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Wednesday, January 08, 2025
11:00 AM - 12:00 PM
Online and In-Person Event

High Energy Theory Seminar - POSTPONED

Well-Posed Boundary Conditions for Semi-Classical Euclidean Gravity
Xiaoyi Liu, UC Santa Barbara,

This talk is postponed to a later date.

We consider four-dimensional Euclidean gravity in a finite cavity.  We point out that there exists a one-parameter family of boundary conditions, parameterized by a real constant, where a suitably Weyl-rescaled boundary metric is fixed, and all give a well-posed elliptic system, as opposed to the Dirichlet boundary condition. Focussing on static Euclidean solutions, we derive a thermodynamic first law. Restricting to a spherical spatial boundary, the infillings are flat space or the Schwarzschild solution, and have similar thermodynamics to the Dirichlet case. We study the stability behavior of several geometries under these boundary conditions in both Euclidean and Lorentzian signatures and find two puzzles.

The talk is in 469 Lauritsen.

Contact [email protected] for Zoom information.