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<p>In this work, we study the physical characteristics of black holes within the Metric–Affine Gravity framework, where both torsion and nonmetricity are independent parts of spacetime geometry. Starting from the field equations, a spherically symmetric solution is obtained that includes contributions from spin, dilation, and shear parameters. The thermal properties of the black hole are studied using the tunnelling approach for Dirac particles, which allows the calculation of the Hawking temperature and shows how torsion and nonmetricity influence it. Quantum effects are then added through the Generalized Uncertainty Principle and an exponential correction to the entropy to examine whether small black holes can remain stable and form remnants after evaporation. The weak deflection of light is also analyzed with the Gauss–Bonnet method to see how geometric charges change the bending of photons compared with the Schwarzschild case. The results indicate that the combined influence of torsion, nonmetricity, and quantum effects causes small but clear differences from classical General Relativity and provides a direct geometric way to study such deviations.</p>

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Metric-affine black holes under quantum gravity corrections: tunnelling Dirac particles and gravitational lensing analysis

  • 期刊论文

  • 发表日期：

    2026年5月3日

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  • Erdem Sucu

摘要

In this work, we study the physical characteristics of black holes within the Metric–Affine Gravity framework, where both torsion and nonmetricity are independent parts of spacetime geometry. Starting from the field equations, a spherically symmetric solution is obtained that includes contributions from spin, dilation, and shear parameters. The thermal properties of the black hole are studied using the tunnelling approach for Dirac particles, which allows the calculation of the Hawking temperature and shows how torsion and nonmetricity influence it. Quantum effects are then added through the Generalized Uncertainty Principle and an exponential correction to the entropy to examine whether small black holes can remain stable and form remnants after evaporation. The weak deflection of light is also analyzed with the Gauss–Bonnet method to see how geometric charges change the bending of photons compared with the Schwarzschild case. The results indicate that the combined influence of torsion, nonmetricity, and quantum effects causes small but clear differences from classical General Relativity and provides a direct geometric way to study such deviations.