Gordon metric revisited

Abstract

We show that Gordon metric belongs to a larger class of geometries, which are responsible to describe the paths of accelerated bodies in moving dielectrics as geodesics in a metricqµν different from the background one. This map depends only on the background metric and on the motion of the bodies under consideration. As a consequence, this method describes a more general property that concerns the elimination of any kind of force acting on bodies by a suitable change of the substratum metric.

Thermodynamics of a photon gas in nonlinear electrodynamics

“…The one and two loops Heisenberg-Euler effective actions were calculated in [9,23,24] and [25][26][27][28], respectively. Besides vacuum polarization in QED, models of NLED emerge in other contexts such as string theories [29][30][31][32] and in the description of radiation propagation inside specific materials [33][34][35][36].…”

The light rays analogue of a static black hole1)

“…We assume that v α v α = 1 for simplicity. Equation (1) is known as Gordon geometry (or Gordon metric) [2,3]. Generalizations of this result to produce black hole-like solutions are already known, being either kinematical [5,6,7] (for which the geometrical content is strongly dependent upon the motion of the medium) or static [8,9,10] (optical properties strongly dependent upon the metamaterial character of the medium).…”

Thermodynamic instability of nonlinearly charged black holes in gravity’s rainbow

“…In addition, some limitations of the Maxwell field, such as radiation inside specific materials [37][38][39][40] and the description of the self-interaction of virtual electron-positron pairs [41][42][43], motivate one to regard NED [44,45]. Also, taking into account the NED, one can remove both the big bang and the black hole singularities [46][47][48][49][50][51].…”