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This content will become publicly available on April 11, 2026

Title: Cauchy problems for Einstein equations in three-dimensional spacetimes
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.  more » « less
Award ID(s):
1928930
PAR ID:
10600028
Author(s) / Creator(s):
; ; ;
Publisher / Repository:
IOP Publishing Ltd
Date Published:
Journal Name:
Classical and Quantum Gravity
Volume:
42
Issue:
8
ISSN:
0264-9381
Page Range / eLocation ID:
085010
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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