Article Title：Energy conservation in GTR
Abstract：
The topics of gravitational field energy and energy-momentum conservation in General Relativity theory have been unjustly neglected by philosophers. If the gravitational held in space free of ordinary matter, as represented by the metric g(ab) itself, can be said to carry genuine energy and momentum, this is a powerful argument for adopting the substantivalist view of spacetime. This paper explores the standard textbook account of gravitational field energy and argues that (a) so-called stress-energy of the gravitational field is well-defined neither locally nor globally; and (b) there is no general principle of energy-momentum conservation to be found in General Relativity. I discuss the nature and justification of the zero-divergence law for ordinary stress-energy, and its possible connection with the failure of General Relativity to realise Mach's principle. (C) 2000 Elsevier Science Ltd. All rights reserved.
Keywords: Einstein; energy conservation; spacetime; gravity waves; substantivalism; Mach's principle
DOI: 10.1016/S1355-2198(00)00004-6
Source：STUDIES IN HISTORY AND PHILOSOPHY OF MODERN PHYSICS
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