Multipole radiation in a collisonless gas coupled to electromagnetism or scalar gravitation
Sebastian Bauer (Universit\"at Duisburg-Essen), Markus Kunze, (Universit\"at Duisburg-Essen), Gerhard Rein (Universit\"at Bayreuth), Alan, D. Rendall (Max-Planck-Institut f\"ur Gravitationsphysik, Golm)
TL;DR
This paper derives radiation formulas for large particle systems interacting via electromagnetism or scalar gravity, analogous to the Einstein quadrupole formula, within relativistic kinetic models.
Contribution
It introduces a unified approach to derive radiation formulas for Vlasov-Maxwell and Vlasov-Nordström systems, extending classical results to relativistic kinetic models.
Findings
Derived a radiation formula similar to Einstein's quadrupole formula
Unified treatment for electromagnetic and scalar gravitational interactions
Applicable to large particle ensembles in relativistic regimes
Abstract
We consider the relativistic Vlasov-Maxwell and Vlasov-Nordstr\"om systems which describe large particle ensembles interacting by either electromagnetic fields or a relativistic scalar gravity model. For both systems we derive a radiation formula analogous to the Einstein quadrupole formula in general relativity.
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