论文标题
新型Einstein-Gauss-Bonnet-De保姆重力中的测试场的准模式
Quasinormal modes of the test fields in the novel 4D Einstein-Gauss-Bonnet-de Sitter gravity
论文作者
论文摘要
在[D. S.〜Mukohyama，Arxiv：2005.03859]。最近，研究了该理论的骨气和费米原田的准模式。在这里，我们计算了测试标量，电磁标量的准频率，用于球形对称黑洞的新型$ 4D $ EINSTEIN-GAUSS-GAUSS-BONNET-DE SINTER理论。通过使用PADé近似值的第六阶WKB方法计算出的准模式的值和时间域的整合，表明实际振荡频率和阻尼速率都通过增加宇宙常数抑制。虽然标量和电磁场的稳定性直接源于有效电位的积极确定性，但狄拉克场没有如此积极的确定性。在这里，借助时域集成，考虑到所有模式，我们在$ 4D $ EINSTEIN-GAUSS-BONNET-DE SINTER理论中证明了Dirac Field的稳定性。
The regularization proposed in [D.~Glavan and C.~Lin, Phys.\ Rev.\ Lett.\ {\bf 124}, 081301 (2020)] led to the black hole solutions which turned out to be the solutions of the consistent well-defined $4$-dimensional Einstein-Gauss-Bonnet theory of gravity suggested in [K.~Aoki, M.~Gorji and S.~Mukohyama, arXiv:2005.03859]. Recently the quasinormal modes of bosonic and fermionic fields for this theory were studied. Here we calculate quasinormal frequencies of the test scalar, electromagnetic and Dirac fields for the spherically symmetric black hole in the novel $4D$ Einstein-Gauss-Bonnet-de Sitter theory. The values of the quasinormal modes, calculated by the sixth order WKB method with Padé approximants and the time-domain integration, show that both real oscillation frequency and the damping rate are suppressed by increasing of the cosmological constant. While the stability of the scalar and electromagnetic fields follows directly from the positive definiteness of the effective potential, there is no such positive definiteness for the Dirac field. Here, with the help of the time domain integration, taking into account all the modes, we prove stability of the Dirac field in $4D$ Einstein-Gauss-Bonnet-de Sitter theory.
