Maxwell equations in a curved spacetime: Spin optics approximation
Valeri P. Frolov
Abstract
We study propagation of high-frequency electromagnetic waves in a curved spacetime. We demonstrate how a modification of the standard geometric optics allows one to include the helicity dependent corrections into the equations of motion of circularly polarized beams of radiation. As a result, polarized light rays are still null but not geodesic curves. To achieve these results we construct null frames associated with a set of (nongeodesic) null rays and use these frames for a description of the high-frequency wave propagation. We call this approach spin optics approximation. It is completely covariant and it can be used in an arbitrary time-dependent gravitational field.
Topics & Concepts
PhysicsNull (SQL)Geometrical opticsGeodesicSpacetimeCovariant transformationGeodesics in general relativityClassical mechanicsGravitational waveMaxwell's equationsGeneral relativityGravitoelectromagnetismElectromagnetic radiationPhysical opticsEquations of motionWave propagationWave equationElectromagnetic fieldHelicityOpticsMathematical physicsQuantum mechanicsMathematical analysisClassical field theoryMathematicsComputer scienceDatabasePulsars and Gravitational Waves ResearchCosmology and Gravitation TheoriesBlack Holes and Theoretical Physics