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    Spherically symmetric black holes in gravity from entropy and spontaneous emission

    Udaykrishna Thattarampilly1, Yunlong Zheng1,*, and Vishnu Kakkat2,3

    • *Contact author: zhyunl@yzu.edu.cn

    Phys. Rev. D 113, 104002 – Published 1 May, 2026

    DOI: https://doi.org/10.1103/bjky-y71v

    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 −β/24, suggesting an inherent “entropic leakage” of the vacuum. At intermediate scales, the framework replicates the standard Hawking radiation mass-loss law as M˙∝M−2 through a purely classical response of the modified background.

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