2009/12/26 by Brian J. Smith, Brian Smith, Smith, Brian
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc
paper · pdf · doi:10.48550/arxiv.0912.5015
to appear in Contemporary Mathematics
openalex publication_date 2009/12/26 · arxiv created 2010/06/14 · arxiv updated 2010/06/15 · openalex created_date 2022/10/02 · openalex updated_date 2026/08/01
The purpose of this work is to construct asymptotically flat, time symmetric initial data with an apparent horizon of prescribed intrinsic and extrinsic geometry. To do this, we use the parabolic partial differential equation for prescribing scalar curvature. In this equation the horizon geometry is contained within the freely specifiable part of the metric. This contrasts with the conformal method in which the geometry of the horizon can only be specified up to a conformal factor.