论文标题
在三个维度的广义标量张量理论的旋转黑洞
Spinning black holes for generalized scalar tensor theories in three dimensions
论文作者
论文摘要
我们在三个维度中考虑了一类标量张量理论，其动作包含标量场的二阶导数，并具有仅取决于标量场的标准动力学项的耦合函数，从而确保在标量场的恒定移位下的不变性。对于此模型，我们表明固定度量ANSATZ的场方程以及纯粹的径向标量场可以完全集成。标量场解的动力学项显示仅根据耦合函数满足代数关系，因此是恒定的，而公制解只是BTZ度量的，其BTZ度量是根据耦合函数固定的有效宇宙常数。作为直接结果，尽管存在标量场，但溶液的热力学与具有有效宇宙的BTZ相同。最后，该溶液的半古典熵的表达也通过广义的肤色样公式确认，该公式涉及从黑洞获得的标量孤子的质量，该公式通过双灯芯旋转从黑洞获得。
We consider a general class of scalar tensor theories in three dimensions whose action contains up to second-order derivatives of the scalar field with coupling functions that only depend on the standard kinetic term of the scalar field, thus ensuring the invariance under the constant shift of the scalar field. For this model, we show that the field equations for a stationary metric ansatz together with a purely radial scalar field can be fully integrated. The kinetic term of the scalar field solution is shown to satisfy an algebraic relation depending only on the coupling functions, and hence is constant while the metric solution is nothing but the BTZ metric with an effective cosmological constant fixed in terms of the coupling functions. As a direct consequence the thermodynamics of the solution is shown to be identical to the BTZ one with an effective cosmological constant, despite the presence of a scalar field. Finally, the expression of the semi-classical entropy of this solution is also confirmed through a generalized Cardy-like formula involving the mass of the scalar soliton obtained from the black hole by means of a double Wick rotation.
