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arXiv · 2602.13694

Spherically symmetric black holes in Gravity from Entropy and spontaneous emission

Udaykrishna Thattarampilly·Yunlong Zheng·Vishnu Kakkat
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Abstract

We investigate static and dynamical spherically symmetric black hole solutions within the Gravity from Entropy (GfE) framework. We derive and solve the modified vacuum field equations for a static, spherically symmetric spacetime, revealing that the classical Schwarzschild geometry receives perturbative corrections scaling as $r^{-4}$. We establish that the GfE framework is consistent with current strong-field astrophysical observations. Higher-order geometric stresses inherent to the GfE vacuum drive a consistent mass-evolution profile. In the limit of large black hole mass, the theory predicts a constant background evaporation rate $ -\beta/24$, suggesting an inherent "entropic leakage" of the vacuum. At intermediate scales, the framework replicates the standard Hawking radiation mass-loss law as $\dot{M} \propto M^{-2}$ through a purely classical response of the modified background.

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Udaykrishna Thattarampilly, Yunlong Zheng, Vishnu Kakkat. 2026-02-14. Spherically symmetric black holes in Gravity from Entropy and spontaneous emission. https://doi.org/10.1103/bjky-y71v

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