论文标题
普遍的准著作严重性：整个Shebang
Generalized quasi-topological gravities: the whole shebang
论文作者
论文摘要
普遍的准居民重力（GQTG）是爱因斯坦重力的较高展扩展，$ d $ dimensions。 Their defining properties include possessing second-order linearized equations of motion around maximally symmetric backgrounds as well as non-hairy generalizations of Schwarzschild's black hole characterized by a single function, $f(r)\equiv - g_{tt}=g_{rr}^{-1}$, which satisfies a second-order differential equation.在ARXIV中：1909.07983 GQTG在曲率和一般$ d $中都存在于所有订单中。在本文中，我们证明，实际上，$ n-1 $不等订单类别-N $ gqtgs存在于$ d \ geq 5 $中。在这些中，我们表明一种（也只有一种）类型的密度是准本质类型的，即$ f（r）$的方程式是代数。我们的论点对$ d = 4 $不起作用，在这种情况下，每个顺序似乎都有一个独特的GQT密度，而不是准topogical类型。我们计算最通用的$ d $维订单的热力学费用 - $ n $ gqtg，验证它们是否满足第一定律，并提供证据表明它们可以完全用嵌入函数编写，从而确定该理论的最大对称性真空。
Generalized quasi-topological gravities (GQTGs) are higher-curvature extensions of Einstein gravity in $D$-dimensions. Their defining properties include possessing second-order linearized equations of motion around maximally symmetric backgrounds as well as non-hairy generalizations of Schwarzschild's black hole characterized by a single function, $f(r)\equiv - g_{tt}=g_{rr}^{-1}$, which satisfies a second-order differential equation. In arXiv:1909.07983 GQTGs were shown to exist at all orders in curvature and for general $D$. In this paper we prove that, in fact, $n-1$ inequivalent classes of order-$n$ GQTGs exist for $D\geq 5$. Amongst these, we show that one -- and only one -- type of densities is of the Quasi-topological kind, namely, such that the equation for $f(r)$ is algebraic. Our arguments do not work for $D=4$, in which case there seems to be a single unique GQT density at each order which is not of the Quasi-topological kind. We compute the thermodynamic charges of the most general $D$-dimensional order-$n$ GQTG, verify that they satisfy the first law and provide evidence that they can be entirely written in terms of the embedding function which determines the maximally symmetric vacua of the theory.
