Dynamical black holes with prescribed masses in spherical symmetry

2017/02/19 by Jonathan Luk, Luk, Jonathan, Sung‐Jin Oh +3
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.1702.05717

openalex publication_date 2017/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We review our recent work on a construction of spherically symmetric global solutions to the Einstein--scalar field system with large bounded variation norms and large Bondi masses. We show that similar ideas, together with Christodoulou's short pulse method, allow us to prove the following result: Given M_i ≥ M_f>0 and ε>0, there exists a spherically symmetric (black hole) solution to the Einstein--scalar field system such that up to an error of size ε, the initial Bondi mass is M_i and the final Bondi mass is M_f. Moreover, if one assumes a continuity property of the final Bondi mass (which in principle follows from known techniques in the literature), then for M_i>M_f>0, the above result holds without an ε-error.

Citations

• Universality and scaling in gravitational collapse of a massless scalar field

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