Cauchy problems for Einstein equations in three-dimensional spacetimes

Autor:	Chruściel, Piotr T., Cong, Wan, Quéau, Théophile, Wutte, Raphaela
Rok vydání:	2024
Předmět:	General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	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, emphasising 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. Comment: 66 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.07423 Zobrazit plný text záznamu View this record from Arxiv