Equivalence Principle and Field Quantization in Curved Spacetime

Details Equivalence Principle and Field Quantization in Curved Spacetime Equivalence Principle and Field Quantization in Curved Spacetime

2009-10-21

arxiv.org/abs/0910.4034v3

EJTP 6, 1 (2009)

Physics

Quantum Physics

2 pages, extended and corrected

Scientific paper

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/2\pi c R^2. At the horizon R=2GM/c^2, the falling vacua show the Hawking temperature T_H=\hbar c^3/8\pi GMk_B.

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