2007/02/20 by James A. Isenberg, JAMES A. ISENBERG · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Einstein #Einstein equations #General relativity #Gravitation #Gravitational field #Gravitational wave #Instability #Linearized gravity #Pulsars and Gravitational Waves Research #Stability (learning theory) #gr-qc
paper · pdf · doi:10.1142/s0218271808011997
published as Int.J.Mod.Phys.D17:265-273,2008
arxiv created 2007/02/20 · openalex publication_date 2008/02/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The analysis of a general multibody physical system governed by Einstein's equations is quite difficult, even if numerical methods (on a computer) are used. Some of the difficulties — many coupled degrees of freedom, dynamic instability — are associated with the presence of gravitational waves. We have developed a number of "waveless approximation theories" (WAT's) which repress the gravitational radiation and thereby simplify the analysis. The matter, according to these theories, evolves dynamically. The gravitational field, however, is determined at each time step by a set of elliptic equations with matter sources. There is reason to believe that for many physical systems, the WAT-generated system evolution is a very accurate approximation to that generated by the full Einstein theory.