论文标题
爱因斯坦 - 加斯 - 尼特重力笼罩的黑洞
Shrouded black holes in Einstein-Gauss-Bonnet gravity
论文作者
论文摘要
我们在修饰的重力场景中研究黑洞，涉及标量次数四耦合到高斯 - 骨网不变的情况下。由于裸露的希格斯型电势，假定标量在空间无穷大的自发损坏相。为了正确选择符号，非最小耦合与重力耦合会导致黑洞地平线附近的对称恢复，从而促使其附近标量壁的发展。壁厚取决于标量的裸露质量，并且可能比Schwarzschild半径小得多。在弱耦合方案中，与高斯 - 骨网的二次耦合有效地变成线性，并且没有形成壁。我们在测试场状态中找到标量场的近似分析解决方案，并在此设置中获得数值静态的黑洞解决方案。我们讨论了该模型的宇宙学含义，并表明它与通货膨胀阶段的存在完全一致，这与自发标量的场景不同，假设非微耦合与重力的相反迹象。我们的模型预测，重力波的速度将非常接近统一，这与观察GW170817事件及其电磁对应物的舒适性一致。
We study black holes in a modified gravity scenario involving a scalar field quadratically coupled to the Gauss-Bonnet invariant. The scalar is assumed to be in a spontaneously broken phase at spatial infinity due to a bare Higgs-like potential. For a proper choice of sign, the non-minimal coupling to gravity leads to symmetry restoration near the black hole horizon, prompting the development of the scalar wall in its vicinity. The wall thickness depends on the bare mass of the scalar and can be much smaller than the Schwarzschild radius. In a weakly coupled regime, the quadratic coupling to the Gauss-Bonnet invariant effectively becomes linear, and no walls are formed. We find approximate analytical solutions for the scalar field in the test field regime, and obtain numerically static black hole solutions within this setup. We discuss cosmological implications of the model and show that it is fully consistent with the existence of an inflationary stage, unlike the spontaneous scalarization scenario assuming the opposite sign of the non-minimal coupling to gravity. Our model predicts the speed of gravitational waves to be extremely close to unity, - in a comfortable agreement with the observation of the GW170817 event and its electromagnetic counterpart.
