Horizons of radiating black holes in Einstein gauss-bonnet gravity
S. G. Ghosh, D. W. Deshkar
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。
A Vaidya-based model of a radiating black-hole is studied in a 5-dimensional Einstein gravity with Gauss-Bonnet contribution of quadratic curvature terms. The structure and locations of the apparent and event horizons of the radiating black hole are determined.
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Dynamics of Charged Radiating Collapse in Modified Gauss-Bonnet Gravity
本文研究了修正的Gauss-Bonnet引力场中无剪切荷电辐射坍缩的动力学。建立了荷电耗散星无剪切球内部几何的场方程。为了研究坍缩物质的动力学行为，我们导出了坍缩物质的动力学方程和输运方程。我们的结论是，与广义相对论相比，修正的Gauss-Bonnet引力中的引力要强得多，这意味着坍缩速率的增加。最后，我们研究了电荷对崩塌动力学的影响。
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。
Recently Glavan and Lin [Phys. Rev. Lett. 124, 081301 (2020)] formulated a novel Einstein-Gauss-Bonnet gravity in which the Gauss-Bonnet coupling has been rescaled as $α/(D-4)$ and the $4D$ theory is defined as the limit $D \rightarrow 4$, which preserves the number degrees of freedom thereby free from the Ostrogradsky instability. We present exact spherically symmetric nonstatic null dust solutions in the novel 4D Einstein-Gauss-Bonnet gravity that bypasses the Lovelock theorem. Our solution represents radiating black holes and regains, in the limit $α\rightarrow 0$, the famous Vaidya black h…
The main purpose of this paper is to investigates structure scalars in the context of $f(\mathcal{G}, T)$ gravity, where $\mathcal{G}$ is the Gauss-Bonnet invariant and $T$ is the trace of stress energy tensor. For this aim, we have considered the spherically symmetric spacetime and dissipative anisotropic fluid coupled with radiation and heat ejecting shearing matter distributions. We have found these scalar variables by orthogonally decomposing the Riemann curvature tensor in $f(\mathcal{G}, T)$ gravity. Moreover, the evolution equations of shear and expansion are also developed with the hel…
5D Radiating black holes in Einstein-Yang-Mills-Gauss-Bonnet gravity
本文导出了五维（5D）中零流体对Einstein-Yang-Mills（EYM）方程在Gauss-Bonnet（GB）二次曲率项组合的耦合下的非静态球对称解，即五维EYMGB辐射黑洞解.结果表明，在极限下，我们可以恢复已知的辐射黑洞解。我们还得到了已知的球对称5D静态黑洞解。讨论了GB项和Yang-Mills（YM）规范荷对5D辐射黑洞视界结构和位置的影响。
A Vaidya-type radiating solution in Einstein-Gauss-Bonnet gravity and its application to braneworld
本文考虑了爱因斯坦引力中具有Gauss-Bonnet二次曲率项组合的Vaidya型辐射时空。简单地推广了Einstein-Gauss-Bonnet引力中已知的静态黑洞解，给出了任意维的精确解，其能量动量张量以零流体形式给出.作为应用，我们导出了Gauss-Bonnet膜世界中"暗辐射“的演化方程.
We present exact spherically symmetric null dust solutions in the third order Lovelock gravity with a string cloud background in arbitrary $N$ dimensions,. This represents radiating black holes and generalizes the well known Vaidya solution to Lovelock gravity with a string cloud in the background. We also discuss the energy conditions and horizon structures, and explicitly bring out the effect of the string clouds on the horizon structure of black hole solutions for the higher dimensional general relativity and Einstein-Gauss-Bonnet theories. It turns out that the presence of the coupling con…
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.
In this paper, we will generalize the Gauss-Bonnet gravity to an energy dependent Gauss-Bonnet theory of gravity, which we shall call as the Gauss-Bonnet gravity's rainbow. We will also couple this theory to a Maxwell's theory. We will analyze black hole solutions in this energy dependent Gauss-Bonnet gravity's rainbow. We will calculate the modifications to the thermodynamics of black holes in the Gauss-Bonnet's gravity's rainbow. We will demonstrate that even though the thermodynamics of the black holes get modified in the Gauss-Bonnet gravity's rainbow, the first law of thermodynamics still…
In recent times there is a surge of interest in constructing Einstein-Gauss-Bonnet (EGB) gravity, in the limit $D \to 4 $, of the $D$-dimensional EGB gravity. Interestingly, the static spherically symmetric solutions in the various proposed $D \to 4 $ regularized EGB gravities coincide, and incidentally some other theories also admit the same solution. We prove a theorem that characterizes a large family of nonstatic or radiating spherically symmetric solutions to the $4D$ EGB gravity, representing, in general, spherically symmetric Type II fluid. An extension of the theorem, given without pro…
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。
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。
Power-law anisotropic cosmological solution in 5+1 dimensional Gauss-Bonnet gravity
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 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 between two relativistic images in the strong gravitational lensing governed by Gauss-Bonnet gravity is studied. We derive and calculate the expression of time delay due to the Gauss-Bonnet coupling. It is shown that the time delay for two images with larger space each other is longer. We also find that the ratio of Gauss-Bonnet coefficient and the mass of gravitational source changes in the region like $\fracα{M}\in[0,2)$. The time delay is divergent with $\fracα{M}\longrightarrow 2$.
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。
Noether and Belinfante corrected types of currents for perturbations in the Einstein-Gauss-Bonnet gravity
在任意$D$维度规理论的框架下，扰动被认为是在任意背景下，然而，该理论的解决方案。根据两个已知的规定：典型的Nether定理和Belinfante对称化规则，提出了微扰的守恒电流。利用推广的公式，构造了在任意弯曲背景（不仅是真空）上任意类型扰动下的Einstein-Gauss-Bonnet（EGB）引力流的显式协变形式.特别注意的是能量动量张量的扰动，这是一个重要组成部分的结构的电流。我们使用导出的表达式进行两个应用计算：a）提出的能量密度弱平坦引力波在$D$维EGB引力; b）构建的质量通量的Maeda-Dadhich-Molina三维辐射黑洞的卡鲁扎-克莱因型在6D EGB引力。
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.
We study the cosmological model based on Einstein-Gauss-Bonnet gravity with non-minimal coupling of a scalar field to a Gauss-Bonnet term in 4D Friedmann universe. We show how constructing the exact solutions by the method based on a confrontation of the Hubble parameter in the model under consideration with that in a standard scalar field inflationary cosmology.
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。
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。
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。
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。
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。
Charged gravitational instantons in five-dimensional Einstein-Gauss-Bonnet-Maxwell theory
我们研究了耦合到麦克斯韦场的5维Einstein-Gauus-Bonnet理论的解，麦克斯韦场的欧几里德延拓产生了描述黑洞对产生的瞬子。我们还讨论了与引力耦合的三型场的对偶理论。
We study a higher order conformally coupled scalar tensor theory endowed with a covariant geometric constraint relating the scalar curvature with the Gauss-Bonnet scalar. It is a particular Horndeski theory including a canonical kinetic term but without shift or parity symmetry for the scalar. The theory also stems from a Kaluza-Klein reduction of a well defined higher dimensional metric theory. Properties of an asymptotically flat spherically symmetric black hole are analyzed, and new slowly rotating and radiating extensions are found. Through disformal transformations of the static configura…
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 $。
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.
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…
A positive mass theorem in the Einstein-Gauss-Bonnet theory
作为Einstein-Gauss-Bonnet理论和我们在Gauss-Bonnet-Chern质量（Ge，Wang，Wu）上的工作的一个有趣的应用，在$R+αL_2$非负的条件下，我们得到了$\R^{n+1}$中渐近平坦图的正质量定理，其中$R$是数量曲率，$α\in\R$是常数，$L_2$是第二Gauss-Bonnet曲率.在$α>0$情形下，得到了一个Penrose型不等式.
Accelerating vacua in Gauss-Bonnet gravity
加速真空最大对称，但不一定是球形的，部分爱因斯坦和高斯-邦纳引力在一般的尺寸。在爱因斯坦引力中，加速度参数具有改变宇宙学常数的作用，而在高斯-邦纳引力中，加速度存在时的有效宇宙学常数与无加速度时的有效宇宙学常数保持不变。
The Gauss-Bonnet-Chern mass of conformally flat manifolds
本文证明了渐近平坦CF流形及其刚性的正质量定理和最近在\cite{GWW}中引入的Gauss-Bonnet-Chern质量的Penrose型不等式.
We give an explicit formula for the Gauss-Bonnet-Chern mass of an asymptotically flat graphical manifold of arbitrary codimension and use it to prove the positive mass theorem and the Penrose inequality for graphs with flat normal bundle.
The topological classification of critical points of black holes in 4D Einstein-Gauss-Bonnet gravity coupled to Born-Infeld theory is investigated. Considered independently, Born-infeld corrections to the Einstein action alter the topological charge of critical points of the charged AdS black hole system, whereas the Gauss-Bonnet corrections do not. For the combined system though, the total topological charge of the Einstein-Gauss-Bonnet theory is unaltered in the presence of Born-Infeld coupling.
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