New half-range differential approximation for spherically-symmetric radiative transfer.

Spherically Symmetric Solutions in a New Braneworld Massive Gravity Theory

In this paper, a combination of the braneworld scenario and covariant de Rham-Gabadadze-Tolley (dRGT) massive Gravity theory is proposed. In this setup, the five-dimensional bulk graviton is considered to be massive. The five dimensional nonlinear ghost-free massive gravity theory affects the 3-brane dynamics and the gravitational potential on the brane. Following the solutions with spherical s...

Beyond the rigid-ion approximation with spherically symmetric ions.

Parabolic Approximation, Radiative Transfer and Time Reversal

We first present a new formulation of parabolic approximation of the Maxwell equations for heterogeneous dielectric materials. We then discuss rigorous results about selfaveraging scaling limits of parabolic waves in terms of the Wigner distribution function. Among the 6 possible scaling limits two are exactly solvable. We use the Green function to analyze the time reversal operation in turbule...

Spherically Symmetric Dynamical Horizons

We study spherically symmetric dynamical horizons (SSDH) in spherically symmetric Einstein/matter spacetimes. We first determine sufficient and necessary conditions for an initial data set for the gravitational and matter fields to satisfy the dynamical horizon condition in the spacetime development. The constraint equations reduce to a single second order linear “master” equation, which leads ...

Spherically Symmetric Static Spacetimes

In this paper we discuss matter inheritance collineations by giving a complete classification of spherically symmetric static spacetimes by their matter inheritance symmetries. It is shown that when the energy-momentum tensor is degenerate, most of the cases yield infinite dimensional matter inheriting symmetries. It is worth mentioning here that two cases provide finite dimensional matter inhe...