UID:
almahu_9949199713002882
Umfang:
VI, 290 p.
,
online resource.
Ausgabe:
1st ed. 1962.
ISBN:
9783642459733
Serie:
Prinzipien der theoretischen Physik / Principles of Theoretical Physics ; 2 / 4
Inhalt:
will be "asymptotically integrable", that is to say, if we displace a vector parallel to itself along a closed curve whose total length is proportional to r, then, as we remove the curve to infinity, the change of the vector that results from the circuit about the curve will tend to zero. In the presence of gravitational radiation the total energy will not be con served, because the waves carry some energy with them; analogous statements apply to the linear momentum, etc. But that is not all; if there is no coordinate 2 system in which the field strengths drop off as 1/r , then there is no possibility to generate out of one vector" at infinity" a whole field of parallel vectors" at infinity". Thus we are unable in the presence of radiation to define, even at infinity, a "rigid displacement", the type of coordinate transformation that is presumably generated by the energy integral. Under these circumstances it is very difficult to see how one can define the "free vector" energy -linear momen tum in a convincing manner. These ambiguities of course do not imply that general relativity lacks quan tities that obey equations of continuity; rather, general relativity suffers in this respect from an embarras de richesse. There is an infinity of such quantities, and our difficulty is to single out a subset and to present these as the "natural" l expressions for energy, linear momentum, etc.
Anmerkung:
Classical Electrodynamics -- Appendices -- General references -- The Special Theory of Relativity -- A. Foundations -- B. Relativistic mechanics and electrodynamics -- C. Relativistic quantum theory -- The General Theory of Relativity -- A. The original version of the theory -- B. Invariant description of the field -- Sachverzeichnis (Deutsch-Englisch) -- Subject Index (English-German).
In:
Springer Nature eBook
Weitere Ausg.:
Printed edition: ISBN 9783642459757
Weitere Ausg.:
Printed edition: ISBN 9783540028406
Weitere Ausg.:
Printed edition: ISBN 9783642459740
Sprache:
Englisch
DOI:
10.1007/978-3-642-45973-3
URL:
https://doi.org/10.1007/978-3-642-45973-3
