论文标题
$ f(r)$重力中的黑洞和虫洞,带有动力学曲率标量
Black holes and wormholes in $f(R)$ gravity with a kinetic curvature scalar
论文作者
论文摘要
我们研究了爱因斯坦框架中球形对称静态长时间的特殊类型的手性自我磨损模型(CSGM)。这种CSGM是根据Weyl共形转换得出的,从Jordan框架中的重力模型对应于具有动力学标态曲率的修改后的$ f(r)$重力。我们使用谐波坐标研究了模型,并考虑了约旦框架的缩放转换的特殊情况。我们发现与零电位相对应的溶液类别,并研究了所获得的溶液的视野,中心和渐近行为。其他类别的解决方案(对于不等于零)的其他类别是使用公制组件之间的特殊关系(ANSATZ)发现的。也对此新情况的溶液的视野,中心和渐近行为进行了研究。与文献中早期获得的解决方案进行了比较分析。
We study the chiral self-gravitating model (CSGM) of a special type in the spherically symmetric static spacetime in Einstein frame. Such CSGM is derived, by virtue of Weyl conformal transformation, from a gravity model in the Jordan frame corresponding to a modified $f(R)$ gravity with a kinetic scalar curvature. We investigate the model using harmonic coordinates and consider a special case of the scaling transformation from the Jordan frame. We find classes of solutions corresponding to a zero potential and we investigate horizons, centers and the asymptotic behavior of the obtained solutions. Other classes of solutions (for the potential not equal to zero) are found using a special relation (ansatz) between the metric components. Investigations of horizons, centers and asymptotic behavior of obtained solutions for this new case are performed as well. Comparative analysis with the solutions obtained earlier in literature is made.