标题： 渐近平坦的对称引力中的黑洞解 显示英文标题

标题： Asymptotically-Flat Black Hole Solutions in Symmergent Gravity

摘要： 对称引力是一种具有$R+R^2$曲率部分和扩展粒子部分的涌现引力模型，该模型包含超出已知粒子的新粒子。 在标量曲率恒定的情况下，渐近平坦的黑洞解已知对二次曲率项（$R^2$的系数）不敏感。 然而，在标量曲率变化的情况下，渐近平坦的对称引力黑洞解却明显依赖于二次曲率项。 在本研究中，我们构建了具有可变标量曲率的渐近平坦对称引力黑洞，并利用其蒸发、阴影和偏折角来限制对称引力参数。 关于其蒸发，我们发现对称引力预测的新粒子，即使它们不与已知粒子相互作用，也能增强黑洞蒸发速率。 关于其阴影，我们表明对于事件视界望远镜（EHT）对人马座 A* 超大质量黑洞的观测数据，在$2\,\sigma$水平上可以达到统计显著的对称引力效应。 关于其弱偏折角，我们揭示了玻色子-费米子数差异的可辨特征，尤其是在大碰撞参数处。 这些发现有潜力作为未来对黑洞性质进行观测和研究的理论预测。 显示英文摘要

摘要： Symmergent gravity is an emergent gravity model with an $R+R^2$ curvature sector and an extended particle sector having new particles beyond the known ones. With constant scalar curvature, asymptotically flat black hole solutions are known to have no sensitivity to the quadratic curvature term (coefficient of $R^2$). With variable scalar curvature, however, asymptotically-flat symmergent black hole solutions turn out to explicitly depend on the quadratic curvature term. In the present work, we construct asymptotically-flat symmergent black holes with variable scalar curvature and use its evaporation, shadow, and deflection angle to constrain the symmergent gravity parameters. Concerning their evaporation, we find that the new particles predicted by symmergent gravity, even if they do not interact with the known particles, can enhance the black hole evaporation rate. Concerning their shadow, we show that statistically significant symmergent effects are reached at the $2\,\sigma$ level for the observational data of the Event Horizon Telescope (EHT) on the Sagittarius A* supermassive black hole. Concerning their weak deflection angle, we reveal discernible features for the boson-fermion number differences, particularly at large impact parameters. These findings hold the potential to serve as theoretical predictions for future observations and investigations on black hole properties.