https://doi.org/10.1140/epjc/s10052-025-13833-7
Regular Article - Theoretical Physics
Dynamical features and shadows of quantum Schwarzschild black hole in effective field theories of gravity
1
Department of Physics, School of Science, Jiangsu University of Science and Technology, 212003, Zhenjiang, China
2
Quantum Theory Center (ħQTC) & D-IAS, Southern Denmark University, Campusvej 55, 5230, Odense M, Denmark
3
Department of Physics “Ettore Pancini”, University of Naples “Federico II”, Via Cintia Edificio 6, 80126, Naples, Italy
4
Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, University of Naples “Federico II”, Via Cintia Edificio 6, 80126, Naples, Italy
a ebattista@na.infn.it, emmanuelebattista@gmail.com
Received:
5
August
2024
Accepted:
19
January
2025
Published online:
15
March
2025
We investigate the properties of the Schwarzschild black hole geometry involving leading one-loop long-distance quantum effects, which arise within the framework of effective field theories of gravity. Our analysis reveals that geodesic trajectories of both massive and massless particles can assume completely different behaviours depending on the sign assumed by the quantum contributions, in spite of their smallness. Moreover, we find that the positions of stable and unstable circular orbits are determined by an algebraic quartic equation, which we solve by developing a straightforward and analytic method. Additionally, we examine black hole shadows and rings by means of two different emission profile models, which account for quantum corrections to the innermost stable circular orbit and photon sphere radii. The Hawking temperature and the entropy of the black hole are also derived. Finally, we draw our conclusions.
© The Author(s) 2025
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3.