Cauchy problems for Einstein equations in three-dimensional spacetimes

Autor(en)

Piotr T. Chruściel, Wan Cong, Théophile Quéau, Raphaela Wutte

Abstrakt

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(en)

Gravitationsphysik

Externe Organisation(en)

Université Paris Saclay, Arizona State University

Journal

Classical and Quantum Gravity

Band

42

Anzahl der Seiten

64

ISSN

0264-9381

DOI

https://doi.org/10.48550/arXiv.2411.07423

Publikationsdatum

04-2025

Peer-reviewed

Ja

ÖFOS 2012

103028 Relativitätstheorie, 103012 Hochenergiephysik, 101006 Differentialgeometrie

Schlagwörter

ASJC Scopus Sachgebiete

Physics and Astronomy (miscellaneous)

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/b5a6f5a0-c035-4c04-99d1-4f79670aa73c