Mathematics – Logic
Scientific paper
Dec 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998aipc..453..488m&link_type=abstract
Particles, fields and gravitation. AIP Conference Proceedings, Volume 453, pp. 488-497 (1998).
Mathematics
Logic
Quantum Field Theory In Curved Spacetime, Quantum Gravity, Field Theory, Gauge Field Theories
Scientific paper
We discuss various geometric formulations of the equations of gravitational instantons with sources. We show that these equations include as a special case the classical Einstein equations with or without the cosmological constant. We discuss the notion of an Einstein pair to clarify the distinction between the Palatini and the metric variational equations. Our approach naturally leads to the introduction of a cosmological function and a generalized conservation law for the energy-momentum tensor. We also discuss the physical significance of the new conservation condition.
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