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 58 Issue 12 Decpp. Volume 16 Issue 12 Decpp. This effort was unsuccessful because:. The action from which the equations are derived can also be written in polynomial form by suitable redefinitions eibsteinsche the fields.
Volume 34 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.
Volume 56 Issue 12 Decpp. Einstein I have shown in two recently published reports,  how one can arrive at field equations of gravitation, that are in agreement with the postulate of general relativity, i. Einstein’s General Theory of Relativity: Volume 1 Issue Decpp. Volume 53 Issue 12 Decpp.
Volume 27 Issue 12 Decpp. However, the equations can be arranged so that they contain only the metric tensor and not its inverse. Volume 15 Issue 12 Decpp.
Einstein field equations
Exact Solutions of Einstein’s Field Equations. I give the complete consideration again at this place, so that the reader is not forced to uninterruptedly consultate the earlier reports.
The line of development was as follows. Volume 48 Issue 12 Decpp. Einstein, AlbertZur allgemeinen Relativitaetstheorie Nachtrag Like always we assume, that the divergence of the energy tensor of matter vanishes in the sense of the general differential calculus Momentum-Energy theorem. So this simplifies to.
Volume 3 Issue 12 Decpp. Note, that it follows from feldgleichhngen additional term, that in 9 the energy tensor of the gravitational field occurs besides that of matter in the same way, which is not the case in equations 21 l. By that, the general theory of relativity as a logical building is eventually finished.
Einstein, Albert – Die Feldgleichungen der Gravitation
Further simplification is achieved in approximating the actual spacetime as flat spacetime with a small deviation, leading to the linearized EFE. In general relativity, these equations are replaced by the Einstein field equations in the trace-reversed form.
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.
Einstein, EinwteinscheZwei strenge statische Loesungen der Feldgleichungen der einheitlichen Feldtheorie The Einstein field equations EFE may be written in the form: The vacuum field equations obtained when T is identically zero define Einstein manifolds.
Wikisource translations with no original source. Volume 39 Issue 12 Decpp. Efldgleichungen 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 einsteinschhe gives any criterion for the admissibility of that theory.
The solutions to the vacuum field equations are called vacuum solutions. Reversing the trace again would restore the original EFE. Einstein, Einsteinschs der Physik. Volume 2 Issue Decpp. Maxwell’s equations in curved spacetime. This page was last edited on 26 Aprilat Volume 68 Issue 12 Decpp. Volume 44 Issue einsteinsvhe Decpp.
Herr Einstein bemerkt zu der vorliegenden Arbeit Volume 7 Issue 12 Decpp. Additionally, the covariant Maxwell equations are also applicable in free space:.
Contracting the differential Bianchi identity. On rigidly rotating perfect fluid cylinders.
Julian—Gregorian uncertainty All articles with unsourced statements Articles with unsourced statements from January Articles with unsourced statements from October This page was last edited on 18 Decemberfeldgleichungenn Einstein, AlbertUeber Gravitationswellen General relativity Introduction to general relativity Mathematics of general relativity Einstein field equations.