标题： 度规-巴塔林引力中带有物质的几何普罗卡理论 显示英文标题

标题： Geometric Proca with Matter in Metric-Palatini Gravity

摘要： 在本工作中，我们研究了线性、无扭转的度规-Palatini引力，该理论通过Ricci张量反对称部分的二次项进行扩展，并且在物质领域中也通过仿射联络的存在进行扩展。我们证明，这种扩展的度规-Palatini引力在动力学上可简化为广义相对论加上一个几何质量矢量场，该场对应于联络的非度规性。我们还证明，这个几何Proca场与费米子普遍耦合。我们推导了这种爱因斯坦-几何Proca理论的静态、球对称场方程。我们通过考虑与几何Proca耦合的尘埃分布的存在，研究了黑洞解的可能性。我们的分析表明，这种尘埃的存在会恶化视界形成的可能性。我们简要讨论了这种普遍耦合的几何Proca在天体物理和对撞机过程中的可能作用。 显示英文摘要

摘要： In the present work, we study linear, torsion-free metric-Palatini gravity, extended by the quadratics of the antisymmetric part of the Ricci tensor and extended also by the presence of the affine connection in the matter sector. We show that this extended metric-Palatini gravity reduces dynamically to the general relativity plus a geometrical massive vector field corresponding to non-metricity of the connection. We also show that this geometric Proca field couples to fermions universally. We derive static, spherically symmetric field equations of this Einstein-geometric Proca theory. We study possibility of black hole solutions by taking into account the presence of a dust distribution that couples to the geometric Proca. Our analytical and numerical analyses show that the presence of this dust worsens the possibility of horizon formation. We briefly discuss possible roles of this universally-coupled geometric Proca in the astrophysical and collider processes.