Second-order gravitational self-force

Details Second-order gravitational self-force Second-order gravitational self-force

2006-09-18

arxiv.org/abs/gr-qc/0609069v1

Phys.Rev.D74:084018,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

35 pages

Scientific paper

10.1103/PhysRevD.74.084018

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 waveforms 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.

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