Vladimir Dzhunushaliev
The idea is considered that a quantum wormhole in a spacetime foam can be described as a Ricci flow. In this interpretation the Ricci flow is a statistical system and every metric in the Ricci flow is a microscopical state. The probability density of the microscopical state is connected with a Perelman's functional of a rescaled Ricci flow.
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We study the evolution of wormhole geometries under Ricci flow using numerical methods. Depending on values of initial data parameters, wormhole throats either pinch off or evolve to a monotonically growing state. The transition between these two behaviors exhibits a from of critical phenomena reminiscent of that observed in gravitational collapse. Similar results are obtained for initial data that describe space bubbles attached to asymptotically flat regions. Our numerical methods are applicable to "matter-coupled" Ricci flows derived from conformal invariance in string theory.
Ricci inverse gravity wormholes
本研究在四阶Ricci逆引力背景下提出两类新虫洞解，通过能量条件验证其存在奇异物质，并利用声速参数分析稳定性，证实其现实可行。
We construct stationary Ricci-flat inter-universe Lorentzian wormhole solutions in all D\ge 5 dimensions that connect two flat asymptotic spacetimes. Such a solution can be viewed as the gravity dual of a string tachyon state whose linear momentum is larger than its tension. We focus our analysis on the D=5 wormholes which are not traversable for the timelike and null geodesics; however, we demonstrate that there exist accelerated timelike trajectories that traverse from one asymptotic region to the other. We further study the minimally-coupled scalar wave equation and demonstrate that the qua…
AdS Wormholes from AdS/Ricci-flat Correspondence
针对一般维度中非线性 Einstein-phantom 理论下 AdS 虫洞难以求解的问题，本文利用扩展含 axion 场的 AdS/Ricci-flat 对应构造 AdS 虫洞，并讨论 Ellis-Bronnikov 类解。
New embedded wormhole solutions in Ricci inverse gravity
本文在四阶Ricci逆引力中采用class-I方法构造两个新的嵌入虫洞解，并通过形状函数、能量条件、嵌入图和红蓝移分析验证其可穿越性。
In this paper we study a class of wormhole solutions called generalized Ellis-Bronnikov wormholes in the context of asymptotically safe gravity (ASG). These solutions are characterized by two parameters: an even number $n$ and the wormhole throat radius $r_t$. The particular case $n=2$ recovers the usual Ellis-Bronnikov spacetime, which has already been addressed in the literature. We analyzed the nature of matter in the wormhole's throat, and in nearby regions, of these generalized solutions with $n>2$, using three curvature scalars in the ASG approach, namely, the Ricci scalar, squared Ricci…
Wormhole Reconstruction in Non-Conservative Unimodular Gravity: Ricci Scalar as an Independently Prescribed Curvature Profile
针对非保守单模引力，提出以里奇标量为独立曲率轮廓的虫洞重构框架，得到不同静态球对称虫洞解，明确曲率参数与指数对解的影响，为生成致密天体时空提供可行几何方案。
We consider wormhole geometries subject to a gravitational action consisting of non-linear powers of the Ricci scalar. Specifically, wormhole throats are studied in the case where Einstein gravity is supplemented with a Ricci-squared and inverse Ricci term. In this modified theory it is found that static wormhole throats respecting the weak energy condition can exist. The analysis is done locally in the vicinity of the throat, which eliminates certain restrictions on the models introduced by considering the global topology.
A multidimensional cosmological model with space-time consisting of $n (n \ge 2)$ Einstein spaces $M_{i}$ is investigated in the presence of a cosmological constant $Λ$ and a homogeneous minimally coupled scalar field $φ(t)$ as a matter source. Classical and quantum wormhole solutions are obtained for $Λ< 0$ and all $M_{i}$ being Ricci-flat. Classical wormhole solutions are also found for $Λ< 0$ and only one of the $M_{i}$ being Ricci-flat for the case of spontaneous compactification of the internal dimensions with fine tuning of parameters.
In this work, we consider the possibility of expanding wormholes in higher-dimensions, which is an important ingredient of modern theories of fundamental physics. An important motivation is that non-trivial topological objects such as microscopic wormholes may have been enlarged to macroscopic sizes in an expanding inflationary cosmological background. Since the Ricci scalar is only a function of time in standard cosmological models, we use this property as a simplifying assumption. More specifically, we consider a particular class of wormhole solutions corresponding to the choice of a spatial…
Dark energy and dark matter configurations for wormholes and solitionic hierarchies of nonmetric Ricci flows and $F(R,T,Q,T_{m})$ gravity
本文推广 AFCDM 以解耦并积分非度量几何流和修正引力中的非线性场方程，构造可穿越虫洞与孤子形变解，并阐释其暗能量、暗物质及 Perelman 热力学意义。
Traversable Wormhole De-singularization: Almost $η$-Ricci-Yamabe Solitons in Static Spherically Symmetric Imperfect Fluid Spacetimes
研究与非理想流体耦合的静态球对称黑洞的几乎\(η -\)里奇 - Yamabe 孤子，通过正则化时间坐标等方法证明几何流可将黑洞转变为可穿越虫洞喉部，还表明孤子能保持宇宙时空，且几何流引入局部耗散机制。
The topology change in quantum gravity is modeled by a Ricci flow. In this approach we offer to consider the Ricci flow as a statistical system. The metric in the Ricci flow enumerated by a parameter $λ$ is a microscopical statistical state. The probability of every microscopical state is determined by the parameter $λ$. Numerically the Ricci flow starting from a static wormhole filled with a phantom Sine-Gordon scalar field is investigated.
Defect wormholes are defective
本文深入反驳了 Klinkhamer 的“defect wormholes”作为处处真空且 Ricci 平坦精确解的主张，指出其逆度规在喉部不连续，运用 Israel--Lanczos--Sen 薄壳形式揭示其本质是违反能量条件的普通薄壳虫洞，且所用坐标系在喉部存在病态。
New rotating Lorentzian wormhole spacetime
本文构造了已知静态洛伦兹虫洞的旋转版本，采用Azreg-Aïnou方法克服了标准Newman-Janis算法的局限，证明了新时空的正则性与虫洞特征，并计算了其阴影与Kerr几何及观测进行对比。
We show that, contrary to what is usually claimed in the literature, the zero mass limit of Kerr spacetime is not flat Minkowski space but a spacetime whose geometry is only locally flat. This limiting spacetime, as the Kerr spacetime itself, contains two asymptotic regions and hence cannot be topologically trivial. It also contains a curvature singularity, because the power-law singularity of the Weyl tensor vanishes in the limit but there remains a distributional contribution of the Ricci tensor. This spacetime can be interpreted as a wormhole sourced by a negative tension ring. We also exte…
Wormholes are hypothetical shortcuts in spacetime that in General Relativity unavoidably violate all of the pointwise energy conditions. In this paper, we consider several wormhole spacetimes that, as opposed to the standard \emph{designer} procedure frequently employed in the literature, arise directly from gravitational actions including additional terms resulting from contractions of the Ricci tensor with the metric, and which are formulated assuming independence between metric and connection (Palatini approach). We reinterpret such wormhole solutions under the prism of General Relativity a…
Holographic RG flows and wormholes from sinusoidal scalars
研究在双AdS边界施加正弦标量源诱导的半经典几何，发现大虫洞始终主导引力路径积分，其对应多值β函数的奇异全息RG流，不连通几何与虫洞对应不同红外行为。
Wormhole spacetimes in an expanding universe: Energy conditions and future singularities
本文研究了膨胀宇宙中虫洞时空的稳定性及未来奇点问题，提出了一种基于四标量非线性σ模型的虫洞解，揭示了能量条件与宇宙膨胀之间的关系。
The underlying hypothesis of this work is that the active galactic nuclei (AGNs) are wormhole mouths rather than supermassive black holes (SMBHs). Under some - quite general - assumptions such wormholes may emit gamma radiation as a result of a collision of accreting flows inside the wormholes. This radiation has a distinctive spectrum much different from those of jets or accretion disks of AGNs. An observation of such radiation would serve as evidence of the existence of wormholes.
The quantum non-linear $σ$-model RG flow and integrability in wormhole geometries
本文在非线性σ模型的Ricci流和RG-2流下数值研究球对称渐近平坦虫洞的演化，发现所有度量最终都会收缩断裂，表明Morris-Thorne虫洞对应的σ模型不可积且不可重整化，并计算了Hamilton熵与Brown-York能量的演化。
Within vacuum Weyl gravity, we obtain a solution by which, using different choices of the conformal factor, we derive metrics describing (i)~a bounce of the universe; (ii)~toroidal and spherical wormholes; and (iii)~a change in metric signature. It is demonstrated that singularities occurring in these systems are "masked". We give a simple explanation of the possibility of masking the singularities within Weyl gravity. It is shown that in the first and third cases the three-dimensional metrics form Ricci flows. The question of the possible applicability of conformal Weyl gravity as some phenom…
Ellis-Bronnikov Wormhole Shadows with Spherically Symmetric Accretion Flow
通过广义相对论辐射传输模拟，比较Ellis-Bronnikov虫洞与Schwarzschild黑洞在球对称稳态吸积流下的阴影和光子环亮度差异，发现虫洞因无事件视界而更亮，且两者均与M87*的EHT观测结果基本一致。
An exhaustive classification of certain class of static solutions for the five-dimensional Einstein-Gauss-Bonnet theory in vacuum is presented. The class of metrics under consideration is such that the spacelike section is a warped product of the real line with a nontrivial base manifold. It is shown that for generic values of the coupling constants the base manifold must be necessarily of constant curvature, and the solution reduces to the topological extension of the Boulware-Deser metric. It is also shown that the base manifold admits a wider class of geometries for the special case when th…
Hamilton's Ricci flow (RF) equations were recently expressed in terms of the edge lengths of a d-dimensional piecewise linear (PL) simplicial geometry, for d greater than or equal to 2. The structure of the simplicial Ricci flow (SRF) equations are dimensionally agnostic. These SRF equations were tested numerically and analytically in 3D for simple models and reproduced qualitatively the solution of continuum RF equations including a Type-1 neckpinch singularity. Here we examine a continuum limit of the SRF equations for 3D neck pinch geometries with an arbitrary radial profile. We show that t…
We use numerical techniques to study the formation of singularities in Ricci flow. Comparing the Ricci flows corresponding to a one parameter family of initial geometries on S^3 with varying amounts of S^2 neck pinching, we find critical behavior at the threshold of singularity formation.
Spacetime triple wormhole
通过球面反演三环面构造了一个具有三个喉部的非薄壳、非球对称时空虫洞，并证明其为爱因斯坦场方程的非真空精确解，回答了爱因斯坦和罗森关于多喉解存在的问题。
General Relativistic magneto-hydrodynamical simulations of accretion flows through traversable wormholes
本文首次对可穿越虫洞两侧的吸积流开展GRMHD模拟，揭示等离子体在喉部聚集成热旋转云并驱动对侧轻度相对论风，指出其表现不同于黑洞。
This paper investigates the various spherically symmetric wormhole solutions in the presence of tidal forces and applies numerous methods, such as test particle orbital dynamics, ray-tracing and microlensing. We make the theoretical predictions on the test particle orbital motion around the tidal wormholes with the use of normalized by $\mathcal{L}^2$ effective potential. In order to obtain the ray-tracing images (of both geometrically thin and thick accretion disks, relativistic jets), we properly modify the open source $\texttt{GYOTO}$ code with python interface. We applied this techniques t…
The model of a spiral galaxy with radially directed flows of dark matter is extended by exotic matter, in a form of a perfect fluid with a linear anisotropic equation of state. The exotic matter is collected in the minimum of gravitational potential and opens a wormhole in the center of the galaxy. The flows of dark matter pass through the wormhole and form a mirror galaxy on the other side. The influence of model parameters to the shape of solution is studied, a solution matching parameters of Milky Way galaxy is computed.
In Riemannian geometry, the Ricci flow is the analogue of heat diffusion; a deformation of the metric tensor driven by its Ricci curvature. As a step towards resolving the problem of time in quantum gravity, we attempt to merge the Ricci flow equation with the Hamilton-Jacobi equation for general relativity.
In the Ellis wormhole metrics we study characteristics of fluid dynamics and the properties of linear sound waves. By implying the energy-momentum equation and the continuity equation in the general relativistic manner we examine the flow dynamics and solve the corresponding equations for a relatively simple case - radial flow. To study the linear sound waves the equations governing the mentioned physical system are linearized and solved and interesting characteristic properties are found.
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