In this paper we present the generalization of Chern-Simons-like theories of gravity (CSLTG) to spin-3. We propose a Lagrangian describing the spin-3 fields coupled to Chern-Simons-like theories of gravity. Then we obtain conserved charges of these theories by using a quasi-local formalism. We find a general formula for entropy of black holes solutions of Spin-3 CSLTG. As an example, we apply our formalism to the spin-3 Generalized minimal massive gravity (GMMG) model. We analysis this model at linearized level and show that this model propagate two massive spin-2 modes and two massive spin-3 modes. We find no-ghost and no-tachyon conditions, which can be satisfy in the parameter space of the model. Then we find energy, angular momentum and entropy of a special black hole solution of this model.

中文翻译：

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$\textrm{Spin-3}$ 类似陈-西蒙斯的引力理论的熵公式和守恒电荷

在本文中，我们介绍了类陈-西蒙斯引力理论 (CSLTG) 对自旋 3 的推广。我们提出了一个描述自旋 3 场的拉格朗日量与类似陈-西蒙斯的引力理论耦合。然后我们通过使用准局域形式来获得这些理论的守恒电荷。我们找到了 Spin-3 CSLTG 黑洞解熵的一般公式。例如，我们将我们的形式主义应用于自旋 3 广义最小质量引力 (GMMG) 模型。我们在线性化水平上分析了该模型，并表明该模型传播了两种大规模自旋 2 模式和两种大规模自旋 3 模式。我们找到了无重影和无速子条件，它们可以在模型的参数空间中满足。然后我们找到这个模型的特殊黑洞解的能量、角动量和熵。