Properties of the particle model in the null gauge

EMANUEL GALLO; OSVALDO M. MORESCHI

Varsovia

Conferencia; GR20, 20th International Conference on General Relativity; 2013

International Society on General Relativity and Gravitation

There are several ways in which one can approach the notion of compact object in general relativity; for example:* From the notion of isolated systems; through the study of asymptotically flat spacetimes. * Through the study of local solutions to distributions with support on a timelike world line.   The previous situation motivates the study of extending the particle paradigmto the relativistic regime, in which the gravitational radiation effectsare taken into account in the calculation of the equations of motion.In a previous work we have studied the notion of a particle where the seedswere solutions of linearized gravity calculated from retarded Green'sfunctions of the first order equations in the harmonic gauge.We here present an approach to the particle paradigm, whereno restriction on the weakness of the sources are imposed, nor slow motion is assumed.In particular we present a workable model for the binary system in general relativity.The construction is based on the null gauge and is expected to provide with better results for the regime where back reaction to the motion, due to the emission ofgravitational radiation, is important.