2005/06/01 by Harald Pfeiffer, HARALD P. PFEIFFER · 30 citations
Mathematics · Physics and Astronomy · #Applied mathematics #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Classical mechanics #Conformal map #Curvature #Einstein #Formalism (music) #General relativity #Geometry #Initial value problem #Lagrangian #Mathematical analysis #Mathematics #Numerical relativity #Physics #Pulsars and Gravitational Waves Research #Theoretical physics #Theory of relativity
paper · doi:10.1142/s0219891605000518
published in Journal of Hyperbolic Differential Equations 02(02), 497-520 (World Scientific)
crossref issued 2005/06/01 · crossref published 2005/06/01 · crossref published-print 2005/06/01 · openalex publication_date 2005/06/01 · crossref created 2005/06/08 · crossref published-online 2011/11/21 · crossref deposited 2019/08/07 · openalex created_date 2025/10/10 · crossref indexed 2026/08/05 · openalex updated_date 2026/08/06
The conformal method for constructing initial data for Einstein's equations is presented in both the Hamiltonian and Lagrangian picture (extrinsic curvature decomposition and conformal thin sandwich formalism, respectively), and advantages due to the recent introduction of a weight-function in the extrinsic curvature decomposition are discussed. I then describe recent progress in numerical techniques to solve the resulting elliptic equations, and explore innovative approaches toward the construction of astrophysically realistic initial data for binary black hole simulations.