Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2002-09-03
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
168 pages, 14 figures, PhD thesis
Scientific paper
The expectation value of the energy-momentum tensor and the Hawking flux of a scalar field on a Schwarzschild spacetime is calculated using the zeta-function regularisation of the heat kernel. In particular, massless particles are considered in a spherically reduced dilaton model. The effective action is thereby obtained by the covariant perturbation theory and the boundary conditions are fixed by means of the energy-momentum conservation equation. In contrast to previous approaches the expectation values are calculated directly from the effective action which itself is derived in a straightforward manner.
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