Charged scalar quasi-normal modes for higher-dimensional Born-Infeld dilatonic black holes with Lifshitz scaling

We study quasi-normal modes for a higher dimensional black hole with Lifshitz scaling, as these quasi-normal modes can be used to test Lifshitz models with large extra dimensions. Furthermore, as the effective Planck scale is brought down in many models with large extra dimensions, we study these quasi-normal modes for a UV completion action. Thus, we analyze quasi-normal modes for higher dimensional dilaton-Lifshitz black hole solutions coupled to a non-linear Born-Infeld action. We will analyze the charged perturbations for such a black hole solution. We will first analyze the general conditions for stability analytically, for a positive potential. Then, we analyze this system for a charged perturbation as well as negative potential, using the asymptotic iteration method for quasi-normal modes. Thus, we analyze the behavior of these modes numerically.Comment: 9 pages (two columns), 4 figures (including subfigures

Some results on the cofiniteness of local cohomology modules

summary:Let $R$ be a commutative Noetherian ring, $\mathfrak {a}$ an ideal of $R$, $M$ an $R$-module and $t$ a non-negative integer. In this paper we show that the class of minimax modules includes the class of $\mathcal {AF}$ modules. The main result is that if the $R$-module ${\rm Ext}^t_R(R/\mathfrak {a},M)$ is finite (finitely generated), $H^i_\mathfrak {a}(M)$ is $\mathfrak {a}$-cofinite for all $i<t$ and $H^t_\mathfrak {a}(M)$ is minimax then $H^t_\mathfrak {a}(M)$ is $\mathfrak {a}$-cofinite. As a consequence we show that if $M$ and $N$ are finite $R$-modules and $H^i_\mathfrak {a}(N)$ is minimax for all $i<t$ then the set of associated prime ideals of the generalized local cohomology module $H^t_\mathfrak {a}(M,N)$ is finite

CIVIL LIABILITY OF THE INCONCLUSIVE CAUSALITY OF THE MEDICAL TEAM IN IRAN, INDIA AND BRITAIN

Abstract. Statement of Problem and Research Questions. In the legal system of Iran, India, and England (Common Law), the issue of Tort committed by the medical team happens when in reality, there is the knowledge of damage inflicted by several causes, however it is not clear which cause has caused the damage. In the Iranian law, there have been suggested several ways for determining the liability of damage compensation such as the implementation of the right of choice in the cases of tort, the sentence establishment of the jurists as a rule, drawing, Citation to judicial circumstantial presumption, Compensation from public funds, treasury, Execution and aggregation of two conflictingsentences, Risk theory, presumption of responsibility, and the application of great judge authority, and in the Penal Code of 2015, the liability is equal. In the Indian Law, in terms of tort law in civil liability, there have not been offered any specific sentences. However, in the section 43 of the Contractual Law of 1872 on compensation of the shared damages in which the share of the parties is not determined, they are equally responsible for damage compensation, but in case one of the parties is deceased, the other party will be responsible for the compensation