Building a particle model based on the null gauge

GALLO EMANUEL; O. M. MORESCHI; MARÍA LUJÁN ROJAS KAUFANN

Villa General Belgrano

Conferencia; Grav 13; 2013

Grupo de Relativida General, FaMAF

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 paradigm to the relativistic regime, in which the gravitational radiation effects are 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 seeds were solutions of linearized gravity calculated from retarded Green?s functions of the first order equations in the harmonic gauge. We here present an approach to the particle paradigm, where no 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 of gravitational radiation, is important.