- Autor(in)
- Referenz
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10 Einstein, A., Berliner Berichte 1919, 349.
11 Pauli, W., Theory of Relativity, Pergamon Press 1958.
12 Einstein, A., Berliner Berichte 1915, 844.
13 Einstein, A., Grundlagen der allgemeinen Relativitätstheorie. Leipzig 1916.
14 Tolman, R. C., Relativity, Thermodynamics and Cosmology, Oxford 1934.
15 Einstein, A., Pauli, W., Ann. Mathematics 44 (1943) 431.
16 v. Laue, M., Die Relativitätstheorie, Bd. I, 4. Aufl., Braunschweig 1921.
17 Einstein, A., Berliner Berichte 1916, 1111.
18 Fock, V. A., Theorie von Raum, Zeit und Gravitation. Berlin 1960.
19 Infeld, L., Bull. Acad. Polon. Sci. 2 (1954) 163.
1 Hilbert, D., Die Grundlagen der Physik. Math. Annalen 92 (1924) 1.
20 Birkhoff, G. D., Relativity and Modern Physics. Cambridge 1923.
21 Mphller, C., Ann. Phys. 12 (1961) 118.
22 v. Freud, P., Ann. Mathematics 40 (1939) 417.
23 Mphller, C., Über die Energie nichtabgeschlossener Systeme in der allgemeinen Relativitätstheorie. In: Max-Planck-Festschrift, Berlin 1958, pp. 139 - 153.
2 Treder, H.-J., Die Absorption der Schwerkraft und das Seeliger-Yukawa-Potential, Astron. Nachr. 294 (1973) 193.
3 Treder, H.-J. (ed.), Gravitationstheorie und Äquivalenzprinzip, Berlin 1971.
4 v. Laue, M., Jahrbuch der Radioaktivität und Elektronik 14 (1917) 263.
5 Kohler, M., Z. Phys. 131 (1952) 571;
6 v. Laue, M., Die Relativitätstheorie Bd. II, 3. Aufl., Braunschweig 1953.
7 Rosen, N., Phys. Rev. 57 (1940) 145, 150.
8 Poincare, H., Rend. del. Circ. Mat. di Palermo 21 (1906) 129, 166.
9 Jánossy, L., Treder, H.-J., Acta Phys. Hung. 31 (1972) 367.
Z. Phys. 134 (1953) 286, 306.
- Seitenbereich
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0001 - 0017
- Zusammenfsg.
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However, from N<small>EWTON</small>'s axiom of reaction together with the weak principle of equivalence results that the strong principle of equivalence must be valid for the linear approximation of the field equations with sources. Therefore, the linear approximation of all physically meaningful Lorentz-covariant theories of gravitation is given by the linearized E<small>INSTEIN</small>-equations (with H<small>ILBERT</small>-conditions): \documentclass{article}\pagestyle{empty}\begin{document}$$ g\mu = - 2x(T\mu v - \frac{1}{2}\eta \mu T) $$\end{document}, that is by the ansatz α = 2.
L<small>ORENTZ</small>-covariant theories of gravitation which fulfil E<small>INSTEIN</small>'s weak principle of equivalence and which contain a pure Newtonian theory as an approximation are tensortheories with the linear approximative form \documentclass{article}\pagestyle{empty}\begin{document}$$ g\mu = - x(\alpha T\mu + [1 - \alpha]\eta \mu vT) $$\end{document} for the field equations. In the case of E<small>INSTEIN</small>'s strong principle of equivalence the exact field equations must be the general relativistic E<small>INSTEIN</small>-equations (or the bimetrical E<small>INSTEIN</small>-R<small>OSEN</small>-equations). This follows from the dynamical equations and the B<small>IANCHI</small> identity according to J<small>áNOSSY</small> and T<small>REDER</small>.
The main point of our arguments is L<small>AUE</small>'s postulate of the self-consistency of perfect static systems of isolated gravitational masses. In the lowest order of approximation this self-consistency is only possible if the gravitational matter-tensor is identical with the special-relativistic energy-momentum-tensor <I>T</I><sub>μ<I>v</I></sub>. L<small>AUE</small>'s postulate is fulfilled exactly for the general relativistic field equations according to the theorems of B<small>IRKHOFF</small>, T<small>OLMAN</small> and E<small>INSTEIN</small> and P<small>AULI</small>.
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