Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2002-10-04
Found.Phys. 33 (2003) 37-64
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Latex 23 pages. To appear in a special issue of Foundations of Physics {\it Thirty Years of Black Hole Physics} edited by L. H
Scientific paper
We present a framework for analyzing black hole backreaction from the point of view of quantum open systems using influence functional formalism. We focus on the model of a black hole described by a radially perturbed quasi-static metric and Hawking radiation by a conformally coupled massless quantum scalar field. It is shown that the closed-time-path (CTP) effective action yields a non-local dissipation term as well as a stochastic noise term in the equation of motion, the Einstein-Langevin equation. Once the thermal Green's function in a Schwarzschild background becomes available to the required accuracy the strategy described here can be applied to obtain concrete results on backreaction. We also present an alternative derivation of the CTP effective action in terms of the Bogolyubov coefficients, thus making a connection with the interpretation of the noise term as measuring the difference in particle production in alternative histories.
Hu Liang-Bin
Raval Alpan
Sinha Sukanya
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