Cauchy problems for Einstein equations in three-dimensional spacetimes
- Author(s)
- Piotr T. Chruściel, Wan Cong, Théophile Quéau, Raphaela Wutte
- Abstract
We analyze existence and properties of solutions of two-dimensional general relativistic initial data sets with a negative cosmological constant, both on spacelike and characteristic surfaces. A new family of such vacuum spacelike data parameterised by poles at the conformal boundary at infinity is constructed. We review the notions of global Hamiltonian charges, emphasizing the difficulties arising in this dimension, both in a spacelike and characteristic setting. One or two, depending upon the topology, lower bounds for energy in terms of angular momentum, linear momentum, and center of mass are established.
- Organisation(s)
- Gravitational Physics
- External organisation(s)
- Université Paris Saclay, Arizona State University
- Journal
- Classical and Quantum Gravity
- Volume
- 42
- No. of pages
- 64
- ISSN
- 0264-9381
- DOI
- https://doi.org/10.48550/arXiv.2411.07423
- Publication date
- 04-2025
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103028 Theory of relativity, 103012 High energy physics, 101006 Differential geometry
- Keywords
- ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/b5a6f5a0-c035-4c04-99d1-4f79670aa73c