Post-Newtonian dynamics and black hole thermodynamics in Einstein-scalar-Gauss-Bonnet gravity
Post-Newtonian dynamics and black hole thermodynamics in Einstein-scalar-Gauss-Bonnet gravity
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DOI：
10.1103/physrevd.100.104061
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发表时间：
2019-09
影响因子：
5
通讯作者：
F. Juli'e;E. Berti
中科院分区：
文献类型：
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作者：
F. Juli'e;E. Berti
我们研究爱因斯坦标量高斯博内引力理论中黑洞双星的后牛顿动力学。为此，我们在高斯-邦内耦合 $\alpha$ 中建立了四阶静态球对称黑洞解。然后，我们通过将这些解决方案简化为具有标量场相关质量的点粒子来“骨架化”这些解决方案，表明该过程相当于固定黑洞在缓慢螺旋过程中的沃尔德熵。标量场的宇宙学价值在双星的动力学中起着至关重要的作用。我们计算了第一后牛顿阶的二体拉格朗日量，并表明不需要正则化过程即可获得对有限场的高斯-博内特贡献。我们通过Pad'e恢复所谓的“敏感性”来说明我们方法的力量，“敏感性”测量骨架化身体与标量场的耦合，以实现一些特定的感兴趣的理论。
We study the post-Newtonian dynamics of black hole binaries in Einstein-scalar-Gauss-Bonnet gravity theories. To this aim we build static, spherically symmetric black hole solutions at fourth order in the Gauss-Bonnet coupling $\alpha$. We then "skeletonize" these solutions by reducing them to point particles with scalar field-dependent masses, showing that this procedure amounts to fixing the Wald entropy of the black holes during their slow inspiral. The cosmological value of the scalar field plays a crucial role in the dynamics of the binary. We compute the two-body Lagrangian at first post-Newtonian order and show that no regularization procedure is needed to obtain the Gauss-Bonnet contributions to the fields, which are finite. We illustrate the power of our approach by Pad\'e-resumming the so-called "sensitivities," which measure the coupling of the skeletonized body to the scalar field, for some specific theories of interest.