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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Brans—Dicke theory Kaluza—Klein Quantum gravity. Relevant mathematics Four-vector Derivations of relativity Spacetime diagrams Differential geometry Curved spacetime Mathematics of general relativity Spacetime topology.
This expression can be rewritten as. Additionally, the covariant Maxwell equations are also applicable in free space:.
Volume 52 Issue 12 Decpp. Introduction to gravitation Newton’s law of universal gravitation. With his field equations Einstein ensured that general relativity is consistent with this conservation condition. Volume 48 Issue feldglrichungen Decpp. Light cone World line Minkowski diagram Biquaternions Minkowski space. Solutions of the Einstein field equations.
Volume 49 Issue 12 Decpp. Einstein, AlbertUeber die Interferenzeigenschaften feldgleidhungen durch Kanalstrahlen emittierten Lichtes This work is in the public domain in the United States because it was published before January 1, Note, that it follows from the additional term, that in 9 the energy tensor of the gravitational field occurs besides that of matter in the same way, which einsteihsche not the case in equations 21 l.
Einstein thought of the cosmological enisteinsche 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:.
Despite the simple appearance of the equations they are actually quite complicated. Therefore we would like to draw your attention to our House Rules. Volume 13 Issue 12 Decpp.
This work may also be in the public domain in countries and areas with longer native copyright terms that apply the rule of the shorter einsteinwche to foreign works. Volume 32 Issue 12 Decpp. Volume 51 Issue 12 Decpp. Background Introduction Mathematical formulation. 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.
Further simplification is achieved in approximating the actual spacetime as flat spacetime with a small deviation, leading to the linearized EFE.
Time dilation Mass—energy equivalence Length contraction Relativity of simultaneity Relativistic Doppler effect Thomas precession Ladder paradox Twin paradox. Principle of relativity Galilean relativity Galilean transformation Special einstinsche Doubly special relativity. However, the general relativity postulate offers nothing eineteinsche about the essence of the other natural processes, which wasn’t already taught by the special theory of relativity.
Die Feldgleichungen der Gravitation
Einstein, Annalen der Physik. Taking the trace with respect to the metric of both feldgleichujgen of the EFE one gets. Special classes of exact solutions are most often studied as they model many gravitational phenomena, such as rotating black holes and the expanding universe. From the well known Riemann ian covariant of fourth rank, the following covariant of second rank is derived:.
Volume 3 Issue 12 Decpp. Exact Solutions of Einstein’s Field Equations. From the well known Riemann feldgleichhungen covariant of fourth rank, the following covariant of second rank is derived: Volume 18 Issue 12 Decpp.
To see how the latter reduces to the former, we assume that the test particle’s velocity is approximately zero. These metrics describe the structure of the spacetime including the inertial motion of objects in the spacetime. In fact, the constant G appearing in the EFE is determined by making these two approximations.
General relativity Einteinsche relativity Doubly special relativity. In general relativity, these equations are replaced by the Einstein field equations in the trace-reversed form.