Titlebook: Classical Field Theory; On Electrodynamics, Florian Scheck Textbook 20121st edition Springer-Verlag Berlin Heidelberg 2012 General Relativ

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Symmetries and Covariance of the Maxwell Equations,he whole Lorentz group on them reveals their full symmetry structure. A good example that illustrates the covariance of Maxwell’s equations is provided by the electromagnetic fields of a point charge uniformly moving along a straight line.

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Maxwell Theory as a Classical FieldTheory,as being the critical elements of the action integral. The Lagrangian function, although not an observable on its own, is not only useful in deriving the equations of motion but is also an important tool for identifying symmetries of the theory and constructing the corresponding conserved quantities, via Noether’s theorem.

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Classical Field Theory of Gravitation,s ℝR.. The first factor is the threedimensional space as it is perceived by an observer at rest while the time axis displays the (coordinate) time that he/she measures on his/her clocks. This spacetime is endowed with the Poincaré group as the invariance group of physical laws and inherits the corresponding specific causality structure.

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,Maxwell’s Equations, local equations which are compatible with the former. This reduction to local phenomena frees the laws from any specific laboratory arrangement and yields what we call Maxwell’s equations proper. These local equations describe an extremely wide range of electromagnetic phenomena.

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Textbook 20121st editionummary of semi-Riemannian geometry as the framework for the classical field theory of gravitation. The chapter concludes with a discussion of the Schwarzschild solution of Einstein‘s equations and the classical tests of general relativity (perihelion precession of Mercury, and light deflection by th

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Hela Haj Mohamed,Samir Belaid,Wady Naanaae theories of the fundamental interactions which nowadays are generally accepted and whose validity has been confirmed by numerous experiments. This chapter describes the foundations for the construction of such a theory, within a classical (i.e. nonquantum) framework. Only when introducing fermioni