Einstein, Albert, Die Feldgleichungen der Gravitation, Image; Thumbnail overview · Document information · None; Thumbnails. Articles by A. Einstein from “Sitzungsberichte der Preussischen Akademie der Wissenschaften zu Einstein, Albert, Die Feldgleichungen der Gravitation, . Title: Die Feldgleichungen der Gravitation. Authors: Einstein, Albert. Publication: Sitzungsberichte der Königlich Preußischen Akademie der Wissenschaften.

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Volume 68 Issue 12 Decpp. The Einstein field equations EFE may be written in the form: Volume 63 Issue 12 Decpp. Volume 27 Issue 12 Decpp.

Die Feldgleichungen der Gravitation

For the following, I request the reader to use the derivations given on p. Spacetime manifold Equivalence principle Lorentz transformations Minkowski space.

Applying these simplifying assumptions to the spatial components of the geodesic equation gives. Volume 2 Issue Decpp. Retrieved from ” https: Volume 33 Issue 12 Decpp. Retrieved from ” https: Volume 70 Issue 12 Decpp.

Volume 38 Issue 12 Decpp.

Note, that it follows from the additional term, that in 9 the energy tensor of the gravitational field occurs besides that felldgleichungen matter in the same way, which is not the case in equations 21 l. Einstein—Hilbert action Equivalence principle Exact solutions in general relativity General relativity resources History of general relativity Hamilton—Jacobi—Einstein equation Mathematics of general relativity Numerical relativity Ricci calculus.


The reasons that drove me to the introduction of the second member on the right-hand side of 2a and 6become clear from the following considerations, that are completely analogous to those given at the place just mentioned p. For example, there is no known complete solution for a spacetime with two massive bodies in it which is a theoretical model of a binary star system, for example.

Archived from the original on Volume 73 Issue 12 Decpp.

Einstein, AlbertSemi-Vektoren und Spinoren Relevant mathematics Four-vector Derivations of relativity Spacetime diagrams Differential geometry Curved spacetime Mathematics of general relativity Spacetime topology. Volume 72 Issue 12 Decpp. This effort was unsuccessful because:. De Gruyter Online Google Scholar. General relativity Introduction to general relativity Mathematics of general relativity Einstein field equations.

Volume 20 Issue 12 Decpp. Volume 24 Issue 12 Decpp. The relationship between the metric tensor and the Einstein tensor allows the EFE to be written as a set of non-linear partial differential equations when used in this way. Volume 54 Issue einseinsche Decpp. The solutions of the Einstein field equations are metrics of spacetime. First, the determinant feldgleichunngen the metric in 4 dimensions can be written:. Volume 15 Issue 12 Decpp. The field equations for vacuum, upon which I based the explanation of the perihelion motion of mercury, remain untouched by this modification.

The action from which the equations are derived can also be written in polynomial form by suitable redefinitions of the fields.


See all formats and pricing Online. Volume 41 Issue 12 Decpp. This is often taken as einsteinscje to the covariant Maxwell equation from which it is derived. I have shown in two recently published reports, [1] how one can arrive at field equations of gravitation, that are in agreement with the postulate of general relativity, i.

Volume 4 Issue 9 Einsteknschepp. The EFE can then einstejnsche written as.

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Volume 71 Issue 12 Decpp. The first equation asserts that the 4- divergence of the two-form F is zero, and the second that its exterior derivative is zero. My opinion regarding this issue, recently expressed at this place, was erroneous.

Flat Minkowski space is the simplest example of a vacuum solution. Einstein I have shown in two recently published reports, [1] how one can arrive at field equations of gravitation, that are in agreement with the postulate of general relativity, i. Nontrivial examples include the Schwarzschild solution and the Kerr solution.

Einstein, AlbertNachtrag. Volume 28 Issue 12 Decpp.