On the two-body problem in general relativity |
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| Institution: | 1. Department of Mathematical Sciences, Bodoland University, Kokrajhar, Assam 783370, India;2. Department of Mathematics, Manipur University, Imphal, Manipur 795003, India;1. Centre for Undergraduate Studies, University of the Punjab, Lahore 54590, Pakistan;2. Department of Mathematics, COMSATS Institute of Information Technology, Lahore, Pakistan;3. Department of Mathematics, Minhaj University, Lahore, Pakistan |
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| Abstract: | We consider the two-body problem in post-Newtonian approximations of general relativity. We report the recent results concerning the equations of motion, and the associated Lagrangian formulation, of compact binary systems, at the third post-Newtonian order (∼1/c6 beyond the Newtonian acceleration). These equations are necessary when constructing the theoretical templates for searching and analyzing the gravitational-wave signals from inspiralling compact binaries in VIRGO and LISA type experiments. |
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