Black Hole Solutions in Dark Photon Models with Higher Order Corrections
arXiv:2505.01649 · doi:10.1016/j.physletb.2026.140437
Abstract
In this work, we derive new analytic, static, symmetric black hole solutions in theories involving dark photons with minimal and higher-order magnetic dipole interactions. Starting from the effective non-relativistic potential between fermions mediated by a dark photon, we derive explicit corrections to the Schwarzschild geometry induced by dark photon and spin-dependent terms. These corrections alter the metric significantly at short distances, modifying the horizon radius, Hawking temperature, photon sphere, and consequently, the black hole shadow. Employing perturbative expansions, we provide analytic expressions for the deviations from the Schwarzschild solution, highlighting an exponential suppression controlled by the dark photon mass. Our results demonstrate that higher-order magnetic dipole interactions produce distinctive spin-dependent curvature terms, amplifying gravitational effects near the horizon. These findings provide a theoretical foundation for future phenomenological tests of dark photon models through gravitational wave astronomy and black hole imaging, while highlighting dark photons' role as mediators of dark matter interactions that can influence structure formation and direct detection experiments.
arXiv comment7 pages, 3 figures. Reference list expanded
References in corpus (25)
- A Theory of Dark Matter
- Secluded WIMP Dark Matter
- Dark Matter Self-interactions and Small Scale Structure
- The geometry of photon surfaces
- U-boson production in e+e- annihilations, psi and Upsilon decays, and Light Dark Matter
- Dark Matter Self-Interactions and Light Force Carriers
- Black holes as particle detectors: evolution of superradiant instabilities
- Spin-Dependent Macroscopic Forces from New Particle Exchange
- Constraining the mass of dark photons and axion-like particles through black-hole superradiance
- Black holes in galaxies: environmental impact on gravitational-wave generation and propagation
- Heavy Dark Matter Through the Higgs Portal
- Completely Dark Photons from Gravitational Particle Production During Inflation
- Quantum Corrected Black Holes from String T-Duality
- Black holes surrounded by generic dark matter profiles: appearance and gravitational-wave emission
- Dark photon superradiance: Electrodynamics and multimessenger signals
- Black holes surrounded by generic matter distributions: polar perturbations and energy flux
- Dark photon vortex formation and dynamics
- Thermodynamics of Einstein-Proca AdS Black Holes
- Worldline effective field theory of inspiralling black hole binaries in presence of dark photon and axionic dark matter
- Dynamics of charged particles and magnetic dipoles around magnetized quasi-Schwarzschild black holes
- Observational constraints on Yukawa cosmology and connection with black hole shadows
- Black hole in the Dekel-Zhao dark matter profile
- Dark matter signatures of black holes with Yukawa potential
- Charged Black Holes with Yukawa Potential
- In Situ Measurements of Dark Photon Dark Matter Using Parker Solar Probe: Going beyond the Radio Window