A Local Stress Tensor for Gravity Fields

Autor: D. Lynden-Bell
Rok vydání: 2017
Předmět:
Zdroj: Gravity and the Quantum ISBN: 9783319516998
DOI: 10.1007/978-3-319-51700-1_15
Popis: After a discussion of what ought to be meant by a local conservation law in General Relativity, we show physically that the energy density of the gravity field of static spherical systems can be deduced from natural axioms that we state. The result demonstrates that in these cases the energy density in both field and matter can be deduced from the spatial metric but not from the gravitational potential. We demonstrate that although the total energy can be determined from the gravitational potential at large r, nevertheless the distribution of that energy is not contained in the potential. We then derive all components of the stress-energy tensor of the gravity field of spherical systems. Finally we find a three dimensional flat space associated with all asymptotically flat static spaces.
Databáze: OpenAIRE