论文标题

一致的4D Einstein-Gauss-Bonnet-(抗)DE Sitter Gravity在一致的标量场的准态状态

Quasibound states of scalar fields in the consistent 4D Einstein-Gauss-Bonnet-(Anti-)de Sitter gravity

论文作者

Vieira, H. S., Bezerra, V. B., Muniz, C. R., Cunha, M. S.

论文摘要

我们检查了无质量标量场与黑洞溶液产生的重力场之间的相互作用,该溶液最近以宇宙常数为一致的一致定义明确定义的4维爱因斯坦 - 加斯 - 邦纳特重力。为了做到这一点,我们计算一致的4维爱因斯坦 - 加斯 - 鲍尼斯 - 邦纳特 - 戴斯特机和抗DE保姆理论中球形对称黑洞的标量黑洞的准状态频率。通过使用与HEUN函数相关的多项式条件获得了Quasibound状态的表达式,并且其值被过度抑制。我们还展示了系统的稳定性。

We examine the interaction between massless scalar fields and the gravitational field generated by a black hole solution that was recently obtained in the consistent well-defined 4-dimensional Einstein-Gauss-Bonnet gravity with a cosmological constant. In order to do this, we calculate quasibound state frequencies of scalar fields for the spherically symmetric black hole in the consistent 4-dimensional Einstein-Gauss-Bonnet-de Sitter and Anti-de Sitter theories. The expression for the quasibound states is obtained by using the polynomial condition associated to the Heun functions, and their values are overdamped. We also demonstrate the stability of the systems.

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