标题： 洛维洛克理论中的共形耦合标量 显示英文标题

标题： Conformally coupled scalar in Lovelock theory

摘要： 在任意高维情况下，我们考虑了Lovelock引力与由高阶算子和Euler密度构建的标量张量作用的组合。后一作用被构造成确保标量场的共形不变性。对于这些理论的组合版本，我们展示了黑洞解的存在，这些解被解释为Lovelock引力理论中的隐蔽构型。标量场解具有一个可以被识别为标量荷的积分常数。特别是，我们展示了这些隐蔽解可以扩展到包含时变标量场，尽管潜在的理论是非移位对称的。最后，我们提出了从所考虑的理论中在偶数维度获得非共形不变作用的过程。对于目标理论，标量场虽然本身方程共形不变，但并不与引力共形耦合。通过这一过程，黑洞隐蔽构型被转化为非隐蔽黑洞解，这在最近的四维研究中已被发现。 显示英文摘要

摘要： In arbitrary higher dimension, we consider the combination of Lovelock gravity alongside a scalar-tensor action built out of higher order operators and Euler densities. The latter action is constructed in such a way as to ensure conformal invariance for the scalar field. For the combined version of these theories, we show the existence of black hole solutions interpreted as stealth configurations within Lovelock gravity theory. The scalar field solutions are endowed with an integration constant that may be identified as a scalar charge. In particular, we show that these stealth solutions can be extended to include a time-dependent scalar field despite the underlying theory being non shift-symmetric. Finally, we present a procedure to obtain a non-conformally invariant action in even dimensions from the considered theory. For the target theory, the scalar field is not conformally coupled to gravity although the scalar field equation itself is conformally invariant. By means of this procedure, the black hole stealth configurations are converted into non-stealth black hole solutions, as discovered recently in four dimensions.