Research Seminars @ Illinois

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Tailored for undergraduate researchers, this calendar is a curated list of research seminars at the University of Illinois. Explore the diverse world of research and expand your knowledge through engaging sessions designed to inspire and enlighten.

To have your events added or removed from this calendar, please contact OUR at ugresearch@illinois.edu

Mathematical and Theoretical Physics Seminar: Well-Posed Boundary Conditions for Semi-Classical Euclidean Gravity

Event Type: Seminar/Symposium
Sponsor: Physics Department
Location: Loomis Room 464
Date: Aug 29, 2024 1:00 pm
Speaker: Xiaoyi Liu, University of California, Santa Barbara
Contact: Ljubica Milutinovic
E-Mail: ljubicam@illinois.edu
Phone: 217-300-6393
Views: 198
Originating Calendar: Physics - Mathematical and Theoretical Physics Seminar; 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.

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