2025/10/13 by Du, Yongbin, Sun, Jia-Rui, Zhang, Xiangdong · 3 citations
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)
paper · doi:10.48550/arxiv.2510.11921
We study information paradox of four dimensional covariant black holes inspired by loop quantum gravity (LQG) with two well motivated solutions. We first prepare the spacetime in the Hartle-Hawking state, compute the radiation entropy and recover a linear growth at late time. When considering the mass loss and incorporating greybody factors, we show that for Solution~1 the LQG parameter ζ leaves temperature and Planckian factor of the spectrum unchanged but enhances the near-horizon barrier, leading to a faster evaporation rate as M decreases. This behavior contrasts sharply with Solution~2, which has slow evaporation rate at small M and admits a non-singular continuation suggestive of a remnant or a black-to-white-hole transition. We then apply the island prescription on the eternal background and find that quantum extremal surfaces exist in solution 1 geometries; ζ primarily shifts the island boundary and suppresses the late time entropy growth, preserving unitarity. Our results highlight that covariance-respecting LQG black hole do not exhibit a universal late time behavior.