标题： 准拓扑 Lifshitz 稀疏子黑洞脑 显示英文标题

标题： Quasitopological Lifshitz dilaton black brane

摘要： 我们构建了一类新的$(n+1)$维 Lifshitz 稀释子黑洞膜解，在平边界存在三次准拓扑引力的情况下。 相关的动作通过应用一些条件来支持渐近 Lifshitz 解，这些条件在整个论文中被使用。 我们必须向体动作中添加一个新的边界项和一些新的抵消项，以获得有限的解。 然后我们定义了一个有限的应力张量复数，通过它可以计算准拓扑 Lifshitz 稀释子黑洞膜的能量密度。 无法获得解析解，因此我们使用一些展开来探测函数在视界附近和无穷远处的行为。 结合方程，我们可以沿坐标$r$获得一个总常数。 在视界处，这个常数与温度和熵的乘积成正比，在无穷远处，总常数显示了准拓扑 Lifshitz 稀释子黑洞膜的能量密度。 因此，我们可以得到守恒量温度、熵和能量密度之间的关系，并得到一个 Smarr 类型公式。 利用热力学第一定律，我们可以找到熵和温度之间的关系，然后得到热容量。 我们的结果表明，对于动力学临界指数$z$的每个正数值，准拓扑 Lifshitz 稀释子黑洞膜解是热稳定的。 显示英文摘要

摘要： We construct a new class of $(n+1)$-dimensional Lifshitz dilaton black brane solutions in the presence of the cubic quasitopological gravity for a flat boundary. The related action supports asymptotically Lifshitz solutions by applying some conditions which are used throughout the paper. We have to add a new boundary term and some new counterterms to the bulk action to have finite solutions. Then we define a finite stress tensor complex by which we can calculate the energy density of the quasitopological Lifshitz dilaton black brane. It is not possible to obtain analytical solutions, and so we use some expantions to probe the functions behaviors near the horizon and at the infinity. Combining the equations, we can attain a total constant along the coordinate $r$. At the horizon, this constant is proportional to the product of the temperature and the entropy and at the infinity, the total constant shows the energ density of the quasitopological Lifshitz dilaton black brane. Therefore, we can reach to a relation between the conserved quantities temperature, entropy and the energy density and get a smarr-type formula. Using the first law of thermodynamics, we can find a relation between the entropy and the temperature and then ontain the heat capacity. Our results show that the quasitopological Lifshitz dilaton black brane solutions are thermally stable for each positive values of the dynamical critiacl exponent, $z$.