Testing the limits of scalar-Gauss-Bonnet gravity through nonlinear evolutions of spin-induced scalarization
Testing the limits of scalar-Gauss-Bonnet gravity through nonlinear evolutions of spin-induced scalarization
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通过自旋引起的标量化的非线性演化测试标量-高斯-邦尼重力的极限
DOI：
10.1103/physrevd.108.084017
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发表时间：
2023
影响因子：
5
通讯作者：
Doneva D
中科院分区：
文献类型：
--
作者：
Doneva D
具有二阶运动方程的二次引力理论提供了一个有趣的模型，用于检验在强引力区与广义相对论的偏差。然而，它们可能遭受双曲性的损失，即使对于处于弱耦合状态并且没有任何明显病理的初始数据。这种效应已经在各种情况下进行了研究，包括孤立的黑洞和双星。在这里，我们探讨了双曲性的损失在自旋诱导标量化的孤立克尔黑洞的标量-高斯-Bonnet引力理论，采用修改后的CCZ 4制定，最近已经开发。我们发现，在以前的研究中，双曲性丢失时，标量场及其梯度变得很大，并确定在我们的演化与纯引力部门的物理模式的故障。我们改变规范参数，发现结果与它们的值无关。这，沿着我们使用不同的规范制定以前的作品，支持的前提下，双曲性的损失是由物理模式为主。由于标量-高斯-博内理论可以被看作是有效场论（EFT），我们还研究了演化过程中的耦合强度。我们发现，在双曲性丢失的时刻，系统已经处于EFT不再有效的状态。这加强了这样一种观点，即理论只应在其有效性制度范围内适用，而不应被视为完全的理论。
Quadratic theories of gravity with second order equations of motion provide an interesting model for testing deviations from general relativity in the strong gravity regime. However, they can suffer from a loss of hyperbolicity, even for initial data that is in the weak coupling regime and free from any obvious pathology. This effect has been studied in a variety of cases including isolated black holes and binaries. Here we explore the loss of hyperbolicity in spin-induced scalarization of isolated Kerr black holes in a scalar-Gauss-Bonnet theory of gravity, employing the modified CCZ4 formulation that has recently been developed. We find that, as in previous studies, hyperbolicity is lost when the scalar field and its gradients become large, and identify the breakdown in our evolutions with the physical modes of the purely gravitational sector. We vary the gauge parameters and find the results to be independent of their value. This, along with our use of a different gauge formulation to previous works, supports the premise that the loss of hyperbolicity is dominated by the physical modes. Since scalar-Gauss-Bonnet theories can be viewed as effective field theories (EFTs), we also examine the strength of the coupling during the evolution. We find that at the moment when hyperbolicity is lost the system is already well within the regime where the EFT is no longer valid. This reinforces the idea that the theories should only be applied within their regime of validity, and not treated as complete theories in their own right.
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