Spherically symmetric black holes in gravity from entropy and spontaneous emission
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 . 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 , suggesting an inherent “entropic leakage” of the vacuum. At intermediate scales, the framework replicates the standard Hawking radiation mass-loss law as through a purely classical response of the modified background.