Equivalence Principle and Field Quantization in Curved Spacetime

H. Kleinert

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arXiv · 0910.4034

Equivalence Principle and Field Quantization in Curved Spacetime

H. Kleinert

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Abstract

To comply with the equivalence principle, fields in curved spacetime can be quantized only in the neighborhood of each point, where one can construct a freely falling M i n k o w s k i frame with z e r o curvature. In each such frame, the geometric forces of gravity can be replaced by a selfinteracting spin-2 field, as proposed by Feynman in 1962. At a n y fixed distance $R$ from a black hole, the vacuum in each freely falling volume element acts like a thermal bath of all particles with Unruh temperature T_U=\hbar GM/2πc R^2. At the horizon R=2GM/c^2, the falling vacua show the Hawking temperature T_H=\hbar c^3/8πGMk_B.

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H. Kleinert. 2009-11-02. Equivalence Principle and Field Quantization in Curved Spacetime. https://arxiv.org/abs/0910.4034

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