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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Zeitschrift für Naturforschung A
Volume 18 Issue 12 Decpp. Volume 60 Issue Ffeldgleichungenpp. The EFE reduce to Newton’s law of gravity by using both the weak-field approximation and the slow-motion approximation. Einstein, AlbertZur Quantentheorie des idealen Feldgleichuungen 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.
Volume 14 Issue 12 Decpp. Wikibooks has a book on the topic of: Volume 25 Issue 12 Decpp. The cosmological constant term was originally introduced by Einstein to allow for a universe that is not expanding or contracting. The existence of a feldgleichungwn constant is thus equivalent to the existence of a non-zero vacuum energy. This linearization procedure can be used to investigate the phenomena of gravitational radiation. Einstein, AlbertDie Feldgleichungen der Gravitation Dreams of a Final Theory: The first equation einsgeinsche that the 4- divergence of the two-form F is zero, and the second that its exterior derivative is zero.
First, the determinant of the metric in 4 dimensions can be written:. Relevant mathematics Four-vector Derivations of relativity Spacetime diagrams Differential geometry Curved spacetime Mathematics of general relativity Spacetime topology.
Exact solutions for the EFE can only veldgleichungen found under simplifying assumptions such as symmetry. Prices do not include postage and handling if applicable. 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.
For many years the cosmological constant was almost universally considered to be 0. One can also discover new solutions of the Einstein field equations via the method of orthonormal frames as pioneered by Ellis and MacCallum.
Reversing the trace again would restore the original EFE. When do Projections Commute? Light cone World line Minkowski diagram Biquaternions Minkowski space.
See all formats and pricing. Volume 59 Issue 12 Decpp.
Einstein, Albert – Die Feldgleichungen der Gravitation
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. Even so, there are numerous cases where the field equations have been solved felldgleichungen, and those are called exact solutions. Volume 23 Issue 12 Decpp.
For example, Maxwell’s equations of electromagnetism are linear in the electric and magnetic fieldsand charge and current distributions i. Volume 32 Issue 12 Decpp. Volume 36 Issue 12 Decpp. Each tensor has 10 independent components. The resulting vacuum energy density is constant and given by. In the course of this, however, one had to introduce the hypothesis, that the scalar of the energy tensor of matter vanishes.
The inertial trajectories feldfleichungen particles and radiation geodesics in the resulting geometry are then calculated using the geodesic equation. Einstein, AlbertZur allgemeinen Relativitaetstheorie ,