Quantum Corrections to the Schwarzschild and Kerr Metrics
نویسندگان
چکیده
We examine the corrections to the lowest order gravitational interactions of massive particles arising from gravitational radiative corrections. We show how the masslessness of the graviton and the gravitational self interactions imply the presence of nonanalytic pieces ∼ √ −q2,∼ q ln−q2, etc. in the form factors of the energy-momentum tensor and that these correspond to long range modifications of the metric tensor gμν of the form G m/r, Gmh̄/r, etc. The former coincide with well known solutions from classical general relativity, while the latter represent new quantum mechanical effects, whose strength and form is necessitated by the low energy quantum nature of the general relativity. We use these results to define a running gravitational charge.
منابع مشابه
60 70 54 v 1 1 3 Ju l 2 00 6 Quantum Corrections to the Schwarzschild and Kerr Metrics : Spin 1 Barry R . Holstein
A previous evaluation of one-graviton loop corrections to the energy-momentum tensor has been extended to particles with unit spin and speculations are presented concerning general properties of such forms.
متن کاملQuantum Corrections to the Reissner-Nordström and Kerr-Newman Metrics
We use effective field theory techniques to examine the quantum corrections to the gravitational metrics of charged particles, with and without spin. In momentum space the masslessness of the photon implies the presence of nonanalytic pieces ∼ √ −q2, q2 log−q2, etc. in the form factors of the energy-momentum tensor. We show how the former reproduces the classical non-linear terms of the Reissne...
متن کاملElectromagnetic fields in Schwarzschild and Reissner-Nordström geometry. Quantum corrections to the black hole entropy
In the last decade, many efforts have been made in order to understand the deep origin of the black hole entropy [1–4] first introduced by Bekenstein [5–7] (for a recent review see Ref. [8]), but widely embraced only after the Hawinkg’s demonstration of black hole thermal radiation [9–11]. Some possible interpretations and methods of calculation have been proposed, but, at the moment, no one of...
متن کاملConservative corrections to the innermost stable circular orbit (ISCO) of a Kerr black hole: A new gauge-invariant post-Newtonian ISCO condition, and the ISCO shift due to test-particle spin and the gravitational self-force
The innermost stable circular orbit (ISCO) delimits the transition from circular orbits to those that plunge into a black hole. In the test-mass limit, well-defined ISCO conditions exist for the Kerr and Schwarzschild spacetimes. In the finite-mass case, there are a large variety of ways to define an ISCO in a post-Newtonian (PN) context. Here I generalize the gauge-invariant ISCO condition of ...
متن کاملGravitational shock waves for Schwarzschild and Kerr black holes.
The metrics of gravitational shock waves for a Schwarzschild black hole in ordinary coordinates and for a Kerr black hole in BoyerLindquist coordinates are derived. The Kerr metric is discussed for two cases: the case of a Kerr black hole moving parallel to the rotational axis, and moving perpendicular to the rotational axis. Then, two properties from the derived metrics are investigated: the s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008