Graduate students Geometry and Analysis Seminar
- Event Type
- Seminar/Symposium
- Sponsor
- Department of Mathematics
- Location
- Henry Admin Building 143
- Date
- Nov 10, 2023 2:00 pm
- Speaker
- Xinran Yu
- nekim2@illinois.edu
- Views
- 36
- Originating Calendar
- Graduate Student Seminars in Mathematics
Title: Introduction to Lovelock metrics
Abstract: Lovelock metrics serve as one possible extension of Einstein's gravitational theory into higher dimensions. An essential feature of Lovelock metrics lies in their ability to incorporate non-linear dependencies on second-order derivatives of the metric.
Several properties associated with Einstein metrics find their extensions within the realm of Lovelock metrics. For instance, these metrics are critical to the generalized Einstein-Hilbert action, providing a way to derive the Lovelock tensors. Furthermore, a generalization of DeTurck's trick enables us to apply of elliptic regularities within a modified harmonic gauge. Thus, it is demonstrated that asymptotically hyperbolic Lovelock metrics exhibit a comparable behavior within the collar neighborhood of the boundary.