论文标题
爱因斯坦 - 韦尔重力的相图
The phase diagram of Einstein-Weyl gravity
论文作者
论文摘要
由于他们解释了对高能的一阶校正一阶校正，重力理论近期引起了很多关注。特别关注爱因斯坦 - 韦尔理论，在该理论中，将平方的Weyl张量添加为在该理论的经典谱中具有非Schwarzschild黑洞的可能性。该理论的静态和球面对称解已经根据其小尺度行为进行了研究和分类。但是，仍然缺乏根据渐近引力场对这些解决方案的分类。在本文中，我们解决了这一点，并介绍了该理论的相图，其中不同类型的溶液以其质量及其强度为Yukawa样校正对重力场的强度。特别是，我们将表明，在紧凑的恒星的情况下，状态的不同方程式暗示了Yukawa校正重力潜力，可能具有现象学的意义。
Thanks to their interpretation as first order correction of General Relativity at high energies, quadratic theories of gravity gained much attention in recent times. Particular attention has been drawn to the Einstein-Weyl theory, where the addition of the squared Weyl tensor to the action opens the possibility of having non-Schwarzschild black holes in the classical spectrum of the theory. Static and spherically symmetric solutions of this theory have been studied and classified in terms of their small scales behaviour; however, a classification of these solutions in terms of the asymptotic gravitational field is still lacking. In this paper we address this point and present a phase diagram of the theory, where the different types of solutions are shown in terms of their mass and the strength of a Yukawa-like correction to the gravitational field. In particular we will show that, in the case of compact stars, different equations of state imply different Yukawa corrections to the gravitational potential, with possible phenomenological implications.
