Electromagnetic wave propagation inside isotropic material mediacharacterized by dielectric coefficients $\varepsilon_{\mu\nu}(E,B)$ and$\mu_{\mu\nu}(E,B)$ is examined. The regime of the eikonal approximation isconsidered. The Hadamard method of field disturbances is used and thedispersion relations are obtained by solving the Fresnel equation. Someapplications
We use the identification between null singularities of correlators in thebulk with time singularities in the boundary correlators to study the analyticstructure of time-dependent thermal Green functions using the eikonalapproximation for classical solutions in the AdS black hole background. We
We analyze the possibility of inequivalent boundary conditions for a scalarfield propagating in the BTZ black hole space-time. We find that for certainranges of the black hole parameters, the Klein-Gordon operator admits aone-parameter family of self-adjoint extensions. For this range,
The regular finite initial value problem at infinity is used to obtainregularity conditions on the freely specifiable parts of initial data for thevacuum Einstein equations with non-vanishing second fundamental form. Theseconditions ensure that the solutions of the propagation equations implied
The Laser Interferometer Gravitational Observatory (LIGO) has recentlyreached the end of its fifth science run (S5), having collected more than ayear worth of data. Analysis of the data is still ongoing but a positivedetection of gravitational waves, while possible, is
Minkowski's concept of a four-dimensional physical space is a centralparadigm of modern physics. The three-dimensional Maxwellian electrodynamics isuniquely generalized to the covariant four-dimensional form. Is the (1+3)decomposition of the covariant four-dimensional form unique? How do thedifferent sign assumptions of electrodynamics
A dynamical analysis of an effective homogeneous and irrotational Weyssenhofffluid in general relativity is performed using the 1+3 covariant approach thatenables the dynamics of the fluid to be determined without assuming anyparticular form for the space-time metric. The spin contributions
We show existence and uniqueness for timelike minimal submanifolds in ambientLorentz manifolds admitting a time function. The initial value formulationintroduced and the conditions imposed on the initial data are given in purelygeometric terms.
A family of models of counterrotating and rotating relativistic thin discs ofinfinite extension based on a charged and magnetized Kerr-NUT metric areconstructed using the well-known ``displace, cut and reflect'' method extendedto solutions of vacuum Einstein-Maxwell equations. The metric considered has
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