covariant field
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Covariant classical field theory — In recent years, there has been renewed interest in covariant classical field theory. Here, classical fields are represented by sections of fiber bundles and their dynamics is phrased in the context of a finite dimensional space of fields.… … Wikipedia
Covariant derivative — In mathematics, the covariant derivative is a way of specifying a derivative along tangent vectors of a manifold. Alternatively, the covariant derivative is a way of introducing and working with a connection on a manifold by means of a… … Wikipedia
Covariant formulation of classical electromagnetism — Electromagnetism Electricity · … Wikipedia
Covariant Hamiltonian field theory — Applied to classical field theory, the familiar symplectic Hamiltonian formalism takes the form of instantaneous Hamiltonian formalism on an infinite dimensional phase space, where canonical coordinates are field functions at some instant of time … Wikipedia
Field (physics) — The magnitude of an electric field surrounding two equally charged (repelling) particles. Brighter areas have a greater magnitude. The direction of the field is not visible … Wikipedia
Field equation — A field equation is an equation in a physical theory that describes how a fundamental force (or a combination of such forces) interacts with matter. The four fundamental forces are the gravitational force, the electromagnetic force, the strong… … Wikipedia
Gauge covariant derivative — The gauge covariant derivative (pronEng|ˌgeɪdʒ koʊˌvɛəriənt dɪˈrɪvətɪv) is like a generalization of the covariant derivative used in general relativity. If a theory has gauge transformations, it means that some physical properties of certain… … Wikipedia
Projective vector field — A projective vector field (projective) is a smooth vector field on a semi Riemannian manifold (p.ex. spacetime) M whose flow preserves the geodesic structure of M without necessarily preserving the affine parameter of any geodesic. More… … Wikipedia
Einstein field equations — General relativity Introduction Mathematical formulation Resources Fundamental concepts … Wikipedia
Classical field theory — A classical field theory is a physical theory that describes the study of how one or more physical fields interact with matter. The word classical is used in contrast to those field theories that incorporate quantum mechanics (quantum field… … Wikipedia
Killing vector field — In mathematics, a Killing vector field, named after Wilhelm Killing, is a vector field on a Riemannian manifold (or pseudo Riemannian manifold) that preserves the metric. Killing fields are the infinitesimal generators of isometries; that is,… … Wikipedia
