TL;DR
This paper constructs initial data for boosted Kerr black holes using numerical methods, compares boundary conditions, and tests the Penrose inequality through horizon analysis.
Contribution
It introduces a numerical approach to generate initial data for boosted Kerr black holes and compares different boundary conditions in this context.
Findings
Successful numerical construction of boosted Kerr initial data
Comparison of Bowen-York and puncture boundary conditions
Verification of the Penrose inequality in this setting
Abstract
Initial data for boosted Kerr black hole are constructed in an axially symmetric case. Momentum and hamiltonian constraints are solved numerically using finite element method (FEM) algorithms. Both Bowen-York and puncture boundary conditions are adopted and appropriate results are compared. Past and future apparent horizons are also found numerically and the Penrose inequality is tested in detail.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsBlack Holes and Theoretical Physics · Numerical Methods and Algorithms · Advanced Numerical Methods in Computational Mathematics