The Einstein and Landau-Lifshitz pseudotensors-A mathematical note on existence

被引:4
|
作者
Crothers, Stephen J. [1 ]
机构
[1] POB 1546,Sunshine Plaza 4558, Maroochydore, Qld, Australia
关键词
General Relativity; Pseudotensor; Conservation of Energy and Momentum; First-Order Intrinsic Differential Invariant;
D O I
10.4006/0836-1398-33.3.268
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
For a closed system, the conservation of energy and momentum has been affirmed through a vast array of experiments. In an attempt to reconcile the General Theory of Relativity with these findings, Einstein constructed, ad hoc, his so-called pseudotensor [A. Einstein, Ann. Phys. 49, 769 (1916)]. Yet this solution fell outside the tensorial mathematical structure of his theory. Landau and Lifshitz also constructed, ad hoc, an even more complex pseudotensor, as a proposed improvement upon the work of Einstein [The Classical Theory of Fields (Addison-Wesley Press, Inc., Cambridge, MA, 1951)]. Their pseudotensor is symmetric, unlike that proposed by Einstein. They advance that their pseudotensor yields a conservation law which also included angular momentum. However, once again, this approach leads to a mathematical construct which is not a tensor and thereby falls outside the very mathematical structure of Einstein's theory. Both pseudotensors, whether that advanced by Einstein or by Landau and Lifshitz, violate the rules of pure mathematics and therefore can hold no place in physics. (C) 2020 Physics Essays Publication.
引用
收藏
页码:268 / 270
页数:3
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