论文标题
高斯 - 骨网校正在DGP Brane重力崩溃中的作用
Role of Gauss-Bonnet corrections in a DGP brane gravitational collapse
论文作者
论文摘要
考虑到Dvali-Gabadadze-Porrati(DGP)Brane的Oppenheimer-Snyder(OS)型崩溃,而Gauss-Bonnet(GB)项则为大体提供。我们研究了DGP诱导的重力以及GB曲率的综合作用,该效果是对一般相对论OS动力学的任何修饰。我们的论文具有双重目标。一方面,我们研究了在倒塌状态下可能出现的奇异性的性质。结果表明,根据施加的条件,所有的收缩棕褐色的动态场景都将在以下情况下结束:要么是中央壳的奇异性,要么是我们将其指定为“突然崩溃的奇异性”。另一方面,我们还研究了外部时空与标准Schwarzschild几何形状的偏差,该几何形状出现在我们的修改OS场景中。我们的目的是调查黑洞是否总是涉及这种棕褐色世界模型。我们发现赤裸裸地出现的情况。
An Oppenheimer-Snyder (OS)-type collapse is considered for a Dvali-Gabadadze-Porrati (DGP) brane, whereas a Gauss-Bonnet (GB) term is provided for the bulk. We study the combined effect of the DGP induced gravity plus the GB curvature, regarding any modification of the general relativistic OS dynamics. Our paper has a twofold objective. On the one hand, we investigate the nature of singularities that may arise at the collapse end state. It is shown that all dynamical scenarios for the contracting brane would end in one of the following cases, depending on conditions imposed: either a central shell-focusing singularity or what we designate as a "sudden collapse singularity." On the other hand, we also study the deviations of the exterior spacetime from the standard Schwarzschild geometry, which emerges in our modified OS scenario. Our purpose is to investigate whether a black hole always forms regarding this brane world model. We find situations where a naked singularity emerges instead.