论文标题

高斯河网触发性重力中黑洞的自发标量

Spontaneous Scalarization of Black Holes in Gauss-Bonnet Teleparallel Gravity

论文作者

Bahamonde, Sebastian, Doneva, Daniela D., Ducobu, Ludovic, Pfeifer, Christian, Yazadjiev, Stoytcho S.

论文摘要

在本文中,我们通过将标量场与高斯 - 骨网耦合在远程引力中发现了新的标量黑洞。该理论的电触电表述使用扭转而不是曲率来描述引力相互作用,事实证明,用这种语言,通常在四个维度上的高斯 - 邦网术语,以两个不同的边界术语衰减,即远程行驶的高斯 - bonnet不变。两者都可以单独耦合,也可以在任何组合中与标量场耦合,以获得远程相对论的远程触发性高斯式伸展。我们研究的理论包含熟悉的Riemannian Einstein-Gauss-Bonnet重力理论,是一个特定的极限,并提供了自然的扩展,其中标量是由扭转和新有趣的现象学触发的。我们从数值上证明了渐近标量的黑洞解决方案的存在,并表明,根据边界项的耦合选择,与通常的爱因斯坦 - 高斯 - 邦纳特案例所知的偶联相比,它们可以具有独特的行为。更具体地说,可以存在度量函数和标量场的非单调性,这一特征直到现在为静态标量的黑洞溶液尚未观察到。

In this paper, we find new scalarized black holes by coupling a scalar field with the Gauss-Bonnet invariant in Teleparallel gravity. The Teleparallel formulation of this theory uses torsion instead of curvature to describe the gravitational interaction and it turns out that, in this language, the usual Gauss-Bonnet term in four dimensions, decays in two distinct boundary terms, the Teleparallel Gauss-Bonnet invariants. Both can be coupled individually, or in any combination to a scalar field, to obtain a Teleparallel Gauss-Bonnet extension of the Teleparallel equivalent of general relativity. The theory we study contains the familiar Riemannian Einstein-Gauss-Bonnet gravity theory as a particular limit and offers a natural extension, in which scalarization is triggered by torsion and with new interesting phenomenology. We demonstrate numerically the existence of asymptotically flat scalarized black hole solutions and show that, depending on the choice of coupling of the boundary terms, they can have a distinct behaviour compared to the ones known from the usual Einstein-Gauss-Bonnet case. More specifically, non-monotonicity of the metric functions and the scalar field can be present, a feature that was not observed until now for static scalarized black hole solutions.

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