Field theory in normal conical coordinates

Source Visualization by Using Statistically Optimized Near-Field Acoustical Holography in Conical Coordinates

Analogue gravity from field theory normal modes?

We demonstrate that the emergence of a curved spacetime ‘effective Lorentzian geometry’ is a common and generic result of linearizing a classical scalar field theory around some non-trivial background configuration. This investigation is motivated by considering the large number of ‘analogue models’ of general relativity that have recently been developed based on condensedmatter physics, and as...

Refringence, field theory and normal modes

In a previous paper [Barceló C et al 2001 Class. Quantum Grav. 18 3595– 610 (Preprint gr-qc/0104001)] we have shown that the occurrence of curved spacetime ‘effective Lorentzian geometries’ is a generic result of linearizing an arbitrary classical field theory around some nontrivial background configuration. This observation explains the ubiquitous nature of the ‘analogue models’ for general re...

Conical diffraction: observations and theory

Conical refraction was produced by a transparent biaxial crystal of KGd(WO4)2 illuminated by a laser beam. The ring patterns at different distances from the crystal were magnified and projected onto a screen, giving rings whose diameter was 265 mm. Comparison with theory revealed all predicted geometrical and diffraction features: close to the crystal, there are two bright rings of internal con...

Fedosov supermanifolds: II. Normal coordinates

The formulation of fundamental physical theories, classical as well as quantum ones, by differential geometric methods nowadays is well established and has a great conceptual virtue. Probably, the most prominent example is the formulation of general relativity on Riemannian manifolds, i.e., the geometrization of the gravitational force; no less important is the geometric formulation of gauge fi...