Transformations of transverse field structures in a bistable Fabry — Perot interferometer

We study the Horndeski vector-tensor theory that leads to second order equations of motion and contains a non-minimally coupled abelian gauge vector field. This theory is remarkably simple and consists of only 2 terms for the vector field, namely: the standard Maxwell kinetic term and a coupling to the dual Riemann tensor. Furthermore, the vector sector respects the U(1) gauge symmetry and the theory contains only one free parameter, M 2 , that controls the strength of the non-minimal coupling. We explore the theory in a de Sitter spacetime and study the presence of instabilities and show that it corresponds to an attractor solution in the presence of the vector field. We also investigate the cosmological evolution and stability of perturbations in a general FLRW spacetime. We find that a sufficient condition for the absence of ghosts is M 2 > 0. Moreover, we study further constraints coming from imposing the absence of Laplacian instabilities. Finally, we study the stability of the theory in static and spherically symmetric backgrounds (in particular, Schwarzschild and Reissner-Nordström-de Sitter). We find that the theory, quite generally, do have ghosts or Laplacian instabilities in regions of spacetime where the non-minimal interaction dominates over the Maxwell term. We also calculate the propagation speed in these spacetimes and show that superluminality is a quite generic phenomenon in this theory.

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Nonlinear structures in a wide-aperture semiconductor interferometer when stimulated recombination is important

Balkarei

Evtikhov

Kogan

1999

Quantum Electron.

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Controlled optical structures in a nonlinear system involving the suppression of low spatial frequencies in the feedback loop

Nikolaev¹,

Larichev²,

Shmal'gauzen³

2000

Quantum Electron.

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Transformations of transverse field structures in a bistable Fabry — Perot interferometer

Abstract: Recent progress in the theoretical understanding of hadronic jet fragnientation is reviewed, with an emphasis on those aspects that can b e treated in perturbation theory after resummation of large logarithms and on their inclusion in Monte Carlo event generators.

Cited by 2 publications

References 18 publications

Nonlinear structures in a wide-aperture semiconductor interferometer when stimulated recombination is important

Nonlinear structures in a wide-aperture semiconductor interferometer when stimulated recombination is important

Controlled optical structures in a nonlinear system involving the suppression of low spatial frequencies in the feedback loop

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