We derived local boundary counterterms in massive gravity theory with a negative cosmological constant in four dimensions. With these counterterms at hand we analyzed the properties of the boundary field theory in the context of AdS/CFT duality by calculating the boundary stress energy tensor. The calculation shows that the boundary stress energy tensor is conserved, and momentum dissipation might occur on the level of linear response only. We also calculated the thermodynamic quantities and the boundary stress energy tensor for a specific type of solutions. The thermodynamic potentials agree with the results of literature up to some constants which can be removed by adding finite counterterms.the AdS boundary, such as a constant and combinations of Riemann and Ricci tensors. The counterterms are independent of which solution of the Einstein equations is being discussed. With the counterterms added to the gravity action the authors of [5] derived finite actions and finite boundary stress energy tensors on the field theory side. And the Casimir energy and conformal anomalies of the boundary theory were also computed. The counterterms was also investigated in detail in the paper [6]. The paper [7] gave a systematic method to derive the counterterms from the point of view of boundary stress energy tensor. From viewpoint of the action, the method of constructing the counterterms was analyzed in [8][9][10][11] and many other papers written by the authors. The authors analyzed the asymptotic behavior of the gravity action and extracted its divergent part, and their derivation included the counterterms for spacetimes containing matter fields.All of the above are stories in Einstein gravity with a negative cosmological constant. Recently a modified gravity theory-massive gravity theory has been discussed in many papers (see for instance, [27]) in the context of holography to realize momentum dissipation in the field theory on the boundary. However, solution-independent local counterterms for this theory is still unknown. The main task of this paper is to address this problem. Before telling the main story we would like to introduce massive gravity in brief.From the viewpoint of linear gravity theory, the graviton in Einstein gravity has no mass which can be read out from the well known massless Fierz-Pauli equations. Fierz and Pauli have introduced a mass for the graviton long time ago [15]. However, this kind of massive gravity suffers from the vDVZ discontinuity to Einstein gravity when the mass of graviton approaches zero [16] and from the Boulware-Deser ghost [17]. The first problem can be solved by the so-called Vainshtein mechanism in some sense [18]. However, generally, the Boulware-Deser ghost popularly exits in this kind of theories. Recently, the massive gravity was generalized to a non-linear theory, the so-called dRGT theory, by de Rham, Gabadadze, and Tolley in the work [19,20,24]. This nonlinear theory was proven to be ghost-free by Hassan and Rosen [22,23]. For more details the readers can refer to the nic...

We study the effect of the Gauss-Bonnet term on the complexity growth rate of dual field theory using the "Complexity-Volume" (CV) and CV2.0 conjectures. We investigate the late time value and full time evolution of the complexity growth rate of the Gauss-Bonnet black holes with horizons with zero curvature (k = 0), positive curvature (k = 1) and negative curvature (k = −1) respectively. For the k = 0 and k = 1 cases we find that the Gauss-Bonnet term suppresses the growth rate as expected, while in the k = −1 case the effect of the Gauss-Bonnet term may be opposite to what is expected. The reason for it is briefly discussed, and the comparison of our results to the result obtained by using the "Complexity-Action" (CA) conjecture is also presented. We also briefly investigate two proposals applying some generalized volume functionals dual to the complexity in higher curvature gravity theories, and find their behaviors are different for k = 0 at late times. Contents

In dRGT massive gravity, to get the equations of motion, the square root tensor is assumed to be invertible in the variation of the action. However, this condition can not be fulfilled when the reference metric is degenerate. This implies that the resulting equations of motion might be different from the case where the reference metric has full rank. In this paper, by generalizing the Moore-Penrose inverse to the cases of symmetric tensors on Lorentz manifolds, we get the equations of motion of the theory with a degenerate reference metric. It is found that the equations of motion are a little bit different from those in the non-degenerate cases. Based on the result of the equations of motion, for the (2 + n)-dimensional solutions with the symmetry of ndimensional maximally symmetric space, we prove a generalized Birkhoff theorem in the case where the degenerate reference metric has rank n, i.e., we show that the solutions must be Schwarzschild-type or Nariai-BertottiRobinson-type under the given assumptions. *

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Fuzhuan brick tea (FBT) is traditionally consumed by the ethnic group in the border region of northwest China. The unique yellow fungal (Eurotium cristatum) growth phase is considered to be the key process point in the manufacture of the brick tea. The fungi from FBT are not only strongly correlated to the quality of brick tea, but also have the potential function of preventing obesity. The water extract of fungi (100 μg/mL) can significantly inhibit fat deposition in 3T3-L1 adipocyte and Caenorhabditis elegans. Furthermore, the inhibition of 3T3-L1 adipocyte formation was not due to the suppression on cell viability.

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Background: As a third-generation antiseizure medication (ASM), lacosamide (LCM) is recommended worldwide for patients with epilepsy. We aimed to provide more conclusive evidence for the safety and tolerability of LCM in patients with epilepsy.Methods: A systematic search was performed on MEDLINE, Embase, Cochrane Library, CBM, CNKI, IDB, VIP Database, and Wanfang Database from inception to 2021 March, and all studies assessing the safety of LCM were included. A meta-analysis was performed for safety data of LCM.Results: Eighty-three studies involving 12268 populations (11 randomized clinical trials (RCTs), 16 cohort studies, 53 case series, and 3 case reports) were included in our study. Meta-analysis of the total incidence of adverse events (AEs) of LCM was 38.7% [95% CI (35.1%, 45.8%); n=75 studies]. Incidence of withdrawal due to AEs was 10.8% [95% CI (9.1%, 12.6%); n=56 studies], and incidence of serious adverse events (SAEs) was 6.5% [95% CI (4.0%, 8.9%); n=13 studies]. Most AEs were in the nervous system and digestive system. The most common AEs were sedation (15.8%), dizziness (15.7%), fatigue (9.4%), and nausea/vomiting (9.3%). For children, the total incidence of AEs of LCM was 32.8% [95% CI (21.6%, 44.0%); n=16 studies], and the most common AEs were dizziness (8.6%), nausea/vomiting (8.6%), and somnolence (6.8%).Conclusion: Lacosamide is generally safe and well tolerated in patients with epilepsy. Common AEs were sedation, dizziness, and fatigue. It is necessary to pay more attention to the prevention and management of these AEs and conduct more large-scale and high-quality studies to update safety data.

In this paper, taking the large R limit and using the complexity-volume duality, we investigate the holographic complexity growth rate of a field state defined on the universe located at an asymptotical AdS boundary in Gauss-Bonnet gravity and massive gravity, respectively. For the Gauss-Bonnet gravity case, its growth behavior of the state mainly presents three kinds of contributions: one, as a finite term viewed as an interaction term, comes from a conserved charge, the second one is from the spatial volume of the universe and the third one relates the curvature of the horizon in the AdS Gauss-Bonnet black hole, where the Gauss-Bonnet effect plays a vital role on such growth rate. For massive gravity case, except the first divergent term still obeying the growth rate of the spatial volume of the Universe, its results reveal the more interesting novel phenomenons: beside the conserved charge E, the graviton mass term also provides its effect to the finite term ; and the third divergent term is determined by the spatial curvature of its horizon k and graviton mass effect; furthermore, the graviton mass effect can be completely responsible for the second divergent term as a new additional term saturating an area law. * Electronic address: wjpan˙zhgkxy@163.com