## Geometry Seminar - Abstracts

### Talk

Tuesday 7 May 2024, 16:00 - 17:00 in HG00.086

**Sharmila Gunasekaran** (RU)

*Quasi-Einstein manifolds and near-horizon geometries*

### Abstract

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.

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