Effective Gravitational Field of Black Holes

Abstract

The problem of interpretation of the \hbar^0-order part of radiative corrections to the effective gravitational field is considered. It is shown that variations of the Feynman parameter in gauge conditions fixing the general covariance are equivalent to spacetime diffeomorphisms. This result is proved for arbitrary gauge conditions at the one-loop order. It implies that the gravitational radiative corrections of the order \hbar^0 to the spacetime metric can be physically interpreted in a purely classical manner. As an example, the effective gravitational field of a black hole is calculated in the first post-Newtonian approximation, and the secular precession of a test particle orbit in this field is determined.

8 pages, LaTeX, 1 eps figure. Proof of the theorem and typos corrected

References in corpus (1)

• Correspondence principle in quantum gravity

Cited by in corpus (5)

• Renormalization Group and Decoupling in Curved Space: III. The Case of Spontaneous Symmetry Breaking
• Electromagnetic Structure of Few-Nucleon Ground States
• Quantum Fluctuations of a Coulomb potential
• Gauge dependence of effective gravitational field.II. Point-like measuring device
• Classical Scale of Quantum Gravity