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Quantum Corrections to the Schwarzschild and Kerr Metrics

3 Pith papers cite this work. Polarity classification is still indexing.

3 Pith papers citing it
abstract

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 sqrt{-q^2}, ln-q^2, etc. in the form factors of the energy-momentum tensor and that these correspond to long range modifications of the metric tensor g_{\mu\nu} of the form G^2m^2/r^2, G^2m\hbar/r^3, 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.

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fields

hep-th 2 gr-qc 1

years

2026 2 2025 1

verdicts

UNVERDICTED 3

roles

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representative citing papers

Gravitational multipoles from scattering amplitudes in higher dimensions

hep-th · 2026-05-06 · unverdicted · novelty 6.0

In five dimensions, minimally coupled massive vector and antisymmetric tensor fields produce only mass or stress quadrupoles respectively from scattering amplitudes, failing to match the Myers-Perry black hole and demonstrating breakdown of spin universality.

Iterative Solution of the Kerr Black Hole Metric

hep-th · 2026-05-19 · unverdicted · novelty 4.0

A double perturbative expansion of the Kerr metric is obtained by recursively solving the Einstein equations in harmonic gauge to arbitrary order in G and a, with re-summation requiring redundant harmonic coordinate terms.

citing papers explorer

Showing 3 of 3 citing papers.

  • Gravitational multipoles from scattering amplitudes in higher dimensions hep-th · 2026-05-06 · unverdicted · none · ref 47

    In five dimensions, minimally coupled massive vector and antisymmetric tensor fields produce only mass or stress quadrupoles respectively from scattering amplitudes, failing to match the Myers-Perry black hole and demonstrating breakdown of spin universality.

  • Graviton propagator in de Sitter space in a simple one-parameter gauge gr-qc · 2025-11-17 · unverdicted · none · ref 53 · internal anchor

    Derives a relatively simple graviton propagator in de Sitter space for a one-parameter family of non-covariant gauges to enable gauge-dependence checks in loop computations.

  • Iterative Solution of the Kerr Black Hole Metric hep-th · 2026-05-19 · unverdicted · none · ref 42 · internal anchor

    A double perturbative expansion of the Kerr metric is obtained by recursively solving the Einstein equations in harmonic gauge to arbitrary order in G and a, with re-summation requiring redundant harmonic coordinate terms.