This is called the electromagnetic field tensor, usually written as F.

This latter form is sometimes preferred, e. g. for the electromagnetic field tensor.

Electromagnetic field tensor (using a metric signature of + ):

Physical quantities which can be identified with path curvature include the components of the electromagnetic field tensor.

The electromagnetic field tensor transforms under this representation.

For example, in the case of the gauge group U(1), F will be the electromagnetic field tensor.

In spacetime algebra the electromagnetic field tensor has a bivector representation .

The electromagnetic field tensor is an example of a rank two contravariant tensor:

These are analogous to two familiar quadratic invariants of the electromagnetic field tensor in classical electromagnetism.

Classification of electromagnetic fields, for more about the invariants of the electromagnetic field tensor.

An alternative unification of descriptions is to think of the physical entity as the electromagnetic field tensor, as described later on.

The electromagnetic field tensor , a rank-two antisymmetric tensor.

Dual electromagnetic field tensor:

Many pp-wave spacetimes admit an electromagnetic field tensor turning them into exact null electrovacuum solutions.

We also need to specify an electromagnetic field by defining an electromagnetic field tensor on our Lorentzian manifold.

The electromagnetic field tensor F constructs the electromagnetic stress-energy tensor T by the equation:

Albert Einstein became affiliated with the theory in 1928 during his unsuccessful attempt to match torsion to the electromagnetic field tensor as part of a unified field theory.

The electromagnetic field tensor is another second order antisymmetric tensor field, with six components: three for the electric field and another three for the magnetic field.

It pays particular attention to the Lorentz group and the causal structure of the theory, but also treats the electromagnetic field tensor, spinors, and the topology of Minkowski spacetime.

Demonstration 2 (em): Einstein-Maxwell equations in the Kerr-Newman spacetime: vector potential, electromagnetic field tensor, invariants, 4-current, Maxwell equations, Einstein-Maxwell equations.

Another example is the values of the electric and magnetic fields (given by the electromagnetic field tensor) and the metric at each point around a charged black hole to determine the motion of a charged particle in such a field.

In electromagnetism, the electromagnetic tensor or electromagnetic field tensor (sometimes called the field strength tensor, Faraday tensor or Maxwell bivector) is a mathematical object that describes the electromagnetic field in space-time of a physical system.

The algebraic classification of bivectors given above has an important application in relativistic physics: the electromagnetic field is represented by a skew-symmetric second rank tensor field (the electromagnetic field tensor) so we immediately obtain an algebraic classification of electromagnetic fields.

Finally (and more technically) Born-Infeld theory can be seen as a covariant generalization of Mie's theory, and very close to Einstein's idea of introducing a nonsymmetric metric tensor with the symmetric part corresponding to the usual metric tensor and the antisymmetric to the electromagnetic field tensor.