Bulg. J. Phys. vol.35 no.s1 (2008), pp. 489-492

"Gauge" in General Relativity: Second-order general relativistic gauge-invariant perturbation theory

Kouji Nakamura
Department of Astronomical Science, Graduate Univ. for Advanced Studies, Mitaka 181-8588, Japan
Abstract. As in the case of the other gauge field theories, there is so called "gauge" also in general relativity. This "gauge" is unphysical degree of freedom. There are two kinds of "gauges" in general relativity. These are called the first- and the second-kind of gauges, respectively. The gauge of the first kind is just coordinate system on a single manifold. On the other hand, the gauge of the second kind arises in the general relativistic perturbations. Through the precise distinction of these concept of "gauges", we develop second-order gauge-invariant general relativistic perturbation theory.

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