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Analytic solutions for the gravitational spin Hall equations and black hole shadows
Abstract
In general relativity, the geometric optics approximation describes the propagation of high-frequency electromagnetic waves along null geodesics. Beyond this approximation, localized wave packets acquire frequency- and polarization-dependent corrections to null geodesic motion, described by the gravitational spin Hall equations. In this paper, these equations are integrated analytically, to first order in wavelength, in a large class of type D black hole spacetimes, whenever the corresponding null geodesics admit analytic solutions. The same framework yields analytic expressions for the shape of black hole shadows with polarization-dependent corrections.
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BibTeX
@misc{oancea2026analytic,
title = {{Analytic solutions for the gravitational spin Hall equations and black hole shadows}},
author = {Marius A. Oancea},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.08428},
eprint = {2610.08428},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.08428},
}
RIS
TY - UNPB
TI - Analytic solutions for the gravitational spin Hall equations and black hole shadows
AU - Marius A. Oancea
PY - 2026
DA - 2026/10/06
PB - arXiv
DO - 10.48550/arxiv.2610.08428
UR - https://arxiv.org/abs/2610.08428
AB - In general relativity, the geometric optics approximation describes the propagation of high-frequency electromagnetic waves along null geodesics. Beyond this approximation, localized wave packets acquire frequency- and polarization-dependent corrections to null geodesic motion, described by the gravitational spin Hall equations. In this paper, these equations are integrated analytically, to first order in wavelength, in a large class of type D black hole spacetimes, whenever the corresponding null geodesics admit analytic solutions. The same framework yields analytic expressions for the shape of black hole shadows with polarization-dependent corrections.
ER -