Phenomenology of Schwarzschild-like Black Holes with a Generalized Compton Wavelength
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arXiv
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2025
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| author | Pantig, Reggie C. Ovgun, Ali Lambiase, Gaetano |
| author_facet | Pantig, Reggie C. Ovgun, Ali Lambiase, Gaetano |
| contents | We investigate the influence of the generalized Compton wavelength (GCW), emerging from a three-dimensional dynamical quantum vacuum (3D DQV) on Schwarzschild-like black hole spacetimes, motivated by the work of Fiscaletti [10.1134/S0040577925020096] \cite{Fiscaletti:2025iuh}. The GCW modifies the classical geometry through a deformation parameter $ \varepsilon $, encoding quantum gravitational backreaction. We derive exact analytical expressions for the black hole shadow radius, photon sphere, and weak deflection angle, incorporating higher-order corrections and finite-distance effects of a black hole with generalized Compton effect (BHGCE). Using Event Horizon Telescope (EHT) data, constraints on $ \varepsilon $ are obtained: $ \varepsilon \in [-2.572, 0.336] $ for Sgr. A* and $ \varepsilon \in [-2.070, 0.620] $ for M87*, both consistent with general relativity yet allowing moderate deviations. Weak lensing analyses via the Keeton-Petters and Gauss-Bonnet formalisms further constrain $ \varepsilon \approx 0.061 $, aligning with solar system bounds. We compute the modified Hawking temperature, showing that positive $ \varepsilon $ suppresses black hole evaporation. Quasinormal mode frequencies in the eikonal limit are also derived, demonstrating that both the oscillation frequency and damping rate shift under GCW-induced corrections. Additionally, the gravitational redshift and scalar perturbation waveform exhibit deformations sensitive to $ \varepsilon $. Our results highlight the GCW framework as a phenomenologically viable semiclassical model, offering testable predictions for upcoming gravitational wave and VLBI observations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_18226 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Phenomenology of Schwarzschild-like Black Holes with a Generalized Compton Wavelength Pantig, Reggie C. Ovgun, Ali Lambiase, Gaetano General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena We investigate the influence of the generalized Compton wavelength (GCW), emerging from a three-dimensional dynamical quantum vacuum (3D DQV) on Schwarzschild-like black hole spacetimes, motivated by the work of Fiscaletti [10.1134/S0040577925020096] \cite{Fiscaletti:2025iuh}. The GCW modifies the classical geometry through a deformation parameter $ \varepsilon $, encoding quantum gravitational backreaction. We derive exact analytical expressions for the black hole shadow radius, photon sphere, and weak deflection angle, incorporating higher-order corrections and finite-distance effects of a black hole with generalized Compton effect (BHGCE). Using Event Horizon Telescope (EHT) data, constraints on $ \varepsilon $ are obtained: $ \varepsilon \in [-2.572, 0.336] $ for Sgr. A* and $ \varepsilon \in [-2.070, 0.620] $ for M87*, both consistent with general relativity yet allowing moderate deviations. Weak lensing analyses via the Keeton-Petters and Gauss-Bonnet formalisms further constrain $ \varepsilon \approx 0.061 $, aligning with solar system bounds. We compute the modified Hawking temperature, showing that positive $ \varepsilon $ suppresses black hole evaporation. Quasinormal mode frequencies in the eikonal limit are also derived, demonstrating that both the oscillation frequency and damping rate shift under GCW-induced corrections. Additionally, the gravitational redshift and scalar perturbation waveform exhibit deformations sensitive to $ \varepsilon $. Our results highlight the GCW framework as a phenomenologically viable semiclassical model, offering testable predictions for upcoming gravitational wave and VLBI observations. |
| title | Phenomenology of Schwarzschild-like Black Holes with a Generalized Compton Wavelength |
| topic | General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena |
| url | https://arxiv.org/abs/2504.18226 |