Power-law anisotropic cosmological solution in 5+1 dimensional Gauss-Bonnet gravity
A. Toporensky, P. Tretyakov
本文给出了一个在Gauss-Bonnet引力下的5+1维平坦宇宙的各向异性解。在所研究的模型中，这个解取代了宇宙学奇点附近的广义Kasner解。
We write down an anisotropic solution for a flat 5+1 dimensional Universe in Gauss-Bonnet gravity. In the model under investigation this solution replaces the generalized Kasner solution near a cosmological singularity.
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Exact exponential solutions in Einstein-Gauss-Bonnet flat anisotropic cosmology
本文研究Einstein-Gauss-Bonnet引力场的指数解（即尺度因子随时间呈指数变化的解）。我们认为，我们发现所有可能的非恒定体积的解决方案（排列）在较低的维度（（4+1）和（5+1）），并制定了一个计划，允许一个找到必要的条件，在任意维度。
We consider a particular example of dynamical compactification of an anisotropic 7+1 dimensional Universe in Einstein - Gauss - Bonnet gravity. Starting from rather general totally anisotropic initial conditions a Universe in question evolves towards a product of two isotropic subspaces. The first subspace expands isotropically, the second represents an "inner" isotropic subspace with stabilized size. The dynamical evolution does not require fine-tuning of initial conditions, though it is possible for a particular range of coupling constants. The corresponding condition have been found analyti…
The nature of singularity in multidimensional anisotropic Gauss-Bonnet cosmology with a perfect fluid
本文研究了在高斯-邦尼引力下，（4+1）维和（5+1）维各向异性平坦宇宙中理想流体的动力学行为。找到了状态方程参数$w=1/3$特定值的解析解，并对$w$其它值的宇宙学奇点结构进行了数值研究。我们发现对于$w > 1/3$奇异性是各向同性的。讨论了（4+1）维和（5+1）维情形之间的几个重要区别。
This paper is devoted to studying anisotropic compact stellar structures by adopting embedding class-1 technique in the background of modified Gauss-Bonnet gravity. The unknown constants are evaluated by the matching of interior spacetime with the Schwarzschild exterior geometry corresponding to $f(\mathcal{G})=χ\mathcal{G}^{n}$ model, where $χ$ and $n$ are positive constants. The observed masses of compact star candidates (SAX J1808.4-3658, Vela X-1, PSR J0348+0432, 4U 1608-52) are used with the condition of vanishing radial pressure at the stellar surface to predict their radii. We have exam…
In the present work we have investigated a new anisotropic solution for polytropic star in the framework of $4D$ Einstein-Gauss-Bonnet (EGB) gravity. The possibility of determining the masses and radii of compact stars which puts some limitations on equation of state (EoS) above the nuclear saturation density. For this purpose, the $4D$ EGB field equations are solved by taking a generalized polytropic equation of state (EoS) with Finch-Skea ansatz. The generalized solution for anisotropic model has been tested for different values of Gauss-Bonnet constant $α$ which satisfies all the physical c…
A note on differences between (4+1)- and (5+1)-dimensional anisotropic cosmology in the presence of the Gauss-Bonnet term
研究了一个在作用量中除了通常的爱因斯坦项外还含有Gauss-Bonnet（GB）贡献的平坦各向异性（5+1）维宇宙模型。与（4+1）维情况进行了比较，发现相应的宇宙动力学性质有很大的不同.这种差异表现在模型从GB项主导到Einstein项主导的平滑过渡的概率上-在初始条件空间上的合理度量下，这种概率对于（4+1）情况几乎为零，对于（5+1）情况约为60%。我们讨论这种差异以及所考虑的模型的动力学的一些功能。
Black holes in the Einstein -Gauss-Bonnet theory and the geometry of their thermodynamics-II
本文研究了EGB理论中的带电黑洞，即Einstein-Maxwell-Gauss-Bonnet（EMGB）黑洞和EGB引力场中的黑洞.利用Gauss-Bonnet理论中的修正熵，研究了这两个黑洞解的热力学几何。
Kerr-Gauss-Bonnet Black Holes: An Analytical Approximation
Gauss-Bonnet引力理论为研究超对称弦论中爱因斯坦作用量的曲率修正提供了一个最有前途的框架，同时避免了鬼现象，保持了二阶场方程。虽然高斯-邦内黑洞的Schwarzschild型解早已为人所知，但Kerr-Gauss-Bonnet度规却一直缺失。本文解析地导出了自旋黑洞的五维Gauss-Bonnet近似，并简述了有关的物理性质。
Gauss-Bonnet type identity in Weyl-Cartan space
在Weyl-Cartan空间中，利用变分方法导出了Gauss-Bonnet型恒等式.
Black Holes in Gauss-Bonnet Gravity's Rainbow
本文将Gauss-Bonnet引力理论推广为能量相关的Gauss-Bonnet引力理论，称之为Gauss-Bonnet引力彩虹。我们还将把这个理论与麦克斯韦理论结合起来。我们将分析这个依赖能量的高斯-邦纳引力彩虹中的黑洞解。我们将计算高斯-邦纳引力彩虹对黑洞热力学的修正。我们将证明，即使黑洞的热力学在高斯-邦纳引力的彩虹中得到了修改，热力学的热力学第一定律仍然适用于这个修改后的热力学。我们还将对该理论中的黑洞解的热稳定性进行评述。
New Anisotropic Gauss-Bonnet Black Holes in Five Dimensions at the Critical Point
本文在五维Einstein-Gauss-Bonnet引力临界点处构造了具有各向异性视界的新型真空静态黑洞解，揭示了度规简并性与临界耦合常数的关联，并证明了特定条件下的唯一性定理。
The geometry of the higher dimensional black hole thermodynamics in Einstein-Gauss-Bonnet theory
本文讨论了球对称时空中具有宇宙学常数的（a）Einstein-Yang-Mills-Gauss-Bonnet理论和（b）Einstein-Maxwell-Gauss-Bonnet理论中的五维黑洞解。黑洞热力学的几何已经研究了这两个黑洞。
On anisotropic Gauss-Bonnet cosmologies in (n+1) dimensions, governed by an n-dimensional Finslerian 4-metric
研究了（n +1）维Einstein-Gauss-Bonnet（EGB）模型.对于对角宇宙学度规，运动方程被写成一组拉格朗日方程，有效拉格朗日量包含R^n上的两个“小超空间”度规：伪欧几里德签名的2度规和与n维伯瓦尔德-摩尔4度规成比例的芬斯勒4度规。对于“纯”Gauss-Bonnet模型，给出了两个精确解，即尺度因子（w.r.t.）同步时间变量）。(The幂律解是N. Deruelle，A. Toporensky，P. Tretyakov，and S. Pavluchenko.）在EGB宇宙学的情况下，证明了对于尺度因子为指数依赖的非平凡解，a_i（τ）= A_iexp（v^i τ），v^1，…，v^n.
We consider numerically dynamics of a flat anisotropic Universe in Einstein-Gauss-Bonnet gravity with positive $Λ$ in dimensionalities 5+1 and 6+1. We identify three possible outcomes of the evolution, one singular and two nonsingular. First nonsingular outcome is oscillatory. Second is the known exponential solution. The simplest version of it is the isotropic de Sitter solution. In Gauss-Bonnet cosmology there exist also anisotropic exponential solutions. When an exponential solution being an outcome of cosmological evolution has two different Hubble parameters, the evolution leads from init…
Strong Gravitational Lensing with Gauss-Bonnet correction
本文研究了高斯-邦纳引力下的强引力透镜。通过考虑偏转角的对数项，我们得到偏转角$\hatα$和相应的参数$\bar{a}$和$\bar{b}$。最后，利用观测量与透镜参数之间的关系，对高斯-邦纳背景下的相对论像的观测量$θ_{\infty}$、$s$和$r_m$进行了估计。
We consider the Gauss-Bonnet corrected Bardeen black hole solution in 4-D AdS space-time. The solution is obtained by the limiting procedure adopted by Glavan and Lin in 4-D Einstein-Gauss-Bonnet gravity. The general form of first law of black hole thermodynamics is utilized to calculate various thermodynamics variables. The solution exhibit P-v criticality and belong to the universality class of van-der Waals fluid. The effect of Gauss-Bonnet coupling is investigated on critical parameters and inversion temperature.
The time delay in strong gravitational lensing with Gauss-Bonnet correction
研究了高斯-邦纳引力支配下的强引力透镜中两个相对论像之间的时间延迟。推导并计算了高斯-博内耦合引起的时滞表达式。结果表明，当两幅图像之间的距离较大时，图像间的时间延迟较大。我们还发现在类似$\fracα{M}\in[0,2)$的区域内，高斯-邦纳系数与引力源质量的比值发生变化。时间延迟与$\fracα{M}\longrightarrow 2$不同。
Evolution of Brane-Localised Standard Model Fields in Gauss-Bonnet theory
研究了高维Gauss-Bonnet时空中四维膜上的无质量标量场、Dirac场和电磁场的传播。我们在时域中计算了球对称黑洞的基本准正规模。我们还观察到一个普遍的行为，独立于一个字段和值的高斯-邦纳参数，在渐近晚的时间。
The influence of non-minimal coupling of a scalar field and the Gauss-Bonnet term on the inflationary stage of evolution of the universe is investigated in this paper. The main cosmological effects of such a coupling were considered. The deviations between Einstein-Gauss-Bonnet inflation and standard one based on Einstein gravity were determined. The corrections of a weak GB coupling preserving the type of the scalar field potential to standard inflationary models is considered as well.
We have investigated tidal forces and geodesic deviation motion in the 4D-Einstein-Gauss-Bonnet spacetime. Our results show that tidal force and geodesic deviation motion depend sharply on the sign of Gauss-Bonnet coupling constant. Comparing with Schwarzschild spacetime, the strength of tidal force becomes stronger for the negative Gauss-Bonnet coupling constant, but is weaker for the positive one. Moreover, tidal force behaves like those in the Schwarzschild spacetime as the coupling constant is negative, and like those in Reissner-Nordström black hole as the constant is positive. We also pr…
We consider black hole in Einstein-Gauss-Bonnet(EGB) gravity in a dynamical setup and also the stationary black hole in recently discovered\cite{Glavan} $4$-dimensional novel Einstein-Gauss-Bonnet gravity. For dynamical EGB black hole in completely local settings we calculate the temperature associated with the horizon. For the stationary black hole in $4$-dimensional novel EGB theory we explore the thermodynamic properties including calculation of temperature and entropy.
5D-Black Hole Solution in Einstein-Yang-Mills-Gauss-Bonnet Theory
采用五维形式的吴杨算符，我们给出了EYMGB理论中的一个封闭形式的黑洞解.在EYM极限下，我们恢复了已知的5D黑洞解。
We investigate the absorption cross section of planar scalar massless waves impinging on spherically symmetric black holes which are solutions of the novel 4D Einstein-Gauss-Bonnet theory of gravity. Besides the mass of the black hole, the solution depends also on the Gauss-Bonnet constant coupling. Using the partial waves approach, we show that the absorption cross section depends on the Gauss-Bonnet coupling constant. Our numerical results present excellent agreement with the low- and high- frequency approximations, including the so-called sinc approximation.
Global properties of dilatonic Gauss-Bonnet black holes
本文研究了与标量场非极小耦合的Einstein Gauss-Bonnet系统球对称解的相空间，证明了四维中唯一正则的黑洞解是渐近平坦的
In this paper, we first use the optical metrics of black-bounce traversable wormholes to calculate the Gaussian curvature. Then we use the Gauss-Bonnet theorem to obtain the weak deflection angle of light from the black-bounce traversable wormholes. Then we investigate the effect of dark matter medium on weak deflection angle using the Gauss-Bonnet theorem. We show how weak deflection angle of wormhole is affected by the bounce parameter $a$. Using the Gauss-bonnet theorem for calculating weak deflection angle shows us that light bending can be thought as a global and topological effect.
A new approach to exact solutions construction in scalar cosmology with a Gauss-Bonnet term
研究了四维Friedmann宇宙中基于Einstein-Gauss-Bonnet引力的标量场与Gauss-Bonnet项非最小耦合的宇宙学模型。我们展示了如何构造的精确解的方法的基础上的哈勃参数的对抗模型中考虑与标准的标量场暴胀宇宙学。
Black hole solutions of dimensionally reduced Einstein-Gauss-Bonnet gravity with a cosmological constant
本文研究了由具有宇宙学常数的六维Einstein-Gauss-Bonnet作用量降维得到的系统球对称解的相空间。我们证明了所有的物理解都具有反de Sitter渐近行为。
Global properties of charged dilatonic Gauss-Bonnet black holes
研究了与标量场非极小耦合的Einstein-Maxwell-Gauss-Bonnet系统球对称解的相空间，证明了除了渐近平坦解外，还存在非寻常渐近解.我们还发现了双电子爱因斯坦-麦克斯韦理论的新的双电子解。
Horizons of radiating black holes in Einstein gauss-bonnet gravity
研究了具有Gauss-Bonnet二次曲率项贡献的5维Einstein引力场中基于Vaidya的辐射黑洞模型。确定了辐射黑洞的视视界和事件视界的结构和位置。
Internal structure of a Maxwell-Gauss-Bonnet black hole
研究了麦克斯韦场对静态、渐近平坦、球对称高斯-博内黑洞的影响。数值计算表明，如果电荷增加超过一个临界值，内行列式奇异性被取代的内奇异视界。
Asymptotic properties of black hole solutions in dimensionally reduced Einstein-Gauss-Bonnet gravity
本文研究了由六维Einstein-Gauss-Bonnet作用量降维得到的系统球对称解的渐近性态。我们表明，在一般的标量场参数化的内部空间的大小是不平凡的，但尽管如此，解决方案取决于一个单一的参数。与其他包含高斯-邦纳项的模型类似，如果假设视界的最小半径，则可以避免裸奇点。
The purpose of this Comment is to point out that there are conceptual and mathematical flaws in the analysis in "Light deflection by Damour-Solodukhin wormholes and Gauss-Bonnet theorem, Phys. Rev. D 98, 044033 (2018) by Ali Övgün".
The objective of this paper is to analyze the weak deflection angle of Einstein-Gauss-Bonnet gravity in the presence of plasma medium. To attain our results, we implement the Gibbons and Werner approach and use the Gauss-Bonnet theorem to Einstein gravity to acquire the resulting deflection angle of photon's ray in the weak field limit. Moreover, we illustrate the behavior of plasma medium and non-plasma mediums on the deflection of photon's ray in the framework of Einstein-Gauss-Bonnet gravity. Similarly, we observe the graphical influences of deflection angle on Einstein-Gauss-Bonnet gravity…
Lagrangian Brane Dynamics in General Relativity and Einstein-Gauss-Bonnet Gravity
本文给出了广义相对论和Einstein-Gauss-Bonnet引力中膜作用量和膜动力学的一种新的、简明的推导方法。我们提出了一个统一的处理，适用于类时表面层和类空过渡层，并包括考虑更困难的类光的情况。
We will examine whether anisotropic hairs exist in a string-inspired scalar-Gauss-Bonnet gravity model with the absence of potential of scalar field during the inflationary phase. As a result, we are able to obtain the Bianchi type I power-law solution to this model under the assumption that the scalar field acts as the phantom field, whose kinetic is negative definite. However, the obtained anisotropic hair of this model turns out to be large, which is inconsistent with the observational data. We will therefore introduce a nontrivial coupling between scalar and vector fields such as $f^2(ϕ)F_…
Black hole solutions of dimensionally reduced Einstein-Gauss-Bonnet gravity
我们研究了由六维Einstein-Gauss- Bonnet作用量降维得到的系统球对称解的相空间。我们证明了解的存在性与非平坦的渐近行为。
Rotating Boson Stars in Einstein-Gauss-Bonnet gravity
本文在五个时空维中考虑了与爱因斯坦-高斯-邦纳引力最小耦合的复标量场的自相互作用SU（2）偶态。经典方程中包含两族孤子，分别对应于自旋玻色子星和非自旋玻色子星。一般的解决方案构造数值和同意的精确结果，可在特殊限制的参数。玻色子星的图案被证明是定性的高斯-邦纳耦合常数的影响。
Inhomogeneous Dust Collapse in 5D Einstein-Gauss-Bonnet Gravity
本文考虑了爱因斯坦引力场中具有Gauss-Bonnet二次曲率组合的Lemaitre-Tolman- Bondi型时空，给出了封闭形式的精确解。事实证明，高斯-邦纳项的耦合常数的存在，α> 0，完全改变了奇异性的因果结构，从类似的广义相对论的情况。在五维Gauss-Bonnet扩展的爱因斯坦方程中，非均匀尘埃的引力坍缩导致了一个大质量但弱的类时奇点的形成，而这在广义相对论中是不允许的.有趣的是，这是三个猜想的反例，即宇宙监督猜想，箍猜想和塞弗特猜想。
In this paper, we have investigated the dynamics of magnetized particles around 4-D Einstein-Gauss-Bonnet black hole immersed in an external asymptotically uniform magnetic field. We have shown that the magnetic interaction parameter responsible for circular orbits decreases for negative values of the Gauss-Bonnet parameter $α$ and the range where magnetized particle's stable circular orbits are allowed increases for the positive values of the parameter $α$. The study of the collisions of magnetized, charged and neutral particles has shown that the center-of-mass energy of the particles increa…
We argue that several statements in Phys. Rev. Lett. 124, 081301 (2020) are not correct.
Spherical symmetric fields on torsion-free Palatini Gauss-Bonnet theory
该研究探讨了无旋Palatini爱因斯坦-高斯-博内理论中的球对称场，发现方程复杂且存在额外的隐藏规范对称性。
Radiating black hole solutions in Einstein-Gauss-Bonnet gravity
本文给出了Einstein-Gauss-Bonnet方程的一些新的精确解。首先，我们证明了一个定理，使我们能够找到一个大家庭的解决方案，爱因斯坦-高斯-邦纳引力在$n$维。这一系列的解决方案代表动态黑洞，并包含，作为特殊情况下，不仅最近发现的Vaidya-Einstein-Gauss-Bonnet黑洞，但也有其他的物理解决方案，我们认为是新的，如高斯-Bonnet版本的Bonnor-Vaidya（德西特/反德西特）解决方案，一个全球性的解决方案和侯赛因黑洞。我们还提出了一个更一般的版本，这个定理中的能量动量张量施加较少的限制性条件。作为这个定理的应用，我们给出了Born-Infeld非线性电动力学中辐射带电零流体的黑洞的精确解。
Domain-Walls in Einstein-Gauss-Bonnet Bulk
研究了d+1维Einstein-Gauss-Bonnet（EGB）体中d维畴壁的动力学行为.导出了高斯-博内（GB）项在壁面上诱导的有效势的精确表达式。在没有GB项的情况下，我们恢复了熟悉的引力势和反谐振子势。包含GB校正引起的最小反弹半径的Friedmann-Robertson-Walker（FRW）宇宙膨胀的DW上的负压。
We obtain a class of new anisotropic relativistic solution in Einstein Gauss-Bonnet (EGB) gravity with Finch-Skea metric in hydrostatic equilibrium. The relativistic solutions are employed to construct anisotropic stellar models for strange star with MIT Bag equation of state $ p_{r}= \frac{1}{3} \left( ρ- 4 B_{g}\right)$, where $B_{g}$ is the Bag constants. Considering the mass and radius of a known star PSR J0348+0432 we construct stellar models in the framework of higher dimensions. We also predict the mass and radius of stars for different model parameters. The Gauss-Bonnet coupling term (…
Static spherically symmetric star in Gauss-Bonnet gravity
我们在没有宇宙学常数的Gauss-Bonnet引力场中研究了静态球对称恒星，给出了一个精确的内部解，它依附于恒星外的外部真空解.结果表明，具有正耦合常数的Gauss-Bonnet项的存在完全改变了恒星表面的热能和引力能，以及谱线红移的上界。与广义相对论不同，在我们的例子中，红移的上限取决于恒星的密度。证明了广义相对论中判定恒星平衡稳定性的两个定理在Gauss-Bonnet引力下也成立。
In this paper, we extend the work on the AdS/QCD model to quadratic gravity to gain insight into the influence of gravity. We obtain an anisotropic black brane solution to a $5D$ Einstein-Gauss-Bonnet-two Maxwell-dilaton system. The background is specified by an arbitrary exponent, a dilaton field, a time component of the first Maxwell field, and a magnetic component of the second Maxwell field. The system in three cases has been investigated and in each case the effect of the parameter of theory, the anisotropic parameter has been considered. The blackening function supports the thermodynamic…
Inspired by the Lifshitz gravity as a theory with anisotropic scaling behavior, we suggest a new $(n+1)-$dimensional metric in which the time and spatial coordinates scale anisotropically as $(t,r,θ_{i})\,\to (λ^{z}t,λ^{-1}r,λ^{x_i}\,θ_{i})$. Due to the anisotropic scaling dimension of the spatial coordinates, this spacetime does not support the full Schrödinger symmetry group. We look for the analytical solution of Gauss-Bonnet gravity in the context of the mentioned geometry. We show that Gauss-Bonnet gravity admits an analytical solution provided that the constants of the theory are properl…
Holographic Superconductors with various condensates in Einstein-Gauss-Bonnet gravity
我们在Einstein-Gauss-Bonnet引力下研究全息超导体。我们考虑两个特殊的背景：一个$d$ -维Gauss-Bonnet-AdS黑洞和一个Gauss-Bonnet-AdS孤子。详细讨论了标量场的质量、Gauss-Bonnet耦合和AdS空间的维数对凝聚形成和电导率的影响。我们还研究了不同质量的标量场和Gauss-Bonnet耦合的比例$ω_g/T_c $。
Strongly-Coupled Anisotropic Gauge Theories and Holography in 5D Einstien-Gauss-Bonnet Gravity
本文通过五维爱因斯坦-高斯-博内-轴子-伸缩子引力模型研究强耦合各向异性系统的全息对偶，发现黑膜热力学相变、蝴蝶速度在红外饱和并可超过共形界限，并计算了重夸克势虚部。
Gauss-Bonnet Gravity with Scalar Field in Four Dimensions
在一定的假设下，给出了四维Einstein-Gauss-Bonnet场方程与标量场耦合的所有精确解。
We propose a boundary term to the Einstein-Gauss-Bonnet action for gravity, which is constructed as the dimensional continuation of the Chern-Weil theorem, and such that the extremization of the full action yields the equations of motion when Dirichlet boundary conditions are imposed. When translated into tensorial language, this boundary term is the generalization to this theory of the Katz boundary term and vector for general relativity. The construction allows to deal with a general background and includes the Gibbons-Hawking-Myers boundary term as a special case, when the background is tak…
Perturbations of Gauss-Bonnet Black Strings in Codimension-2 Braneworlds
我们推导出的Lichnerowicz方程中存在的高斯-Bonnet项。利用修正的Lichnerowicz方程研究了余维2膜世界中Gauss-Bonnet黑弦的度规扰动。
To ensure the existence of a well defined linearized gravitational wave equation, we show that the spacetimes in the so-called "Einstein-Gauss-Bonnet gravity in four dimension" have to be locally conformally flat.
Constant volume exponential solutions in Einstein-Gauss-Bonnet flat anisotropic cosmology with a perfect fluid
本文研究了Einstein-Gauss-Bonnet引力场中的常数体积指数解（即标度因子随时间呈指数变化而使共动体积保持不变的解）。我们发现这些解决方案存在的条件，并表明，他们是兼容的状态方程参数$ω<1/3$的任何完美的流体，如果宇宙的物质密度超过一些临界值。我们写出了一些精确解，这些精确解推广了我们在前一篇论文中发现的具有宇宙学常数的模型。
We have studied the polarized image of an equatorial emitting ring around a 4D Gauss-Bonnet black hole. Our results show that the effects of Gauss-Bonnet parameter on the polarized image depend on the magnetic field configuration, the observation inclination angle, and the fluid velocity. As the magnetic field lies in the equatorial plane, the observed polarization intensity increases monotonously with Gauss-Bonnet parameter in the low inclination angle case, and its monotonicity disappears in the case with high inclination angle. However, as the magnetic field is vertical to the equatorial pl…
We discuss a new extended gravity model in ordinary $D=4$ spacetime dimensions, where an additional term in the action involving Gauss-Bonnet topological density is included without the need to couple it to matter fields unlike the case of ordinary D=4 Gauss-Bonnet gravity models. Avoiding the Gauss-Bonnet density becoming a total derivative is achieved by employing the formalism of metric-independent non-Riemannian spacetime volume-forms. The non-Riemannian volume element triggers dynamically the Gauss-Bonnet scalar to become an arbitrary integration constant on-shell. We describe in some det…
Conserved Charges in Einstein Gauss-Bonnet theory
使用诺特的身份，我们定义了一个超势相对于爱因斯坦高斯-邦纳引力理论的背景。作为一个例子，我们证明了在反德西特时空中，与之相关的守恒电荷产生了D维高斯-博内黑洞的质能。
We study the bending of light in the space-time of black holes in four-dimensional Einstein-Gauss-Bonnet theory of gravity, recently proposed by Glavan and Lin \cite{Glavan}. Using Rindler-Ishak method, the effect of Gauss-Bonnet coupling on the bending angle is studied. We show that a positive Gauss-Bonnet coupling gives a negative contribution to the Schwarzschild-de Sitter deflection angle, as one would expect.
We study charged black hole solutions in 4-dimensional (4D) Einstein-Gauss-Bonnet-Maxwell theory to the linearized perturbation level. We first compute the shear viscosity to entropy density ratio. We then demonstrate how bulk causal structure analysis imposes a upper bound on the Gauss-Bonnet coupling constant in the AdS space. Causality constrains the value of Gauss-Bonnet coupling constant $α_{GB}$ to be bounded by $α_{GB}\leq 0$ as $D\rightarrow 4$.
In this paper we have analytically investigated holographic superconductors in four dimensional Einstein-Gauss-Bonnet gravity background. Recently the novel four dimensional Einstein-Gauss-Bonnet gravity has been formulated by rescaling the Gauss-Bonnet coupling constant $α\rightarrow \fracα{d-4}$ and taking the limit $d\rightarrow 4$, and this predicts several interesting new features. To know the effect of the curvature correction on the $(2+1)$-dimensional superconductors, we have consider the $3+1$-dimensional Einstein-Gauss-Bonnet gravity. Using the Sturm-Liouville eigenvalue approach, th…
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