Hamilton-Jacobi Method and Gravitation

Details Hamilton-Jacobi Method and Gravitation Hamilton-Jacobi Method and Gravitation

2010-10-05

arxiv.org/abs/1010.0797v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

To appear in the proceedings of "Cosmology, the Quantum Vacuum, and Zeta Functions": A workshop with a celebration of Emilio E

Scientific paper

Studying the behaviour of a quantum field in a classical, curved, spacetime is an extraordinary task which nobody is able to take on at present time. Independently by the fact that such problem is not likely to be solved soon, still we possess the instruments to perform exact predictions in special, highly symmetric, conditions. Aim of the present contribution is to show how it is possible to extract quantitative information about a variety of physical phenomena in very general situations by virtue of the so-called Hamilton-Jacobi method. In particular, we shall prove the agreement of such semi-classical method with exact results of quantum field theoretic calculations.

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