Tuesday 7 May 2024, 16:00 - 17:00 in HG00.086
Sharmila Gunasekaran (RU)
Quasi-Einstein manifolds and near-horizon geometries
A near horizon geometry is a notion associated with extreme black holes. Extreme black holes possess event horizons at zero temperature. These horizons are exclusively defined by a specific limiting procedure, defining what is called a near-horizon geometry or, more broadly, a quasi-Einstein equation which governs their properties. Solutions to the quasi-Einstein equation manifest as triples \((M, g, X)\), where \(M\) represents a closed manifold (the horizon), \(g\) denotes a Riemannian metric, and X is a 1-form. The talk will be an overview of these concepts and some relevant results.