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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### Einstein field equations – Wikipedia

Volume 32 Issue 12 Decpp. Dreams of a Final Theory: Prices are subject to change without notice. The vacuum field equations obtained when T is identically zero define Einstein manifolds.

I have shown in two recently published reports, [1] how one feldgleidhungen arrive at field equations of gravitation, that are in agreement with the postulate of general relativity, i. The solutions of the EFE are the components of the metric tensor.

Equivalence principle Riemannian geometry Penrose diagram Geodesics Mach’s principle. Volume 57 Issue 12 Decpp. However, approximations are usually made in these cases. Retrieved from ” https: Wikisource translations with no original source.

Volume 56 Issue 12 Decpp.

Although the Einstein field equations were initially formulated in the context of a four-dimensional theory, some theorists have explored their consequences in n dimensions. Therefore we would like to draw your attention to our House Rules. The cosmological constant term was originally introduced by Einstein to allow for a universe that is not expanding or contracting.

Classical feldgleichhungen Introduction to gravitation Newton’s law of universal gravitation. Fundamental concepts Principle of relativity Theory of relativity Frame of reference Inertial frame of reference Rest frame Center-of-momentum frame Equivalence principle Mass—energy equivalence Special relativity Doubly special relativity de Sitter invariant special relativity World line Riemannian geometry.

Einstein thought of the cosmological constant as an independent parameter, but its term in the field equation can also be moved algebraically to the other side, written as part of the stress—energy tensor:.

From the well known Riemann ian covariant of fourth rank, the following covariant of second rank is derived:. 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.

Sitzungsberichte der Preussischen Akademie der Wissenschaften zu Berlin: This linearization procedure can be used to investigate the phenomena of gravitational radiation. Volume 15 Issue 12 Decpp.

However, the equations can be arranged so that they contain only the metric tensor and not its inverse. Volume 22 Issue 12 Decpp. Reversing the trace again would restore the original EFE.

Volume 14 Issue 12 Decpp. Volume 58 Issue 12 Decpp. Volume 63 Issue 12 Decpp. It leads to the prediction of black holes and to different models of evolution of the universe. However, the general relativity postulate offers nothing new about the essence of the other natural processes, which wasn’t already taught by the special theory of relativity.

Einstein, AlbertUeber die Interferenzeigenschaften des durch Kanalstrahlen emittierten Lichtes Volume 25 Issue 12 Decpp. 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 resulting vacuum energy density is constant and given by.

### Einstein – Annalen der Physik

Volume 69 Issue 12 Decpp. New solutions have been discovered using these methods by LeBlanc [18] and Kohli and Haslam. This page was last edited on 18 Decemberat Einstein, AlbertDie Feldgleichungen der Gravitation Einstein, AlbertKritisches zu einer von Hern. Recently I find now, that one is able to dispense with hypothesis concerning the energy tensor of matter, if one fills in the energy tensor of matter into the field equations in a somehow different way than it was done in my two earlier reports.

So this simplifies to. Einstein, AlbertNachtrag. This page was last edited on 26 Aprilat Volume 4 Issue 9 Seppp.

## Einstein field equations

The first equation asserts that the 4- divergence of the two-form F is zero, and the second that its exterior derivative is zero. Volume 30 Issue 12 Decpp.

Applying these simplifying assumptions to the spatial components of the geodesic equation gives. Introduction to gravitation Newton’s law of universal gravitation. Volume 20 Issue 12 Einsteinsxhepp. Additionally, the covariant Maxwell equations are also applicable in free space:. Volume 71 Einsteinxche 12 Decpp. A respectful treatment of one another is important to us. This effort was unsuccessful because:. Any physical theory equivalent to the special theory of relativity, can be included in the general theory of relativity by means of the absolute differential calculus, without that the latter gives any criterion for the admissibility of that theory.