Cauchy problems for Einstein equations in three-dimensional spacetimes

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

doi:10.1088/1361-6382/adc4b7

Title: Cauchy problems for Einstein equations in three-dimensional spacetimes

Journal Article · 10 April 2025 · Classical and Quantum Gravity

DOI: https://doi.org/10.1088/1361-6382/adc4b7 · OSTI ID:2555923

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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.

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Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0019470

OSTI ID:: 2555923

Journal Information:: Classical and Quantum Gravity, Journal Name: Classical and Quantum Gravity Journal Issue: 8 Vol. 42; ISSN 0264-9381

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United Kingdom

Language:: English

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