Exact black hole solutions in shift-symmetric quadratic degenerate higher-order scalar-tensor theories
Exact black hole solutions in shift-symmetric quadratic degenerate higher-order scalar-tensor theories
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DOI：
10.1103/physrevd.99.064040
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发表时间：
2019-01
影响因子：
5
通讯作者：
H. Motohashi;Masato Minamitsuji
中科院分区：
文献类型：
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作者：
H. Motohashi;Masato Minamitsuji
我们在具有线性时变标量场的二次简并高阶标量张量（DHOST）理论的位移对称子类中找到了各种精确的黑洞解。精确解是Schwarzschild和Schwarzschild-（反）de Sitter解，以及具有亏损立体角的Schwarzschild型解，它们伴随着黑洞视界处的非平凡标量场正则。我们推导出的耦合函数在DHOST拉格朗日的条件，允许精确的解决方案，澄清他们的兼容性与退化条件，并提供一般形式的耦合函数以及简单的模型，满足条件。
We find various exact black hole solutions in the shift-symmetric subclass of the quadratic degenerate higher-order scalar-tensor (DHOST) theories with linearly time dependent scalar field whose kinetic term is constant. The exact solutions are the Schwarzschild and Schwarzschild-(anti-)de Sitter solutions, and the Schwarzschild-type solution with a deficit solid angle, which are accompanied by nontrivial scalar field regular at the black hole event horizon. We derive the conditions for the coupling functions in the DHOST Lagrangian that allow the exact solutions, clarify their compatibility with the degeneracy conditions, and provide general form of coupling functions as well as simple models that satisfy the conditions.