论文标题

非本地重力的黑洞

Black holes in non-local gravity

论文作者

Buoninfante, Luca, Giacchini, Breno L., Netto, Tibério de Paula

论文摘要

在本章中,我们介绍了非本地重力理论中黑洞样溶液的状态报告,其中拉格朗日人在曲率上至少是二次的,并包含特定的非多项式(即非局部)操作员。在整个时空中没有确切的黑洞解决方案的情况下,有关该主题的大多数文献都集中在近似和简化的运动方程上,这可以提供有关完整非线性溶液的见解。因此,本章的最大部分致力于线性近似。我们介绍了固定度量溶液(包括静态和旋转情况)以及动态空间的结果,描述了无旋转迷你黑孔的形成,这是通过空壳的塌陷形成的。在两种情况下,非本地效应都可以使曲率奇点正规化,并且在动态情况下,存在一个质量间隙,在该质量上可以避免形成明显的地平线。在最后一部分中,我们讨论了在非本地重力中寻找非线性黑洞溶液的有趣尝试。在本章中,我们没有关注特定的非本地模型,而是对大类理论有效(在可行的程度上)有效。这种更通用的方法可以比较各种非本地重力模型的相似性和差异。

In this chapter we present a status report of black hole-like solutions in non-local theories of gravity in which the Lagrangians are at least quadratic in curvature and contain specific non-polynomial (i.e., non-local) operators. In the absence of exact black hole solutions valid in the whole spacetime, most of the literature on this topic focus on approximate and simplified equations of motion, which could provide insights on the full non-linear solutions. Therefore, the largest part of this chapter is devoted to the linear approximation. We present results on stationary metric solutions (including both static and rotating cases) and dynamical spacetimes describing the formation of non-rotating mini black holes by the collapse of null shells. Non-local effects can regularize the curvature singularities in both scenarios and, in the dynamical case, there exists a mass gap below which the formation of an apparent horizon can be avoided. In the final part we discuss interesting attempts towards finding non-linear black hole solutions in non-local gravity. Throughout this chapter, instead of focusing on a particular non-local model, we present results valid for large classes of theories (to a feasible extent). This more general approach allows the comparison of similarities and differences of the various types of non-local gravity models.

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