 2017, 12:05

Kazimierz Dolny, Poland

25. Supersymmetric Near-Horizon Geometries

Andrea Fontanella (University of Surrey)

27/09/2017, 12:05

Oral presentation (preferred)

The horizon conjecture, proved in a case by case basis, states that every supersymmetric smooth horizon admits an $sl(2, \mathbb{R})$ symmetry algebra. However it is unclear how string corrections modify the statement. In this talk I will present the analysis of supersymmetric near-horizon geometries in heterotic supergravity up to two loop order in sigma model perturbation theory, and show...

64. Spacetime near an extremal horizon

Carmen Li (The University of Warsaw)

27/09/2017, 12:25

Oral presentation (preferred)

I will discuss the inverse problem of determining the spacetime near an extremal Killing horizon with a prescribed, spatially compact near-horizon geometry. I will show that in Einstein-Maxwell theory with a cosmological constant, the Einstein and Maxwell equations for the infinitesimal deformations transverse to the horizon reduce to a system of elliptic PDEs for the extrinsic curvature of a...

28. Linear perturbations of the near horizon extremal Kerr geometry

Sebastian Szybka (Jagiellonian University)

27/09/2017, 12:45

Oral presentation (preferred)

We show nonexistence of non-trivial solutions of the linearised near-horizon equations at the Kerr metric.