Initial data and black holes for matter models

Abstract

To observe the dynamic formation of black holes in general relativity, one essentially needs to prove that closed trapped surfaces form during evolution from initial data that do not already contain trapped surfaces. We discuss the recent development of the construction of such admissible initial data for matter models. In addition, we extend known results for the Einstein equations coupled to perfect fluids in spherical symmetry and with linear equation of state to unbounded domains. Polytropic equations of state and regularity issues with the direct application of the singularity theorems in general relativity are discussed briefly.

arXiv comment8 pages; updated references in v2, final version

References in corpus (9)

• The 1965 Penrose singularity theorem
• Spherically symmetric spacetimes with a trapped surface
• Quasi-Asimptotically Flat Spacetimes and Their ADM Mass
• The formation of black holes in spherically symmetric gravitational collapse
• Formation of trapped surfaces for the spherically symmetric Einstein-Vlasov system
• No Regularity Singularities Exist at Points of General Relativistic Shock Wave Interaction between Shocks from Different Characteristic Families
• On the asymptotic behavior of static perfect fluids
• Dynamical relativistic liquid bodies
• Initial boundary-value problem for the spherically symmetric Einstein equations with fluids with tangential pressure