论文标题
维林德（Verlinde）紧急重力中的常规黑洞
Regular black holes in Verlinde's emergent gravity
论文作者
论文摘要
在本文中，我们在Verlinde的新兴重力（VEG）中构建了一类带电和常规的黑洞解决方案。特别是，这些解决方案包括具有渐近Minkowski核心的黑洞，T-二维，Frolov/Simpson-Visser型解决方案，以及Bardeen/Hayward型解决方案作为特殊情况。利用明显的暗物质与重型物质之间的关系，我们发现了明显的暗物质对时空几何形状的影响。我们表明，通常，明显的暗物质会导致非质量平坦的时空几何形状，并且在诸如质量分布之类的点的特殊极限中，VEG中的所有黑洞溶液都类似于具有赤字角度的全球单极样溶液。为此，我们通过包括宇宙常数（DE Sitter空间）来扩展溶液，并详细说明黑洞溶液的不同能量条件。最后，考虑到爱因斯坦的场方程在该理论中未经修改，而明显的暗物质是在能量弹药张量中编码的，我们使用了修改后的纽曼 - 贾尼斯 - 氮杂 - azreg-aïnou算法来获得相应的有效旋转量度。
In this paper, we construct a class of charged and regular black hole solutions in Verlinde's Emergent Gravity (VEG). In particular, these solutions include, black holes with asymptotically Minkowski core, T-duality, Frolov/Simpson-Visser type solutions, as well as the Bardeen/Hayward type solutions as a special case. Using the relation between the apparent dark matter and the baryonic matter we find the effect of apparent dark matter on the spacetime geometry. We show that in general, the apparent dark matter leads to non-asymptotically flat spacetime geometry and, in the special limit of a point like mass distribution, all the black hole solutions in VEG resembles the global monopole-like solution with a deficit angle. To this end, we extend the solutions by including the cosmological constant (de Sitter space) and we elaborate different energy conditions of black hole solutions. Finally, having in mind that the Einstein's field equation are not modified in this theory while the apparent dark matter is encoded in the energy-momentum tensor, we used the modified Newman--Janis-Azreg-Aïnou algorithm to obtain the corresponding effective rotating metrics.
