AI 中文总结
该研究构建具有类空梯度的Horndeski标量毛发的热力学框架，推导其本构关系，将其应用于静态球对称构型并关联热平衡的Tolman-Ehrenfest判据。
AI 中文摘要
我们为具有类空标量场梯度的可行Horndeski标量毛发构建了热力学框架。将(1+1+2)形式主义适配到该标量构型，我们对该模型应用有效非理想流体分解，并推导支配其热力学性质的一般结果。具体而言，我们在依赖观测者和独立观测者两种方法中推断出该有效介质的本构关系，从而确定标量毛发可接受热力学解释的条件。依赖观测者的方法得出与具有优选空间方向的各向异性介质的类比，而独立观测者的观点显示出与分层介质的相似性。随后将一般结果专门应用于仅随面积半径变化的静态球对称标量毛发构型，该场景使我们能够将该热力学框架与热平衡的Tolman-Ehrenfest判据相联系。
英文摘要
We develop a thermomechanical framework for viable Horndeski scalar hair with spacelike scalar-field gradients. Adapting the $(1{+}1{+}2)$ formalism to the scalar configuration, we apply the effective imperfect-fluid decomposition to the model and derive general results governing its thermomechanical properties. Specifically, we infer the constitutive relations for the effective medium, in both observer-dependent and observer-independent approaches, thereby identifying the conditions under which the scalar hair admits thermomechanical interpretations. The observer-dependent approach leads to an analogy with anisotropic media characterized by a preferred spatial direction, whereas the observer-independent view shows similarities with layered media. The general results are then specialized to static, spherically symmetric configurations with scalar hair depending solely on the areal radius. Interestingly, this scenario allows us to connect the thermomechanical framework with the Tolman--Ehrenfest criterion for thermal equilibrium.
Comments34 pages, 2 tables
