Gauge invariant second order boltzman equation

Atsushi Naruko, Cyril Pitrou, Koyama Kazuya, Misao Sasaki

Research output: Contribution to conferencePaperpeer-review


In this talk, we show the second order Boltzmann equation with polarisation without specifying any gauges. In order to describe a polarisation of photon, we introduce a tensor-valued distribution function. We derive the gauge transformation rules for metric, momentum and distribution function. We correct the previous results for gauge transformtion rule of distribution function in which some terms were missed. The tensor-valued distribution function is a tensor on two dimensional polarisation surface, therefore, we have to consider the change of polarisation surface as well as its transformation rules as a tensorial quantity in the gauge transformation. For a consistency, we check the gauge invariance of the derived equation. Finally, we give a short comment on the observed temperature.

Original languageEnglish
Number of pages4
Publication statusPublished - 2010 Dec 1
Event20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 - Kyoto, Japan
Duration: 2010 Sep 212010 Sep 25


Other20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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