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 63 Issue 12 Decpp. Einstein, AlbertKritisches zu einer von Hern.
Volume 21 Issue 12 Decpp. Volume 70 Issue 12 Decpp. Fundamental concepts Principle of relativity Theory of relativity Frame of reference Inertial frame elnsteinsche 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 field equations
From the well known Riemann ian covariant of fourth rank, the following covariant of second rank is derived:. The action from which the equations are feldgleicnungen can also be written in polynomial form by suitable redefinitions of the fields.
These are commonly referred to as post-Newtonian approximations. It leads to the prediction of black holes and to different models of evolution of the universe. Volume 15 Issue 12 Decpp. Volume 67 Issue 12 Decpp. The solutions to the vacuum field equations are called vacuum solutions. The relationship between the metric tensor and the Einstein tensor allows the EFE einsteinschs be written as a set of non-linear partial differential equations when used in this way.
Similar to the way that electromagnetic fields are determined using charges and currents via Maxwell’s equationsthe EFE are used to determine the spacetime geometry resulting from the presence of mass—energy and linear momentum, that is, they determine the metric tensor of spacetime for a given arrangement of stress—energy in the spacetime.
Einstein, AlbertDie formale Grundlage der allgemeinen Relativitaetstheorie Volume 6 Issue 12 Decpp. Background Principle of relativity Einsteineche relativity Galilean transformation Special relativity Doubly special relativity.
Volume 54 Issue 12 Decpp. The relativity postulate in its general form that makes the space-time coordinates to physically meaningless parameters, is directed with stringent necessity to a very specific theory of gravitation that explains the perihelion motion of mercury. Volume 24 Issue 12 Decpp. einsteinxche
Flat Minkowski space is the simplest example of a vacuum solution. Each tensor has 10 independent components.
Herr Einstein bemerkt zu der vorliegenden Arbeit Volume 8 Issue 12 Decpp. The inertial trajectories of particles and radiation veldgleichungen in the resulting geometry are then calculated using the geodesic equation. 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.
Volume 42 Issue 12 Decpp. Applying these simplifying assumptions to the spatial components of the geodesic equation gives. The metric is then written as the sum of the Minkowski metric and a term representing the deviation of the true metric from the Minkowski metricwith terms that are quadratic in or higher powers of the deviation being ignored.
Taking the trace with respect to the metric of both sides of the EFE one gets. Volume 46 Issue 12 Decpp. This will reduce to its Newtonian counterpart, provided. This page was last edited on 18 Decemberat Einstein auf Karl Schwarzschild The orbit of a free-falling particle satisfies. 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 51 Issue 12 Decpp. Volume 72 Eineteinsche 12 Decpp. Einstein, AlbertDer Energiesatz in der allgemeinen Relativitaetstheorie Nontrivial examples include the Schwarzschild solution and the Kerr solution. Einstein, AlbertUeber eine naheliegende Ergaenzung des Fwldgleichungen der allgmeinen Relativitaetstheorie Julian—Gregorian uncertainty All articles with unsourced statements Articles with unsourced statements from January Articles with unsourced statements from October Volume 14 Issue 12 Decpp.
Einstein, Albert – Die Feldgleichungen der Gravitation
Volume 9 Issue 12 Decpp. Einstein, AlbertGedaechtnisrede des Hrn. Einstein, AlbertQuantentheorie des einatomigen idealen Gases This work is in the public domain in the United States because it was published before January 1, General relativity Special relativity Doubly special relativity.