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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Furthermore one derives instead of equation 22 l. For many years the cosmological constant was almost universally considered to be 0. Volume 36 Issue 12 Decpp. Volume 73 Issue 12 Decpp. Authors including Einstein have used a different sign in their definition for the Ricci tensor which results in the sign of the constant on the right side being negative.
Spacetime concepts Spacetime manifold Equivalence principle Lorentz transformations Minkowski space. Einstein, AlbertDer Energiesatz in der allgemeinen Relativitaetstheorie From the well known Riemann ian covariant of fourth rank, the following covariant of second rank is derived:.
The relativity postulate in its general form that makes the space-time coordinates to physically meaningless parameters, is feldglichungen with einsteinscge necessity to a very specific theory of gravitation that explains the perihelion motion of mercury.
One way of solving the field equations is to make an approximation, namely, that far from the source s of gravitating matter, the gravitational field is very weak and the spacetime approximates that of Minkowski space. Volume 8 Issue 12 Decpp. The orbit of a free-falling particle satisfies. 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.
Zeitschrift für Naturforschung A
Volume 56 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. Einstein, AlbertDie Feldgleichungen der Gravitation However, the general relativity postulate offers nothing new about the essence of the other natural processes, which wasn’t already taught feldgleichungfn the special theory of relativity.
Volume 4 Issue 9 Seppp. These equations are used to study phenomena such as gravitational waves. Einstein, AlbertBemerkungen zu der Abhandlung von E. Principle of relativity Galilean relativity Galilean transformation Special relativity Doubly special relativity.
The Field Equations of Gravitation – Wikisource, the free online library
Volume 20 Issue 12 Decpp. The solutions to einxteinsche vacuum field equations are called vacuum solutions. Fedlgleichungen 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.
Afterwards I found, that those equations in general correspond to covariant ones, if the scalar of the energy tensor of “matter” vanishes.
About the article Received: If “matter” exists in the considered space, then its energy tensor appears on the right hand side of 2 or 3.
User Account Log in Register Help. Volume 64 Issue 12 Decpp.
Translation:The Field Equations of Gravitation
Einsteische 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. Volume 14 Issue 12 Decpp. Volume 15 Issue 12 Decpp. In fact, when fully written out, the EFE are a system of ten coupled, nonlinear, hyperbolic-elliptic partial differential equations.
Einstein, Albert; Grommer, J. Recently I find now, that one eisteinsche 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.
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Sitzungsberichte der Preussischen Akademie der Wissenschaften zu Berlin: Einstein, AlbertNachtrag. 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 Ffldgleichungen geometry.
The metric is then written feldgleicnungen 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. Volume 21 Issue 12 Decpp.
This is often taken as equivalent to the covariant Maxwell equation from which it is derived. These equations, together with the geodesic equation which dictates how freely-falling matter moves through space-time, form the core of the mathematical formulation of general relativity.
The field equations for vacuum, upon which I based the explanation of the perihelion motion of mercury, remain untouched by this modification.