2006/09/18 by Eran Rosenthal · 4 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #Quantum Mechanics and Applications #Relativity and Gravitational Theory #gr-qc
paper · pdf · doi:10.1103/physrevd.74.084018
published as Phys.Rev.D74:084018,2006 · 35 pages
arxiv created 2006/09/18 · openalex publication_date 2006/10/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We derive an expression for the second-order gravitational self-force that acts on a self-gravitating compact object moving in a curved background spacetime. First we develop a new method of derivation and apply it to the derivation of the first-order gravitational self-force. Here we find that our result conforms with the previously derived expression. Next we generalize our method and derive a new expression for the second-order gravitational self-force. This study also has a practical motivation: The data analysis for the planned gravitational wave detector LISA requires construction of waveform templates for the expected gravitational waves. Calculation of the two leading orders of the gravitational self-force will enable one to construct highly accurate waveform templates, which are needed for the data analysis of gravitational waves that are emitted from extreme mass-ratio binaries.