Gravitation general relativistic theory

The metric geometry of equilibrium thermodynamics provides an unusual prototype in the rich spectrum of possibilities of differential geometry. Just as Einstein s general relativistic theory of gravitation enriched the classical Riemann theory of curved spaces, so does its thermodynamic manifestation suggest further extensions of powerful Riemannian concepts. Theorems and tools of the differential geometer may be sharpened or extended by application to the unique Riemannian features of equilibrium chemical and phase thermodynamics. 

It should be noted that in 1911 Einstein had expanded his theoretical consideration of noninertial systems and had suggested the general relativistic theory of gravitation. On the basis of this theory Einstein postulated the principle of equivalence the action of a gravitational field is equivalent to the action of accelerated motion of a system. Corresponding mathematical expressions can be interpreted that any mass perturbs the enviromnental space therefore all bodies will move on the trajectories curved in a vicinity of the disturbing mass while approaching it. 

The second volume of the Landau-Lifshitz series on theoretical physics continues directly after volume I and covers the classical theory of fields. It starts with an introduction of Einstein s principle of relativity and a discussion of the special theory of relativity for mechanics. It follows a rather complete presentation of classical electrodynamics including radiation phenomena and scattering of waves of different energy. It concludes with an introduction of gravitational fields, the theory of general relativity and classical relativistic cosmology. 

In 1916 Einstein completed his most widely known book on the special and the general theory of relativity, popularly explained, wrote the first paper on gravitational waves, and became president of the Deutsche Physikalische GeseJlschaft. In 1917 he became ill, suffering successively from a liver ailment, a stomach ulcer, jaundice, and general weakness, but nevertheless he managed to complete the first paper on relativistic cosmology. He did not fully recover until 1920. 

Awkward questions about the electromagnetic and gravitational fields of infinitely many particles in the vacuum remain unanswered. Also, the Dirac theory, amended by the hole proposition is certainly not a one-particle theory, and hence not a relativistic generalization of Schrodinger s equation. 

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