Physics
Scientific paper
Feb 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978gregr...9...95w&link_type=abstract
General Relativity and Gravitation, vol. 9, Feb. 1978, p. 95-100.
Physics
Gravitational Fields, Particle Production, Quantum Theory, Stress Tensors, Energy Methods, Field Theory (Physics), Gravitation Theory, Space-Time Functions, Stress Distribution
Scientific paper
During particle creation in a strong gravitational field, physical considerations suggest that the quantum particle creation must back-react on the space-time geometry. A semiclassical approach is taken to the back-reaction effect, and the classical Einstein tensor is set equal to the expected value of the stress-energy tensor in the given quantum state. A solution to this equation is taken seriously if the characteristic radii of curvature of the space-time are much greater than the Planck length and if the expected fluctuations in the stress-energy tensor in the given quantum state are negligible compared with the expected value of the stress-energy tensor. Five axioms are given which the renormalized stress-energy tensor must satisfy in order to yield a viable theory of back-reaction in the semiclassical framework. If a prescription for the stress-energy tensor exists satisfying all five axioms, then the semiclassical approach is believed to have a good chance of being valid.
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