Speaker
Description
$2$-dimensional dilaton theories play a central role in discussions of black holes in a variety of approaches to classical and quantum gravity. In this talk I will present a unified framework for black hole thermodynamics of $d$-dimensional static black holes with spherical, toroidal or compact hyperbolic horizon topology satisfying $g_{tt}g_{rr}=-1$ in Schwarzschild gauge by considering the reconstruction of generic such black holes as solutions to integrable $2$-dimensional effective dilaton theories, and thereby as gravitational vacuum solutions to an extended notion of $d$-dimensional quasi-topological gravity. I will illustrate that the generating function determining $f(r) = -g_{tt}$ in the integrated equation of motion provides the mass in a first law of thermodynamics which can be derived for any such black hole by an application of Wald's Noether charge formalism.
| Affiliation | Imperial College London |
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| Link to paper | https://arxiv.org/abs/2604.24101, https://arxiv.org/abs/2603.06786 |
| Career status | Postdoc |