### Some articles on *covariant*:

Classical Electromagnetism And Special Relativity -

... Using the 4-potential in the Lorenz gauge, an alternative manifestly-

**Covariant**Formulation in Vacuum - 4-potential... Using the 4-potential in the Lorenz gauge, an alternative manifestly-

**covariant**formulation can be found in a single equation (a generalization of an equation due to Bernhard ... For a more comprehensive presentation of these topics, see**Covariant**formulation of classical electromagnetism ...Inhomogeneous Electromagnetic Wave Equation -

... See also

**Covariant**Form of The Inhomogeneous Wave Equation... See also

**Covariant**formulation of classical electromagnetism The relativistic Maxwell's equations can be written in**covariant**form as where J is the four-current ...List Of Formulas In Riemannian Geometry - Christoffel Symbols,

... The

**Covariant**Derivative... The

**covariant**derivative of a vector field with components is given by and similarly the**covariant**derivative of a -tensor field with components is given by For a -tensor field with components this becomes and ... The**covariant**derivative of a function (scalar) is just its usual differential Because the Levi-Civita connection is metric-compatible, the**covariant**derivatives of metrics vanish, The geodesic starting at the ...Mathematics Of General Relativity - Tensorial Derivatives - The

... The formula for a

**Covariant**Derivative... The formula for a

**covariant**derivative of along associated with connection turns out to give curve-independent results and can be used as a "physical definition" of a**covariant**derivative ... coefficients The expression in brackets, called a**covariant**derivative of (with respect to the connection) and denoted by, is more often used in calculations A**covariant**derivative of X can thus be viewed as a ... By definition, a**covariant**derivative of a scalar field is equal to the regular derivative of the field ...Classical Electromagnetism And Special Relativity -

... Maxwell's equations reduce to Maxwell's equations (

**Covariant**Formulation in Vacuum - Maxwell's Equations in Tensor Form... Maxwell's equations reduce to Maxwell's equations (

**Covariant**formulation) where the partial derivatives may be written in various ways, see 4-gradient ... These tensor equations are manifestly-**covariant**, meaning the equations can be seen to be**covariant**by the index positions ... Another**covariant**electromagnetic object is the electromagnetic stress-energy tensor, a**covariant**rank-2 tensor which includes the Poynting vector, Maxwell stress tensor, and ...Related Subjects

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